diff --git a/README.md b/README.md
index 3b71d37..de58717 100644
--- a/README.md
+++ b/README.md
@@ -120,7 +120,7 @@ Computes given integral with the limits of integration being 0 and 1 using Rando
### Usage:
```Python
-from src.algorithms.support_algorithms.rqmc import RQMC
+from src.procedures.support.rqmc import RQMC
rqmc = RQMC(lambda x: x**3 - x**2 + 1, error_tolerance=1e-5)
```
So `rqmc()[0]` is estimated integral value and `rqmc()[1]` is current error tolerance.
diff --git a/jupyter_examples/MLE Analysis of Bitcoin Data via PySATL-NMVM.ipynb b/jupyter_examples/MLE Analysis of Bitcoin Data via PySATL-NMVM.ipynb
new file mode 100644
index 0000000..65e765b
--- /dev/null
+++ b/jupyter_examples/MLE Analysis of Bitcoin Data via PySATL-NMVM.ipynb
@@ -0,0 +1,762 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "7d7aebd7-ddb0-4ebb-8ad5-5645222f55cb",
+ "metadata": {},
+ "source": [
+ "# MLE Analysis of Bitcoin Data via PySATL-NMVM"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "4fb2a7c1-1a0d-4d71-953e-db00b6b2d6d9",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import seaborn as sns\n",
+ "import numpy as np\n",
+ "import mplfinance as mpf\n",
+ "from matplotlib import pyplot as plt\n",
+ "from scipy.stats import fit\n",
+ "from scipy.stats import genhyperbolic\n",
+ "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
+ "from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator\n",
+ "from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiParametricEstimator\n",
+ "from src.algorithms.semiparam_algorithms.nm_semi_param_algorithms.sigma_estimation_eigenvalue_based import SemiParametricMeanSigmaEstimationEigenvalueBased"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fed5d043-1162-4db4-9739-df74741e7542",
+ "metadata": {},
+ "source": [
+ "Изначальные данные $-$ это сделки на бирже ByBit по торговой паре BTC/USDT за период 24.04.2025-24.05.2025. Всего наблюдений порядка $23\\cdot10^6$\n",
+ "\n",
+ "Данные были агрегированные в бары по 10000\\$, из каждого выписаны основные показатели:\n",
+ "- $open$: цена открытия первой сделки в баре\n",
+ "- $close$: цена закрытия последней сделки в баре\n",
+ "- $low$: минимальная стоимость биткоина среди всех сделок в баре\n",
+ "- $high$: максимальная стоимость биткоина среди всех сделок в баре\n",
+ "- $volume$: суммарный объем сделок в баре\n",
+ "- $legth$: количество сделок в баре\n",
+ "\n",
+ "На основе нового датасета добавлен ещё один столб:\n",
+ "- $h_n$: возврат - разница между ценами закрытия $n$-ой и $(n-1)$-ой сделками\n",
+ "\n",
+ "В новом датасете получилось около $33\\cdot10^3$ наблюдений\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "12ec03ab-d97d-4a12-9392-e8fde28b0a59",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv(\"data/bitcoin_example.csv\", index_col=\"bar\")\n",
+ "df['hn'] = df['close'] - df['close'].shift(1)\n",
+ "df.loc[0, 'hn'] = 0"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "86084818-17bc-4385-92da-5636e599b962",
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df['timestamp'] = pd.to_datetime(df['timestamp'])\n",
+ "candles = df.set_index('timestamp')\n",
+ "mpf.plot(candles, type='candle', style='charles', ylabel='Price', volume=False, figratio=(12, 6), warn_too_much_data=34000)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3605d37f-a728-4350-9c62-4c874b7e0140",
+ "metadata": {},
+ "source": [
+ "Построим график плотности возвратов"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "868cc55f-170b-4555-a1a8-ec636af21133",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'density')"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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+xGS/w7y/hYg2+t670ZyX+y/ynR8ioruI6NdE9CQR/Y7NPMzNzTlbXIii3mK54qwLkRAka1ccb0gksJUX3MpjhTdGMl9EJUJ90FEs20aoXrvMJVxvKC0SIpIOuVtNfPU9AB4koruZWeKwe3wIwBgzn05EVwC4BcDlRHQ2ADk+Rx5iAdxHRGeauO1/L3HcmfndRJQD4PrUsETS3SB0AlkPIvZA1odk08c/x1Q7bfTWkvTl0pgtlDGzEJ1WSRTLthGq1y79CdcbVtfWeQB2MfOzckBEmwFcCsBvSOT4k+b1XQA+Q27oPDm/mZnFf8ZuaZlIekQk974JwAfkBmaWR9lCK32Dskng+2w2i3K57ETok61UKiGXy2F+ft4paHEj4N/v3bsXfX19zjWyF4suTURJL5Vy/xQrlYqTrqQvYSwlpGWttPx7WWUqi4Nkbrc3m0IGwyRdSV8+p1ka8lnVeZqYmHBer1mzpm6e/Psw8vT0nlEnzTX9GUfT0IpBUKXoOGyUsLvyutQzhHUnrgVJC6VSxIq8a0imRWNvD8bGxhp+T2Hk6ejRo046q1atavt7aqXutZsn0S3H69evD6XutZunyUl3mveKFSsi83tqlKe9vv+GMH9PS83T6Kj7OxwZGWn6PcnnyD1R6NpaD+BF3/Eec67mNczOqOuE/E4b3LsJwGEA/0BEvyKiLxBRTTNLRNcQ0batW7eee+DAgSVnQr4IqRxxQfRGLYb0wSnXn9baFdKAxEtaJFzlJsXfvTU5f2zVe7eRehC1sl1ueuP2W+tLsN44D7aL9t8C8MfMLGMq0s0lYy//sfpCZr4NgGwPADhfzjUqRK/Z5/mj8fZi+cV6y1Oo0OiH6aXhXVOdVvW+UVPT09osjeo8yVOHPMFI2vXyVL23nafxovvssumElc5145NT4FTWcR2fLkyDKeMc7ztwEJzOoZzOYbBP+nJnMVEgzM7NY3h4+Lj0u5Enz73EwMBA299TLT2dzpPUBam/8jqMutdunrwn5qGhobp5arQPO0/5qv+GsH5PS82TtEyEwcHBunkK4o8rLEOyF8AG3/HJ5lyta/YQkehaKfWpwb3SMtkjRsTXHfaSQfxOkvR+0E6wv+6q9tpjJMe3SIqIymz9KJZtI1SvXfoTrjesrq0HAZxBRJvMoLgMnt9ddY0cX2VevxvA/ewuvZTzV5hZXdKddQaArcwsfVQvEtFZ5p4Lq8ZcOo70GXrul+NAFPU2WtUu4yRecKvaU4CjM1c/imXbCNVrl5mE6w2lRSJjHkR0PYB7ZVElgNuZ+XEi+hSAbcwsxuKLAL5iBtOPGmMDc92dxkjI2Ml1ZsaW8McAvmaMkwzkf9BmPpL+1NEJ9tVd1d6gRWIWJU7OleB2anWfKJZtI1SvXfoTrje0MRJmvgfAPVXnbvK9ln+Yy+rcezOAm2ucfwTAaxESSQ9e0w5Xf/Rax+Hi06f+WyCdxw3//i+QqSzg0R07cEGdULvVblKm50vGpWP3iVLZtoLqtctMwvXGebA9dOI06yVqesWIvPHqT+DRB55BOkV469Ufd6ZTbrv2DxavqaRfOpNLkPUmvdk05opllNLRyFOUyrYVVK9dehOuV73/BkBmOnizHeJA1PROGTcnA/mMY0SqkTUjstViRa/7zFPIRKMLIWpl2wzVa5eFhOvVFkkAmi3KiRpR0+s5XvS6qqqRqb/1kAH3g5MLkTEkUSvbZqheu2QTrlcNSQBkhWuciJreKePiZDBfr9pV6t7rzdwqZqNhSKJWts1QvXYpJ1yvGpIA1OqOiTJR0+t1bQ0aoxCEwYh1bUWtbJuheu1CCderhiQASa8s7SKzroSBOl1bADVtkaghWRqq1y6UcL1qSAIgLhDiRNT0Ti0UG3ZtETfq2opWiyRqZdsM1WuXUsL1qiEJgHjIjBNR03usa6t2tauk6jtA8brDipl+VCqMVKq7T4BRK9tmqF675BKuV6f/BkDcLMsWF6Kkl1vo2kqVi85Wi1zGXUvCqTSOTHd/mmWUyrYVVK9d5hOuV1skAUi6G4R2KKdyKFXYMQj5TO2WRyXdOPyntGRkUeKLY3M4oSq6YpLLthVUr136E65XWyQBSLpjtnaQLqnGU3+lRbLgbPXwfG7tGZtFt4lS2baC6rXLTML1aoskAEl/6miHQqavyYyt+k4bqwfc94x1PzZ2lMq2FVSvXfoTrlcNSQCS7pitHYrGkNQbaG/ktLF6CnAUDEmUyrYVVK9dZhKuVw1JAJL+1NERQ5LPLrlF4hkhL6ZJN4lS2baC6rVLf8L1qiEJQNKfOtrBW//RTouk34yvHDJx37tJlMq2FVSvXWYSrlcNSQCS/tRhu2urWYtEvAYLhya7P80ySmXbCqrXLv0J16uGJABJf+poh2LaMyTZJbdIenNpgCsYnSmgUKo4U4m7RZTKthVUr11mEq43tF8iEV1MRE9JKF0iuqHG+xKT/Q7z/hYi2uh770ZzXu6/yHf+OSJ6jIgeIaJttvPQ19fnbHEhKnrLFUYx4wbS6c/XX70uga3qBbcSUkTIlt3WyOEuL0qMStm2iuq1S1/C9YZiSIhI/j1uBfB2AGcDuJKIZO/nQwDGmPl0AH8H4BZz79kmfvs5AC4G8FmTnscFzPxqZrYecndubs7Z4kJU9B6amgcohb5cGplU/SrXKLCVR6bk5ueAif2e9LJtFdVrl7mE6w2ra+s8ALuY+Vk5IKLNAC4F8ITvGjn+pHl9F4DPkOuiUs5vZmZ5BN0tLROT3i+WIqRYLDqbRAeT4C7il18+RjZxZCY+aMR1gPQhSvPPv5+dnXWs+OjoqLOXLyKfzzvppcwfZKVScdKV9CWcpdxTKy3/XpqXhUIBmUxG4tA7WzqddtKV9OVzmqUhn1WdJ8mPbPJ+vTz597bytHPvhJPOYD6NdHEGlVQWqXLBGRNZd+JakBgQ6dYics+nc+75csExLG7AK9ehYw8WINX/hcMT2DhQ6VqeZC9MT0+3/T21UvfazZN8hld/w6h77eZJNmF8fDwyv6dGeZr1/TfYrnudyJNXf6emppp+T/I5zQJhtdwiIaIfEtH7iWgg6J83gPUAXvQd7zHnal7DzOKUSf59VjW5V1w4/QsRPURE1zTQfo10fW3duvXcAwcOYKl4f8xxQSpZFPQemFxYNCQNqZTdrQE5r2uryzO3pFy9P7s4ELe6q3rj9d8QpEXyewDeBuBzRPRdAF8H8ANm7uav6Y3MvJeITgDwIyL6NTP/rPoiZr4NgGwPADhfzjXqH/RmNHgDUd5+ZGTE2a9YscLZi4VvloZ3TXVa1ftGsyg8rc3SqJcnSbtenqr3NvI0Xjjk7Ad68yibCIdlMxay78BBcCrrDLCnSvPOeTl2zqdzi9ctsjAN9ANjC4xVq1Z1LU/yROjkaWCgY9+TP/1O52lyctLZe1utPNWiW3nynt6931qUfk+18jRS9d9gs+51Ik/SKhIGBwfr5inIQHyQMZIrAdwhP2UA7wHwbXnYJKLbiOjNTe7dC2CD7/hkc67mNUROX8ZKAKON7hUjYvaHjB7p8lIixr7x+aZTf1slW3b7dQ9GYAqwoigBDQkz38HM7wWwBsCFAO4DMGwGyX9MRDuI6DV1bn8QwBlEtImIcmbw/O6qa+T4KvP63QDuZ/exT85fYWZ1bZJ0AGwlon4icsypvDYtph2wiFhxz5LHgajo9VaiN3LY6CCBrRoEtxKyZrD9kOkuS3rZtorqtUsl4XoDPSIS0VrTMnkfAM9oyC9bupMuAPAVAK+svk/GPIjoegD3ApCO8tuZ+XEi+hSAbcwsxuKLcr8ZTD9qjA3MdXeagXnp1LuOmctGy7dNyEjJx9eZ+YewSLMBp6gRFb37JuZai9XeILCVRyYiLZKolG2rqF67ZBOuNxNksB3AW4whkH/vhwB8wfyBTxGRzLj6RL37mfkeAPdUnbvJ91r+GS6rc+/NAG6uOiczwF6FEJEZD3FaxRoVvftN11Yjz78CVczgX4O4JNnSbCQMSVTKtlVUr10WEq436GD7GICviQFh5ker3v+BmUW1bGk0cBZFoqB3vlh2VqITl9EvK9MbINOCm5GuFJBNEybnS5grlN3V7gkt2yCoXrv0JlxvEEPyhwC+yczuBOQqmHkLANmWLTLfO06VJgp695uFg7KQ0HRD1kXWkAgvmanlQ1I4YbAHe8fnnIWOp67qT2zZBkH12mU24XqDzNr6KoD/7D9BRB8nou1ICP5ptHEgCnr3m4H2nOmSaoQsUGzmuFFYu8K95mAXB9yjULZBUL126U+43iAtEnkYrH6kPKPW4PpyJemO2ZaCtBz8YxuNaOa00WOtidfezXGSKJRtEFSvXWYSrrepISEix62J4WoiepevNSNrOsaREOL0xBEVvV7XViuGpJXWSFQMSRTKNgiq1y79CdfbSovE88IrA+mybNNdunkMmbmVCJL+1LEU9pupv7mSq6UTLZITTNdWNwNcRaFsg6B67TKTcL2tGJILTJfW/TLYLs4UzXlxivQiMz+PhJD0p46lsNdM/c2WO9ciOVFbJIFRvXbpT7jepoaEmX8qeyK6wBgOf1dXokj6U0c7g+06RtJdVK9dZhKut6EhIaLbxbsuM2/23JfUmMIpnkzETcqyJ+lPHUERDzeee5RsC11blQYLEaM4aytOqF679Cdcb7MWyQfMYPpm81rGSaotiZxLhCFJ+lNHUGTR4Eyh7AS0SjcJWCWkyqZFkm42RnKsRSLGqtn6lOVYtkFRvXaZSbjeZobkr30BpD613FeuNyMulSQqer2B9nVDvS95+qhFpYkB8RDnj73ZNGYLZUwvlJr78FqGZRsU1WuXnoTrbWhImPmvfa+96IWJxYsqFpdmbLf1et1aJ63scaKUNSNlglqVm3g9kRaIdG89NzrrdG91w5B0u2yDonrtUki43iAREt9FRJ+Q8LdE9B4i2klE4s49VMeJ3UTCXMoWF7qt14tDsn6oNTcMTClnawWve+tQlwbcu122QVG9dskkXG8QFyn/EcAl5vWtAF4G4LUA/l8kBC9Wclzott5jLZJW/fmI1tb0Ls7cmppPZNkGRfXahROuN4ghEcPxqHGLssoEnxK38OciISS9six1VftJQ53vP1472N2ZW90u26CoXrtwwvVmAl6bMb61RMFPTAz3+q5alxnpdHdclsdVr+dnq9WurVaea7Zv345L3vM+HF75cmDVa/CFzd/BPbc+jNXDK3D75z+LpJRtUFSvXdIJ1xukRfJrABJq90sAdjGzxCY5RXowkBCKxaKzxYVu6/VmbclgeysQl5ytEcUKcMFHbsKr3vR253j4jHOd4yNjk0hS2QZF9dqlmHC9QQzJjTK2Ka7sAfylib0ufri+38rNRHQxET0loXSJ6IYa70tM9jvM+1uIaKPvvRvNebn/oqr70kT0KyL6HiyTz+edLS50U2+lwjhgurZk+m9L96SyLQW3Evrz7hOVTP/tBloX7KJ646W35a4tZv6R8fbr55xW7pU/ezNAL11hewA8SER3M7PEYfeQRY1jzHw6EUm89lsAXE5EZ5v47fJZ6wDcR0RnStx2c9+fAniyhjPJjjM35z5h9/X1IQ50U++R6QUUy4yR/hx6sq01o1sJbOXRn3er7kyXDInWBbuo3njpDTT/i4hkwF2m+w74zzPzPza59TzTHeb46SIiWSl/KQC/IZFjb63KXeIcUuYZm/ObmVlGVXdLy8Sk9wsiEsP2+yae+8eCNOkkZnE2m0W5XHbWJchWKpWQy+UwPz/vzK+W1Z/+vdwj+9HRUecLkC9DrLqkl0q5jbtKpeKkK9dK9DGJRFYrLf9eFgfJvG6ZjucNgkkfpqQr6cvnNEtDPqs6T5KOvJb36+XJv+9knp4ZdY3C2oEcJicnMdDf5/jSkq4raXWI0RAnjetOXAuqFJ33OJV2VrfLsXO+XECqUgSTVNOKk97w0Eqki7MYSNOiIUktTCGXzTrfi808+b8nuV/Kd3p6uu3vqZW6126eRLNXD8Koe+3myRsIHh8fj8zvqVGeFnz/DbbrXifzNDU11fR7ks+RezpiSIjo3wP4LzVcpAjNDMl6cfjoO5ZWyevqXcPMJSKaMLPD5Pwvq+6Vc8J/A/BxWezcRPs1AK7ZsmXLWSeddBJWrZJkgyNflhS+FHocEL1SYQYGjrP7oc7YOnFl681nx9CIK5UWerdymRRyaUKhzJgvcddClcblCVT0ek+hccAr3xUrrHc0dIS5GP43hO1G3uMvzZjKC8b/VlfnuhHRO2XMhpkfIqI3N7qWmW8DINsDAM5v9gfgrfb0Ctnbr1+//rjjRvGOvTS8a6rTqt43WmHqaW2WRnWevEot79fLU/W+U3k6+oS7lv2UVQPOn8H0zKxxE58/rvtq34GD4FTW8fjrGBH5vlJZ93w695JurrHxCZSzfYvdW4XZIiY5j0KxuPiAYCtP/uu9JzT/D3Gp31MtPZ3+nuRpc3h42HkdRt1rN0/1NHbz99QoT+ur/hui/h/hLUb0199631MrBF3a+C1mlvUjQdkLYIPv+GRzrtY1e4icvoyVAEYb3CuLIy8hondInuXhhYi+yszvgyWS7phtKS2SVgfag7iR9xjIZzA2W+zKOInWBbuo3njpDTJrS7qRXk5Ea5bwOQ/KQkYi2mRme8ng+d1V19ztuao3ix3vF//05vwVZlbXJrMgcisz38jMJzPzRpPe/TaNiGex4+JLp9t6F1e1BzAk0mJpNbjV8QPu3ryL8NC6YBfVGy+9QVok15h1I3uJ6AAA7zFQ/u9lEL4uZszjegD3yloYALcz8+NEJB6FtzGzGIsvAviKGUw/aowDzHV3moF5+czrfDO2QiXpTx1B2Oe1SFpcQ7KUFolnSLoxBVjrgl1U7/ILtetxqu8e/zTglsZKmFncqdxTde4m32v557mszr0yK+vmBmnL2IdsVonTE0e39XotkiBdW0FaI17XltCNri2tC3ZRvcss1K4PCbWbaJL+1NEqhVLFWUeSIuAE4xPLSosk565PmSmUEPbPWOuCXVTvMm2R+GK3yyefVrWYMBE0moERRbql141c6LpGyaRbH4artLAQsV7XVtiGROuCXVRvvPQGWUcin/wZX+z20wH8WAbhmfl/IAHIYp44rR3oht6rP3otnpvLA+veivGDLzoOFoVHd+xo2qSVxYetrmw/vmsr/CEzrQt2Ub3x0htk1tbfAPiguYeY+TmZ1g/gD5EQZO1AsxWeSdcrzhPPeKtbJU4+dZPjUFG2QrH5n72sYHdXsbdGX/5Y11bYi5q0LthF9cZLbxBDIlNyfw7gf/rObQdwJhKCrBKXLS50S++kGfwezAetqJVFVyitkEml0JNNOd1opXS4fdNaF+yieuOlN4ghGRZ/WTKW6jvXW8dlyrLE87cTF7qld3reNSQDPfZDj3rjJKV0uH3UWhfsonrjpTdoPBJZRf4KI0TWhbzLeN5NBEmvLK0yNe+OdQwGNiSiNZjegZz7GUU1JA1RvXahhOsN8kuXdRz/bFzBi4K/N3tx5JgIxEtmnOiW3qnFrq1ghoS49W6t6hZJMROuIdG6YBfVGy+9Qab/3i3BqQD8iQloJYPtn2HmHyIhxMWzZ7f1el1bgz3BxkgqqeDhP70AV2F3bWldsIvqjZfehoaEiD5d4/TTZhN+j4jexsx/gQQgHlTjtIq1G3rLlMFCqYJ0ipyB8CCkyt7033zkWyRaF+yieuOlt1mL5M98LlCkG6veLMtEGJK4VJJu6i1m+ha7tYL2wVYCGJDqtSRhj5FoXbCL6l1eLlL+0Wc8eowvrEdMi0Sm/b7GRDNMBEl3g9AKhUz/EgfapUViXKSkW+8S6zeD7aWQWyRaF+yiepeRixRm/oD3moi+DOCHzPxO37nvy+8eCSHpTx2tsJCTMDLAcH/wPtigThsFbZG0huq1S3/C9QZ5bPwDiZNedS5vAkwlgqQ/dbTCfNYNjTrSF9yQBHXaKPQZx42yILFUrgTy7dUOWhfsonqXrxv53QDeQkRPAdhpAkyJv63HkRCS/tTRCgs5Y0hCapGkUuQYk9lCGYenF3DSynBaJloX7KJ6l2+L5I8AfNcYENkECcx9LRJC0p86miEBLReySzckS2mReN1bYkgOToZnSLQu2EX1Ll838v9KRLJ+RMZI1pu46d9n5nEkhKQ/dTRDWgQydTeXSS12OdlukSxOAZ5acNzXh4XWBbuo3njpDdShzMwTzPw1Zv6vZt+yEZHFjNItJqF0ieiGGu9LTPY7zPtbjNHy3rvRnJf7LzLneohoKxFtJyIJx/vXCMGKe5Y8DoStd9ehaWe/qj+3JPcL0iLxWiVB8AJcHQrRkGhdsIvqjZde+1713D99+aXfatyr7AHwIBHdXRUc60Pilp6ZTyciidd+C4DLiehsE7/9HIncCuA+IpKpx/KP8xZmniYi6QuRFtMPmPmXtvIRl1gD3dL7jDEkw0sYaF9KYKvqRYnStRUWWhfsonrjpTcUQwLgPHlgZeZn5YCINgO4FIDfkMjxJ81rWZvyGXIfa+X8ZmaWf4nd0jKR9JhZZpC5/1xA1mxNw1IUi0Vnk8Au4o9fXCl7DszE/4y4DpBVn9L0E4vt3+/fv9/5AmZnZ5393Nwc8vm8k14q5TbuKpWKk66kL1HI5Npaafn30k9ZKBSQyWSccQbZ0um0k66kL5/TLA35rOo8TU5OOq9Xr15dN0/+fbt52vHCEef61T0MKi8gVSmDSdJgrB4ZdlobxCVUUlmkygWnK2vdiWtBlaJ5rwwqF1DqGXLPlwtOsCs3Ronrh2t4aCXSxVnHnYqshJdFjINpdwb6C4cnnHx2Mk/1vqexMQnFA4yMjLT9PbVS99rNk1wnx+vWrQul7rWbp6mpKSdPg4ODkfk9NcrTft9/g+2614k8HT161P09DQ83/Z7kc5rFLglnrqQ7pvKi73iPOVfzGmYumYH8VY3ulZYOEckCyUMAfsTMW2p9OBFdQ0Tbtm7deu6BAweWnAkp7Dj51BGtYQbb2T065+xH+pb2fMKpDCBbQAbybjU+PO2PcGCXONYF1WuPXML1htUisQIzy6Poq4loCMC3ieiVzLyjxnW3AZDtAQDnN2vaeQNR3owGbz8wMODsh4aGmsY99tLwrqlOq3rfaPDL09osjeo8yZOPVBZJu16eqvft5On5cbdraWjlSnA6i7JvvP3I0TEzmJ4/LpzuvgMHwamsM1MrVZx1Buvl2Dmfzr0k7O7Y+ATK2b7jfHL19Q86wToPzpQcLZ3MU73vyQsK5NWJdr6nWno6/T2Nj487WmuVj426126eRK//txaF31OjPA1U/TfYrHudyJPn/VdafPXyFGRGV1gtEpnhtcF3fLI5V/MaIqcvQ5ZIj7Zyrxn0/wkA8U5sDWmaes3TOBCm3sn5ojNGQZXSktyjOEg3mNMVFozhvizAFTw/OouFUjiOFrQu2EX1xktvWDl/UNaeENEmIsqZwfO7q66R46t8YX3vZ+kIdM9fYWZ1bTJrWGS21hrTEhHD02sG8iX4ltIFvIH2fHEKqZAD/Mhq9lxpBuUKY/eR+MycUZTlQihdWzLmYSIq3gtAOjxuZ2aZsvspANsk1gmALwL4ihlMP2qMDcx1d5qBeWmPXSddWkR0EoAvmxlhYhDvZObv2cyHdBXFiTD17jSGpKcoQ1tLZAmBrTx6ChMoZAex8+A0Xn6iuyjSJloX7KJ646U3tDESZr4HwD1V527yvZ433oVr3SvRGW+uOveo8T4cGmEOXMdN72KLpDC59ESWENjKI1+YAPpPxs6D7mwf22hdsIvqjZfe+HTqRQCZOidbXAhTr7cYMV9cuiGR8RXZlkKP+VyvZWQbrQt2Ub3x0hvrWVth02gGRtL17jpsurakZbBEZH3JUvE+9+mQWiRaF+yieuOlVw1JAGThUJwqTVh654tlvHh01gmvmysuvUUgixSF6im/rSAtIRnjf250FoVSxfH3ZROtC3ZRvfHSq4YkAEl3zFYPmSlVYeC0VX1ImRXoS2GpThuFFJdxykifMwVY9Jx14rH58TbQumAX1buMnTYmnaQ7Zms2PnL6CccW5y2FpTpt9DjDfP7OQ/a7t7Qu2EX12iWWThuXC0l/6qjHTp8hWboDmvZaJMIZawdx35OH8PRB+wPuWhfsonqXb2CrxJP04DXNpv6KIfnXNtJZamCr6hbJrpBaJILWBTuo3uUbajfxJP2pw3bXVrstkjPXuuMi2iJ5KarXLv0J16uGJABJf+qoRalcWXRL8rI17Y+RtNMikc93Zm4dmbE+c0vrgl1Ur120RdJFkv7UUYsXx+ZQKFewbmXPYoCppSKxRdqhN5fGhuE+vHB0Fs+Nziy2UGygdcEuqtcuOmuriyR9ZkbDbq0O/GmnJBhWub3Vtosztyx3b2ldsIvqjZdeNSQB8MdyiANh6F00JG12awmVdNbZ2p25FcYKd60LdlG98dKrhiQAEupStrgQhl5vzUa7A+2ChOaVbSls374dl7znffj+P33VOf7Sd37sHF/90WthA60LdlG98dKrhiQAEi9ZtrgQhl7/1N92kfjuboz34BQrwAUfuQlv+P33OMfptac7x0fG2vBG3ACtC3ZRvfHSG5+cRwA3zlZ8sK1X0n/m8EzHDAnQvt6RftdP1/hswQl0ZQutC3ZRvfHSqy2SgIUfpwpjW++ByXlML5ScP2/vD7zbZNMprOjJOL6/xJjYQuuCXVRvvPRqiyQA6fTSAy8tN70y9rB7vg846QIsHNnjjEcIj+7YgQu6/FwjRm1yvoSjM/YMidYFu6jeeOkNrUVCRBcT0VMSSpeIbqjxvsRkv8O8v4WINvreu9Gcl/svMuc2ENFPiOgJIpJwvH9qOw/FYtHZ4oJNvTL2cMr57njEptPd8QjZCsWlDZYLxCVna5dVA+56lFGLhkTrgl1Ub7z0htIiMXHVbwXwNgB7ADxIRHczs8Rh9/gQgDFmPp2IJF77LQAuJ6KzTfz2cwCsA3AfEZ1p4rf/BTM/TEQy5/MhIvpRVZodJZ9vb8Fc2NjW6z3xj/R1plurncBWfrxuNtFnKzqE1gW7qN546Q2rRXKeLDlg5meZWf59NgO4tOoaOf6yeX0XgAuJxOGFc34zMy8w825JR9Jj5v1iRORiZpY5qE8CWG8zE3Nzc84WF2zrXTQkHRofkcBWXnCrdljlMyS20LpgF9UbL71hjZHIH/yLvmNplbyu3jXMXCIiiZ26ypz/ZdW9xxkM0w32GgBbWm3SSbzibDaLcrks9ztbqVRCLpfD/Py840JAVn7693KP7EdHR9HX1+d8EWLZJb1UyrXJlUrFSVeulehjEomsVlr+vSwMkjndMh3PGwSTPkxJV9KXz2mWhnxWdZ4kHXkt79fLk38fJE+5bBZHZ9xV6GtyEmu96PjK6u/rRbow7SwslDUh7nRexuqRYed96bqSlocYDHHSuO7EtYv3cirtrGyXY+e8GJZKEUxSTd2AWcNDK5EuzqLiXFt03KrIPX29Pe7nZvJYk3UNyNhsARtzeRw9erTj35PcL+U7PT3d9vfUSt1b6vfk3SOavXoQRt1rN0/eQPD4+Hhkfk+N8rTg+29o53sKO09TU1NNvyf5HLlnWc/aIiKZd/pNAH/GzDUXDRDRNUS0bevWreceOLD0iBnyZXkhKpP+lFRK5TBXrCCbJgzkOlONHENTLnZ05tZCphPTkl+K1IM4PYHGUW/cfmuzCdYbVotkL4ANvuOTzbla1+whch5BV8p4aaN7iShrjMjXmPlb9T6cmW8DINsDAM6Xc/K00MyhmedCwNuvX7/+uONG8Y69NLxrqtOq3jdyouZpbZZGdZ7kKcN7v16eqvet5mnKjD4M9+VQyQ8ueu2dmZ1DOef+eZd9E0OOHB0zbuLzx8Vl33fgIDiVde6Vloggx875dO4l8dvHxidQzrr5LBsnj+V0FrNz88c+N5fFSP+EM3NrinoxMjLSUp5aKR/veu8Jze9mYqnfUy09nfqevHvkaXN4ePg41xg26167eaqnsZu/p0Z5Wl/13xD1/whvMaK//tb7nlohrBbJg+IGiYg2EVHODJ7fXXWNHF9lXr8bwP3stm/l/BVmVtcmSQfAVjN+8kUZG2HmT4eRiaQ7ZvMzn1t53HhEJ2g31K6fVf2ukZnPujo7jdYFu6heu8Qy1K4Z87gewL0yhRnA7cwsU3Y/BWAbM99tjMJXZJqvjJMaYwNz3Z0AnjAzta5j5jIRvRHA+wE8RkSPmI/6D8x8j618JN1VtJ+F7ApnP9xBQ9JuYCs/IwO54wxep9G6YBfVa5fYBrYyf/DH/ckz802+1/MALqtz780Abq46J1FdpVUSGkkPXuNnIecakk6uaG83sJUfT9eCJUOidcEuqtcuGtiqiyT9qcOP12U0EtUWiVnbspAddKI4ZtKd7cXVumAX1WsXDWzVRZLeD7qY7kIJxWw/0kRY2dOZRYSdHiORMLuDPRkwpfHcaOdn02hdsIvqtUssx0iWC41mYCRJ77PG4+9QXxapVOd6FytVM7TaRSYCTM2XsOvQVIe8Ex9D64JdVG+89GqLJACymEe2pOvdddgNZtVpj7+y+FC2TuHpe9pC2F2tC3ZRvfHSqy2SADRb3ZkUvV543U7O2BLcFeydw5sCvNPo7SRaF+yieuOlVw1JAMStQJywpdczJJ1y1ngM1w1Kp1skOy3Eb9e6YBfVGy+92rUVAM/fTtL1LhqSiASzqoejjytOi2RirrMuvrUu2EX1xkuvGpIAJL2yCJPzRTx7ZAbEZQz3dbo5L1o7p1dmbvXPH3FC7v7imSPoJFoX7KJ67aKGpIuIl0zZkqz3kRfGIY5reheOdnxtBnHF2TrJwJzrpPOnT3fWkGhdsIvqjZdeHSMJgOcEMcl6tz0/5uz75jv7xyyIa/hOMzi3Hwfxm/jZ04cd19udegrTumAX1RsvvdoiCYB4UJUtyXofNoZEuow6jcQXka2T9C6MOV1we8fnsPtI5xZgaV2wi+qNl15tkQQg6W4QxNXIr14wLZIFCy0S4xa+kxAYbzh9Nb736H6nVXLams4sTEx6XbCN6rWLukjpIkl3g/DUwSnMFMo4ZaQP2XLnn74k0qFsneZNZ65x9j/b2Tnjl/S6YBvVaxd1kdJFkv7U4XVrnXvqMJ7Zho7TSaeNft50hmtIfvHMKBZKZeQz7Y/FJL0u2Eb12kVbJF0k6U8d23yGxAaddNro58SVPThr7SDmimU8ZPLQLkmvC7ZRvfHSq4YkoBWP05NHp/U+ZNmQSIvEVqvkd89Y7ex/1qFpwEmvC7ZRvfHSq4YkAEl+6jg4OY89Y3MYzGdw5lo3RntcWiT+cZL/vfNwR9JLcl0IA9VrFx0j6SJxeuIQbLRGXn3KENIddB3vx0ZrZPv27bjkPe9DhdKgU/8tHt83ibdf+WGctCKH2z//2SWnm+S6EAaq1y6xHSMhoouJ6CmJyU5EN9R4P09Ed5j3txDRRt97N5rzcv9FvvO3E9EhItoRRh6S/NSx7Tm73Vq2WiTFCnDBR27ChR/+K5yy2g0PfMrb/x2OjE22lW6S60IYqF67xHKMhIhkmsytAN4O4GwAVxKR7P18CMAYM58O4O8A3GLuleuuAHAOgIsBfNakJ3zJnAuFvr4+Z4sLndT70Av2DYkEtup0cCs/p6xyy+L5o+1HTExyXQgD1RsvvWF1bZ0nTmOZ+Vk5IKLNAC4F8ITvGjn+pHl9F4DPkOvPQs5vZmZ5VN0tLROT3i+Y+Wf+lksrFItFZ5OgLuKTX9wpew7MxPeMuA6QFZ/S9BOL7d/v37/fKfzZ2VlnPzc3h3w+76SXSrk2uVKpOOlK+hKFTK6tlZZ/39PTg0KhgEwm47jxkC2dTjvpSvryOc3SkM+qztPk5KTzevXq1XXz5N/Xy9PRmQU8vncCaQJevqYHo6OjyGWzSBemne4oaUV4+/6+Xvd8OotUpQwmSYOxemTYeZ+4hEoqi1S54Nyz7sS1IAlo5bxXBpULKPUMuefLBSfQlRunxPXBNTy0EunirONORVbByyJGWXvS19tTU89Afx/SxRlwKoONK1L43wBeGJ3BqwfcPC/1exobcw3ryMhI299TK3Wvle+pUd2T6+R43bp1odS9dvM0NeW6/h8cHIzM76lRnvb7/hva+Z7CytPRo0fd39PwcNPvST6nWfySsLq21gN40Xe8x5yreQ0zizexCYlN1OK9DSGia4ho29atW889cMB14rcUpLDj5FNHtHYigM19vx5FqcL47VNXYiBv79lD/uwhmyVW9WUwkEtjtljBTMbt5kpSXVC99sglXG8iBtuZ+TYAsj0A4Hw516hZ5w1EyVOAfz8w4LrXGBoaahr32EvDu6Y6rep9o8EvT2uzNKrzJE8+Uln8U/2apVGdp6s/ei229Pw20HsC9my9F5ff/znn/KM7duANH3DLo5zLLu5nZudQzpnzvnV/R46OmcF0d0C9bLqw9h04CE5lnXtTxVmU03nn2Dmfzi1e5zE2PoFy1s2nXOvus5idmz/2uT490zOzKGdN2abzOGVVP57YP4mDPHRcuQT9nrzAQF6daOd78rPU76lWGv48jY+PO1rldRh1r908iV7/by0Kv6dGeRqo+m9Y6vcUVp48z7/S4quXJ28fJUOyF8AG3/HJ5lyta/YQOX0ZKwGMtnhvKHhN07jQCb37JkuYGT7Bman1zsveu7gqfNu1f4CO43SD2eXUVX2OIZnuO7GtdJJYF8JE9cZLb1i5fxDAGUS0iYhyZvD87qpr5Pgq8/rdAO5n6Qh0z19hZnVtknQAbA1Jd+KZGDjF2W9a1d8R1yLdZsOI+0Q207MGs4X4xI9QlCgTiiExYx7XA7gXwJMA7mTmx4noU0R0ibnsi9KNbQbTPwbAmSIs18n1ZmD+hwCuY2anX4GIviGD7gDOIiJpycjML2tIV5FscaETescHTnX2Z51oZxHicUhQqw4HtqqmN5vG2hV5MKWx5Vl3wHEpJLEuhInqjZfe0MZImPkeAPdUnbvJ91rcyV5W596bAdxc4/yVCJFODFzHSe8zh6cxlx9BLp3CRjN11ioWAlvV4tSRfhycXMBPnz6MC15+wpLSSFpdCBvVGy+98erY6zIydU62pOi9+5F9zv5lJ/R3PKxuLahScjbbeOtJftaGu5Sk1YWwUb3x0puIWVudotEMjOWmt1JhfHe7a0jEc24YyPqSMDhxRQ/S5QU8exj4/3Ydwb853XXoGIQk1YVuoHrjpVdbJAGQhUOyJUHvd7bvxbNHZpAtzWLDcDgrdmWRomy2kRloqyd+7by+5d6nnMVdQUlSXegGqjdeerVFEoCkOGaT2Uy3/OAp5/Xao48ilXoVwsCWC/larJ54GuVTfhvbXxzHvzxxEBedE2w6cFLqQrdQvXaJrdPG5UBSHLN9/qfP4sDkPH5j/UoMT+9GWNh0I19Nmku4/gJx6wb87b1PoVwJ1ipJSl3oFqrXLrF02rhcSELwmn3jc/j8z55xXt/0f5wNOw7jww9sVYsrX3cK1g/1Yuehafzzr4KtcU1CXegmqjdeerVrKwCeBQ/iOiBuem/54a8xX6zg93/zJPz2xhGEidca8Vyc2ETilFz23qtAA5uAE16PG77+c/zDLd9HChWsHl7RNFZJEupCN1G98dKrhiQAcXriWIpeCV71nUf2IZdJ4YaLX46wCbM14sUpqTDja1tewNGZAay++Hq8asMQfvK/PoWk14Vuo3rjpVcNSQCW81PHB8U5Y+/rgJ7VGDr8GK77d19bdM54AZZfi2TxM4nwO6etwvcf24+tzx3F2eta8wq8nOtCFFC9dtEWSRdZzk8du4ojmB1ejb5cGn/wrkuQy7zLnnPGOkhskW7wsjX9jtsUWe2+dXdrblOWc12IAqrXLjprq4ss15kZMt33wIg7xfcNL1vtdG11AwlQJVvYSMCi3z19jTOxYNvzYzgq4yYJrQtRQfXaRWdtdRF/LIflpFem+xYzfThhMI9XnBTOKvZaSFRF2brB+uFenH/mGuf1njXn4WdPH05kXYgKqjdeetWQBEBCXcq2nPT+fNcRfO6n7nTfN52xxnk67xYSmle2biED7U5Mekrhj776EB7fJ0E6k1MXooTqjZdeNSQBkHjJsi0Xvd96eA+uun0rFkoVjEzucp7Ku4nEd3djvHePN7xsFYamn8NMoYwP/sOD2Ds+l4i6EDVUb7z0qiEJgPhkWopfpqjplUWHn/7R0/jYndudWOwf+d1NWH9EYo91G9Ha3fKVFtnJh7bg9aeN4NDUAt73hS3YvFWmBxeWZV2IKqo3XnrjY0IjQJwqir+yvDA6i1/uHsWnv/Z9HE0No5A1ccaZsW70YWz58jfw2I4deEu3BUeEx7b/Cq9M3YaedW/F7iPADd96DDd8czuGS6P4+OVvcfxypWNYF+KE6o2XXjUkAUin07GoIOK1V6L//fzpg9j2wgQOTpmZUPkNzk4CVa0b6sFvnjyETavPDH2ab9QbyLJY8a0fuhFvKlWw89AUdh6cxotjsxjLrsGN33oMn/jnHTjv1CFc9Io1uOTcXoz0S/ToaBOHuutH9cZLb2iGhIguBvD3kgcAX2Dm/1L1viwi+EcA5wIYBXA5Mz9n3rsRgITRlZHYP2Hme1tJs9MUi0VEzWhI19Szh2ewZfeoYzy27D6KI9PHT6Ed6svivI0jeOxnP8Cb33EpVg/knYV4UYOciMxCd9aTVCPToM9Zt9LZ5otlfP+b38DL3vBOZ4LCL3aPOdvf/HCns6DxHb9xEl69YchZhyNbr7PPOC7ro0DU6m4zVG+89IZiSIhI/uhvBfA2mV0J4EEiupuZJQ67hxiKMWY+nYiuELdPYkyI6GwAcnwOgHUA7iMi9zG6eZodYWymgH/ddQQzc/OOl9hUZsr5Ay+VKyiV+dhr2VfMvuw7512z+F7l+HOLr/3v+e+t9Tlc12NtrjKP3tlDGCqNYnDhCGjmCA7sAPbv2IETLr8cUSWswFZLoSebxov/+m2MTD2LM1M5zK08FUd7T8ZE/gSnbshWC2n99R5nXNJO3PjeXAZ92WPnexdfZxbPZaqMULXtpyqXmo2eDYpmhk4u704eqL40aNrU8HNbv9d9/6XCveh9+f0vHZtqRiudNq317LTwWeaShYLRm5u3ooUDaGnEm89ag8GeLPL5zj6sURh9e0T0OwA+ycwX+VoYUin+s++ae801vyAiMXAHAMjE/hv813rXmdsaplmDPZVKZb3kWQLfp1Kp4yqmvJZz8p40/crlsrOfnCvg1wcjutiIGQRGulJAlktIVYpYmJvGiaecDnDFeY8lFjoz9j77NNafdqYzvVXe8+8PPr8La09173F++aZY9j+3EydtPMP99UtZmXvqpXXs/LE0jktHTtb7XJMXTmWOP+/769n33E6sC6Jn99NYv6mGnueNHl8azdLat3sn1klazg/HnaZcRhoHD+wH5QdQkfrkCKPFfajukxWlCeecNOC0lL0Wiczcqve/5+2FVCol7rFP7rYheTeAi5n5w+b4/QBex8zX+67ZYa7ZY45lccPrjNH4JTN/1Zz/IoAfmNsapulL+xoA1zzxxBOv2LBhQ2FgYGD7UvPywgsvnHTKKafsR0xQvfaIk1ZB9drlheWrVwL3yArd1yR6sJ2ZbwMgW9uceuqp25j5zYgJqtcecdIqqF67nJpgvWFNk5FmkTtlyEWaSHvrXWO6tlaaQfd697aSpqIoimKZsAyJrHY7g4g2EVHODJ7fXXWNHF9lXktX2P3s9rvJ+StkVpfcL+kA2NpimoqiKIplQunaYuYSEcnYhQyUy+jN7cz8OBFJBCFpXokBkLGPrxDRLgBHjWGAue5OADIbS+aHXsfsjnTWSjOE7HSkiyxEVK894qRVUL12uQ0J1RvKYLuiKIqyfInGUmJFURQltqghURRFUdpCDUkTiOgviIiJaLU5Fv67jOUQ0aNE9Fu+a68iop1muypknf8PEf3aaPo2EQ353rvR6H2KiC7ynb/YnJP3nIWf3SJKWjyIaAMR/YSIniAiGav7U3N+hIh+ZL5n2Q83qxshak4T0a+I6HvmWCajbDGa7jATUxyXROZ4l3l/Yxe0DhHRXabePikLlyNetn9u6sEOIvoGEfVEqXyJ6HYiOmTW5HnnApfnkv7HPA+xur10M9OLZTD/eQCrzbl3mAWRsmb59QC2mPMjAJ41+2HzejhErb8nkyfMa3Evc4t5LS5mZAGm+ESQWW/PmMkJafP6NPGcYa45u0vlHBktVbpOAvBb5rWEjnzalOd/FY8L5vwNvrKuWTdC1vwxAF8H8D1zLBNVrjCvPwfgj8zra+XYvJaJLXd0QeuXAXzYvJbvfSiqZStBNAHsBtDrK9cPRKl8AbxJ6iuAHb5zgcpzqf9joVacuG0A7pLAeQCe8xmSzwO40nfNU+YP50p5z3f+uOtC1v1/AviaeS2uY270vSeG8XfMdq/v/HHXhaw3Mlqa6PyO8e3mfOfmnHz3TzWqGyHqk7VUPwaciADfM38SR3wPGIvl7NUD8zpjrqMQta40f8zHfWaEy1YMyYvmDzZjyveiqJUvgI1VhiRQeS71f0y7tupARJfKAkdmrnan4lUojz3mXL3z3eBqnxuZOOiNkpaamK4JcRGxBcBaZvZcS4hPuLURycd/A/Bx8X9pjlcBGJfp9zX0LGo170+Y68Nik3G78Q+mK+4LRNQf1bJlZlns/LfiWURctZnyeijC5esRtDyXVM6JcJFSDyK6D8CJNd76KwD/wXQXxUIvM3/HXCPapeJ+LXyFyxMikkhg3wTwZ8w86fdWK4tmZQwtAhrfCeAQMz9ERHFw05Ex3TB/zMwyhiDhII4bG4tK2QpmbOFSYwDHAfyT+PpDjGCL5ZloQ8LMb611noh+w1SY7eZPQ7oMHiai85q4bHlz1fkHwtDr0y19tvKHcqHxCoAmrmSi4mImsu5uiChrjIh0FX7LnD5IRNJdsF/28gcegXy8AcAlRCR93z0AVphYPTKgLV0vpSo9ntY9VS6JwkKedPeIETHHdxlDEsWyFeS3t5uZD5t68S1T5kMRLV+PoOW5pP8x7dqqATM/xswnMPNG2Uyll0FXaRrKKvz/y8x6kEGqCdN0lD7R35MnF/P0Iq0ZJwBXGJggX9KtcQkzz/reioOLmShpWUS+YONx4Ulm/nQddz6yd1qDDeqGdZhZxpRONvX1CuNi6A8B/MS4HKqltZZLolAwv6UXiegsc+pC470icmVrkC6t1xNRn6kXnt6fRLF8fQQtz6X9j4U1WBXnrWqwnUxALZll9BiA1/quk7GJXWb7YMgad5m+zUfM9jnfe39l9MqA2tt9599hZiI9Y7rHulnGkdHi0/RGE5voUV+5vsP0dcug9k4JtCYDsM3qRsi63+ybtXWaeXDYZbpj8uZ8jzneZd4/rQs6Xy0ukkz5/rOZJRTZsgXw1wB+LYPZ4s7JzIQ8LSrlC+AbZvymaB5+P7SU8lzK/5i6SFEURVHaQru2FEVRlLZQQ6IoiqK0hRoSRVEUpS3UkCiKoihtoYZEURRFaQs1JIqiKEpbqCFRlC5BRC92wx26onQaXUeiKF3ArBoWj7ADzDzXbT2K0g7aIlGU7iD+3J5TI6IsB9SQKEp3+E1xQWGi1B0mon1EJLFOFCV2qCFRlO61SF4L4PsmRoQEEPq/uy1KUZaCGhJF6V6L5GZmloh6FeNJVlFiiRoSRQkZ44b8lQC+6zstx2pMlFiihkRRwkfiwsC46fZ4jXFTL4ZmKxH9DyJ6nIj+uDsSFaV11JAoSne6tSR4GlcZEonIudrEkJBQz2+S+DFd1KkoLaGGRFG6M9C+3TswxuNEEzBJjMxmZp4yg/ASVE1RIk2iY7YrSjdg5r+pOpaFiVljVMSQPGzeepXf4ChKVNEWiaJEr7XyiM+QeK8VJbKoixRFURSlLbRFoiiKorSFGhJFURSlLdSQKIqiKG2hhkRRFEVpCzUkiqIoSluoIVEURVHaQg2JoiiK0hZqSBRFURS0w/8PxaMRCZTKKbQAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.histplot(df.hn, kde=True, bins=50, stat='density')\n",
+ "plt.xlabel('$h_n$')\n",
+ "plt.ylabel('density')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c8904300-628a-4e09-95ff-aefbe11f233c",
+ "metadata": {},
+ "source": [
+ "На графике видны полутяжёлые хвосты (есть выбросы). \n",
+ "Сильный подъём, острый пик в районе нулей. Если распределение непрерывное, нужно проверить, что ноль встречается не более одного раза"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "cf5a4145-af22-4d65-96eb-81fb5db067f5",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "np.int64(264)"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "(df['hn'] == 0.0).sum()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "8c10c1d1-74d8-4756-840f-a5744b35575c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'density')"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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DzMzilAfwbSL6inG2nwlgqzjbiWgfEb2WmXcCeE+Jz6XlSF9klAiT3k9+5hocG5vE/hVvAfrPxD9+9x488rcv4qkdO3BhhYWtXCR8fFc6iblcHovJcKz3EKayrQfVa5dMzPUGYkjE50FEnwVwPwDpp7idmZ8hIgnluo2ZxVjcBuAO40wfNcYG5rx7jJGQx9VrzYgt4XMA7jQjtsSR/wmb+RCHVq0mb5gIk14xIhLN9/tPHsDoyCze/O4P4DUre7HtmssrLmzlpa8z5RiSbKr9eQlb2daD6rXLXMz1BuYjYeb7ANxXcuwGz2uZXPDhCtfeBOCmMsefBPAWBETcwyC0AndSYV/m1VWvXNBGF5mUeGRqAYupcLRIwli21VC9dumJud4oO9sDJ+5hEFrB9HzRkPR2vrrqlQva6OKen0uG44kvjGVbDdVrl5mY61VD4oO4P3U0S3axgIXFgrMyovg8/LZInDRC0rUVtrKtheq1S0/M9aoh8UHcnzqaReJluUbBHT5bb4vE7QrLhcSQhK1sa6F67TITc71qSHwQ96eOZpmaz1X0j9RqkfSYa8IyaitsZVsL1WuXnpjrVUPig7g/dbSsRVLGP1K3j0RbJA2heu0yE3O9akh8EPenjmaZch3tDbRI3Gtyqa7jMa7aSdjKthaq1y49MderhsQHcX/qaFWLROaE+G2RpJMJZFIJSBISPXh5SeTguJdtLVSvXWZirlcNiQ+qxc0JI2HTW23or1AoMxHRi1y3MJ111jNptyEJW9nWQvXapSvmegNb2GopICGYZYsKYdN7YjJi+VAoEjJetlrdW8NmYax2ErayrYXqtctCzPVqi8QHtWLyh42w6XVbJJW6ttiJ1VkZd7TXocn2G5KwlW0tVK9d0jHXq4bEB7LATZQIk948pZHNF5BKkOPrKE+hahruEODDIWiRhKls60H12iUfc71qSHzQ7pFCUdbrDtsVP0ejulzfirvmezsJU9nWg+q1C8VcrxoSH8S9srTCkFSajFikul732uHJYuTSdhKmsq0H1WsXirleNSQ+kLWNo0SY9LoxsiqN2BKIq3dtuc72MLRIwlS29aB67bIYc71qSHzQ0VH/OuNhIEx6T7RIKjv5ColXB3KsNGqr3ZMSw1S29aB67dIRc706/NcH8/PzzhYVwqT3uCGp0iJJ5HPOVomOVMIZHjybzR8fStwuwlS29aB67TIfc73aIvFB3MMgNIO7jkil8ChCIVl9kqG0QNKLc1joSDutkv7O9g25DFPZ1oPqtUtPzPVqi8RnWAE3tEAUCJNe76itSiTyC85WjXR+NhR+kjCVbT2oXrvMxFxvYIaEiC4hop2yJjsRXVfm8wwR3W0+f5SINng+u94cl+sv9hx/mYieJqIniWhbEFY8Sk8eYdEr/oxsHV1bErSxWuBGQVokYZhLEpayrRfVa5eemOsNpGuLiMSLeguAiwDsB/AYEW1h5mc9p30KwBgzbyKizQC+DOAKIjobgLw/B8BaAA8Q0VnM7M6ouZCZjwWRj7gHZmuUibkcOJFChxN4sbJDvVrQRpf0YnhaJGEo23pRvXaZibneoHwk5wPYxcwvyRsiugvAZQC8hkTe32he3wvgZioOy5HjdzGz3GX2SMvEpPdII0JyuZyzSZwZCRMgMzzla2STIXEymkGcUGKtpbC9e7lG9iMjI+ju7sbc3BwymYyTXiJRbNwVCgUnXTlXAqPNzs6WTcu7lx8zm80ilUo5T++yJZNJJ11JX76nVhryXaV5knTktXxeKU/eva08vTg85aTTm0kimZtBIZFGIp91Wh9rV68CSYytxQVwIul0bcl753g+6zjXi6FTikODuxNFZ/y+kSnnd2hXnuR6Kd/p6emmf6d66l6zeRLNbj0Iou41myfRIYyPj4fm/1QtTwuee4PtutfKPE1NTdX8neR7aoVUCapra5389z3v95tjZc9hZhmSMwFgeY1rpbb9ExE9TkRXV/py+Uy6vrZu3Xre8PBww5mQH0t+9KggemVrN8OTxZZGX6b68F4xJlRl1JbQkS/m58hUewPkST0IQ9kuZb1R+6/Nxlhv1EdtvYOZDxDRKQB+QkTPM/PPS09i5lsByPYwgHfJMXlaqITbd+g2+9z9unXrTnpfLRSzm4Z7Tmlapftq/ZWu1lpplObJHSsun1fKU+neRp7Gc6POvrerA/l08VjehIw/OHwYnEg73VnSEhHkvXM82XH8PJfC7ASwDDgyncPy5cvblif3Cc3bNdDo71ROT6vzJE+bQ0NDzusg6l6zeaqksZ3/p2p5Wldybwj7PUJaNt7j5fLkp9srqBbJAQDrPe9PNcfKnkPk9GUMABipdq0YEbM/AuB7psvLGnEfmdEowxNzNYf+ui0S109SiQ7jIxlucwTgsJRtvaheu8zEXG9QhuQxAGcS0UYi6jDO8y0l58j7q8zrDwF4kIsdpXJ8sxnVtVHSAbCViHqIqE9OltcA3gtgh81MiDWv9pQSNsKi99D4fM0RW+7CVrUWt0oWFhyn/fhsDvO59kVcDUvZ1ovqtUt3zPUG0rUlPg8i+iyA++VeAOB2Zn6GiL4IYBszi7G4DcAdxpk+aowNzHn3GMe8+E6ulRFbRLRKWiEmTIbk49vM/GOb+XD7mKOyGlpY9B6st0ViurZKu7O8yK99Sn8G+8fmnEmJG1b0xLps60X12mUu5noD85Ew830A7is5doPntTy2frjCtTcBuKnkmIwAeyMCREZHRImw6HWH6vbVmIkuQ4TrYc1Ap2NIDrXRkISlbOtF9dolE3O9dRsSIpKn/TulFcDM04ghMtQuSoRBr/ROuoakVosEBdNVVX1wF1YPyFPUWFvDyYehbP2geu2Si7lePz4S8UH8nUwqlnkgRHQpEUVrfckmkXHg7ljwKBAGvaMzWWQXC0jms07QxapQorjV0SJp96TEMJStH1SvXRIx1+snpSsB3C3rxgP4iBklNUxEtxLRBS1TpCwp3Ju9OyO9Fazq7wxFmBRFUXwaEma+m5l/B8BKAO+RUCUAhkxok58S0Q4iOhdLGJmRKltUCIPeg+PF7qd0vo6hhrKwVY3FrcLSIglD2fpB9dqlEHO9vpztZqSUtEw+BsA1GnKnkEmAF8qoKwCvxxKlVpiAsBEGvb5aJDUWtnJZbQxJO+eShKFs/aB67ZKOud6ET2e7hCr5TwDeDODXAH5fHhCZ+X0myOK/wBJG4tTIFhXCoNcd+utG7a0GFRadrRar+9vfIglD2fpB9dplIeZ6Uz6d7WNm5NY3mPmpks9/ZGJfLVmiMkY8THplrke9LRIJ5lgPK/sySBBwbHoBuXwB6WQilmXrB9Vrl66Y6/VjSD4K4LvMnC33ITM/CkC2JYsb5CwqlSYMet1Z7W5ok2pIROBaExIFMRxiTA5PLjjBG9cNdsWybP2geu0yG3O9fgzJ3wN4C4DPuweI6E/FwDBzoBMD20WUFq4Ji94TXVu1ne21FrUqnUsihkTieLXDkIShbP2geu3SE3O9fgyJRKdw4pF4OHMpO9dLifviNX4pFBiHjUM8bcK/V6Oeha1cVvdnsN3pOluIZdn6RfXaZSbmemsaEiJyFqMyfJKIPmheJ0wk3nHEhLg/dfil6MNgDHWnkTi+oGVrWiRrnNnt4nCfi2XZ+kX12qUn5nrraZG4a6eLI73fbF6+gZgQ96cOvxw0jnb3pt/SFok7BLhNI7faXbZ+Ub12mYm53noMyYWmS+tBcbbLErjmuDxi7mPmvYgJcX/qaHQdkrWDnZAFY1rbIjFDgNs0l6TdZesX1WuXnpjrrWlImPlnsieiC43h8HZ1xYq4P3X45eD4iRbJkRa3SNodJqXdZesX1WuXmZjrrWpIiOh2WROdme9yF50y6394kfWnJEzKkifuTx1+cf0XawY7Hcd4LQrJBlokbTIk7S5bv6heu/TEXG+tFsnHjTP9LvNa/CSllkSOxcKQxP2po1Efydp6fSR50yJJVm6RbN++HZd+5GMoSJTgjVfgwNgMPvCRj2HlUD9u//pXEZey9YvqtctMzPXWMiRfAPCIef3FpT5zvRZRqSRh0XvIBGx0HeO1KFQxIC65AnDhp4vroe36+W7M54C3/t6fYeu3/l/EqWz9onrt0hlzvVUNCTN/wfP6RsScbDYbqWZsu/UO+22RmIWt8vXFbnQWyprPZTG9UDs+11IrW7+oXrtkY67XT9DGDxLR/01FPkJELxLRViKqa1Y7EV1CRDtlTXYiuq7M5xkiutt8/igRbfB8dr05LtdfXHJdkoieIKIfwDKpVMrZokI79eZlMuJUsatq1UB9vg+mhLPVi7viYjsMidYFu6jeaOn1E+3uLwBcal7fAuA1JmSKRAOuitzszTW/BeBsCUVPRLL3In6WMWbeBOD/N9GEYc7bDOAcAJcA+KpJz+UPATyHgJaNlS0qtFPvkal5x5is6M0gk6qzieH0nNavt7fTGJL54A2J1gW7qN5o6fVjSMRwPGXCoiwH8CEA9wE4r45rz5cubRk6bII+ivP+spJz5P03zet7ZfEsafqY43cx8wIz75F0THpiZGRm/W8HNSky7pWlkaG/MofEFu1skWhdsIvqjZbelM9zUya2lih4CMBFEti1jmvXmbVMXPYDeGulc5h5kYgmjMGS478quVaOCf8ZgASO7POz6L1sEotfFnfJ5/POkGbZFhcX0dHRgfn5eafvUEY2ePeTk5Po7u7GyMiIs5+bm0Mmk3HSc9c/llXHJF1JXyJrSpTNcml59+L4kj5LaWq6P3AymXTSlfTle2qlId9VmifJh7yWdCvlybtvZZ5ePjzpXLuiO+WUW29PtzNPhHjRCRcvkX5lAuLa1atAhZyZQ0LOcU6kisfzWSQKOTBJtSuu5jY0OIBkbhaFRBL9yaJPZWZuHj3ptPO72MyT93dyo6e24neqp+41mydB3ss1QdS9ZvMk15h7QWj+T9XyNOm5N9iue63Ik1t/RVOt30m+p9ZCWH5aJM8DkKV2/860LmRtktPk4RNtgIjeLz0ozPx4HedeTUTbtm7det7w8HDD3ykFLltUcI1mOxieXDgeXLFexMhAtjrpyxS7zKYXasfxajVRqwuq1y6LMdfrp0VyPYC/Ndf8CRFJS0Qc4j+s49oDANZ73p9qjpU7Zz+R8wg6AGCkyrXir7mUiGR1Ruk/6Seiv2dmWQb4JJj5VgCyPQzgXXJMnhYq4Y5kcIfIuftVq2Sl4RPXVovl76bhnlOaVum+2ugJ9/tqpVGaJ9eZJscr5al036o8jcwddl6fvrIf/f39mJ6ZNSFQMietOXJw+DA4kXZms0sLBKku571zPNnxqrVJxsYnkE8X89ndKz2fo5jKMoZyOSxfvtxqnrzny1NaaZk3+juV09Pq30meQPv6+pzXQdS9ZvMkT8jedMPwf6qWp1Ul9wabda8VeXJbR948VvqdWmpImPkn5ibuRRzg9fCY+FaIaKMxAptN68bLFjN7/hHjf3lQpswTkRz/NhF9RbrcjY9mKzM/YoybtDguAPDvyxmRViLNx1oVLEy0U++JWe31rxVS78JWLj3HWySLgU9w0rpgF9UbLb2+xn8RkTjcZbhvr/c4M3+r2nXG5/FZAPfLwxyA25n5GSKSSY7bmFmMxW0A7pBhvs5jZtHYwJx3D4BnpUUG4FrmOmKSWyAqY8TDoPfErPb6n2r8BG0UZDRYRzKBbL6AfJ3L9LYKrQt2Ub1LdGErIvr3AP6qTIgUoaohEZhZRnjdV3LsBs9rufN8uMK1NwG4qUra0mUlm1XiHgahkVntvlokPoI2ekdujc5mkUsG+ySodcEuqnfphZF3+RPjnH/FxN+Kzli3FhH3p456yS4WcHR6ATJ4+5S+jLUWiTuXxDEkqWANidYFu6jepbvUrvAPzCz+i1gS96cOP5MRZYj6qv4M0smE1RaJ6yfJpYJdt13rgl1U79JtkcicjY8S0UpmPooYEvenjnr45Geuwd7ZDmDdRZg6csCJ1Cs8tWOHs0Jaq1skfZmi0dEWSXVUr116Yq7XjyG52swbOUBEMhnDHYQsg6vECb/kiftTRz0cG5vEmR/4Y+x+ZhhrT9uAC3+76Abbds3l1nwkgvpIqqN67TITc71+DMnpnmu8w4Bj4yuJ+1NHvUwtFCdB9pmbfL000iLp6XS7trRFUg3Va5eemOv180+v1TOx5In7U0e9uEEU3aCK9dJIi8Tt2lpUH0lVVK9dZmKu18+ERHftdvnmM5hZ5nXEimqzVMNIu/ROGUPiu0VS50TEMHRtaV2wi+qNll4/65F0EZFMGpwW36msF0JEu4noc4gJEvBMtqjQLr1uNF7fLRIJ3ljwFxusM51AMkHObPiZAKMAa12wi+qNll4/QRu/BOAT5hpi5pcl9JGM5EJMkAiYtaJghol26T3RIvH33RLltxjpt34kIqvbKhmeLM6mDwKtC3ZRvdHS68eQyPyR/wXgv3mObQdwFmKChJOWLSq0Q28BCczlJOw20G3mePi52g0X7wfXkBw2YVmCQOuCXVRvtPT6MSRDZlGpYmS9Il0VQqYsSdw1CaJCO/S6o6d6OlJIBPTdriE5FKAh0bpgF9UbLb0pn+uRSMj2J4wQCcL4QQBPIiZEqaK0S69rSPp8+keKNKbX9cUE2bWldcEuqjdaev382yVo4v80qyKKir8xewnkGAuitHBNu/QupIuLVQ52+e9/JfbfrSUc95EE2CLRumAX1RstvX6G/24hoksA/IFZ0Eqc7Tcz848RE9zFdqJCO/QupPud/WCP/++W5XOj0rWldcEuqjdaeqsaErOYVCkvmE14LxFdxMyfRwxw15GOyizWduh1WyRD3f5bJIl8cehvPulvhvuJUVvF0PVBoHXBLqo3WnprtUj+yBMChaqEQ4mFIYlKJWmn3oWOYotkqLuBFolPA9LOri2tC3ZRvUsrRMq3PMaj0yw89aRpkciw33MB3IuYEPcwCPWsQ5JN9TTsI0nkTYiUpL9rnWHGXMCx6ayjoSPlZzBiY2hdsIvqXUIhUpj54+5rIvomgB8z8/s9x34o/3vEhLg/ddTildEZgBLo70wh5WMdkmaCNgoyzDidn0Mu1YPDk/NYv8x+uBStC3ZRvdHS6+ffLnHAS//p8v5SxASx4q4ljwJB6919tPhdQw042t2gjW7gRr+kF+cCHQKsdcEuqjdaev0Ykj0A3k1EO4noB7I3EYFfqudiGfFlrt1FRNeV+TxDRHebzx+VWF6ez643x+X6i82xTiLaSkTbiegZIvoCArDiUXryCFrvS64hacA/4rZIGm2VpBdnAx25pXXBLqo3Wnr9zCP5fQD/COBMswkTAK6pdSERybjOW8wclP0AHiOiLSURhD8lsbuYeRMRbQbwZQBXENHZAOT9OQDWAniAiMQ/I4+u72bmaSKSTvVfENGPmPlXsETc+0Fr8dLR6YZHbDUaRt5FuraCDJOidcEuqnfphpH/hWkliI9knayUCOCHzDxex+XnS3gVZnZaL0R0F4DLAHgNiby/0bwWB/7NVJx+KcfvYma5y+yRlomkx8yPmEjEQtpsNRfZyuVyziaRLyVomcSbccMFyCQdGV8tQ+PEWkthe/dyjexHRkbQ3d2Nubk5ZDIZJ71Eoti4KxQKTrpyroRqnp2dLZuWdy8/ZjabRSqVknJ2tmQy6aQr6cv31EpDvqs0T5KOvJbPK+XJu282Ty8cKlaF5R15UH4BiUIeTJIGY8WyIcdQEC+ikEgjkc86rY+1q1eBJOrv4gI4kXQc7vLeOZ7POtGAi4Eci5MVhwYHkMzNOnNOZLiwjPSSazqd6gHsH512fp9W5anS7yTXS/lOT083/TvVU/ea/Z1Es1sPgqh7zeZJdAjj4+Oh+T9Vy9OC595gu+61Mk9TU1M1fyf5nloBHn3FsWBmaYHcCf+I4dnneS+tkrdWOoeZF4lIvmu5Of6rkmvXeVo6jwPYJC0eZn603JcTkSwTfPWjjz762jVr1mD5cknWP/JjSeFHZfKR6JUK09vbG8j3vTxWbA0MdTUSHqXYIhEj4jwS+KTDdG0NTwYTylv+/ILcLKKA6JX6EBXc8u3vLw4nDztzEbw3tGup3dDBzDJi7E1ENAjge0T0embeUea8WwHI9jCAd9W6Abh9h24hu/u1a9eetChMtcVh3DTcc0rTKt1X6690tdZKozRP7lOEaKiUp9J9o3kam8liYm7RaUF09faDSdYIOXHtsdEx4/8o+kBk/RDh4PBhcCLtdGdJC0SQ987xZMfx81zGxieQT3efNHFRhgtTttg4PTKdPf6g0Gyeyu3d8+XJsDTtRn+ncnpa/TvJjWNwcNB5HUTdazZP8pTtPRaG/1O1PK0tuTfYrHutyJO0Mkr1Vfqd6sH+gPsi0g223vP+VHOs7DlETl/GAICReq413WsPAZAQLtaQP2OUnuqC1PvSseKNPJObajggXCMLW5U624PykWhdsIvqjZbeoAzJY+KgJ6KNRNRhnOdbSs6R91d51j55kIsdpXJ8sxnVtdE4+mW01krTEnFWbzSOfIlQbA15SnKflKJAkHrdob+Z3GTDaXAi5WyNkDLDfw9PLSBfqOkqaxqtC3ZRvdHSG0jXlvF5SNj5+6VVBeB2ZpYhu18EsE0CQgKQZXzvMM70UWNsYM67xzjmJWTltdKlRURrAHzT+EnEIN7DzD+wmQ9xbEWJIPW6Q38z2anGEymYua0NxG5MoIAVvR3O7PZj0wtY1W939IzWBbuo3mjpDcxHwsz3Abiv5NgNntfzJgRLuWslhP1NJceeMiFaAsMddREVgtTrDv1tpkUis+KbQYyHGBKJuWXbkGhdsIvqjZbeaOVeCS0vHXO7tppokTTJmoHOwMPJK4oS8VFbQSPjv6NEUHoX8wXsHWneRyKBF5thtTEkwxP2nZ5aF+yieqOlVw2JD2pNyomr3v1jc8jl2WkRJJwR2Q3S4MJWLqtNd9ahAOJtaV2wi+qNll7t2vKBzAqVLSoEpdcd+nvGyuZi91Bh0dkaZfVAV2BDgLUu2EX1Rkuvtkh8UG1yUZz1uiO2zljRi+1NpCOhU6LiI9G6YBfVGy292iLxGbbBDd0QBYLS684habZFIvG3ZGvaRxJA15bWBbuo3mjp1RaJD6IUJjpIve7Q3zNWNhfTq9EQ8q/ykUzMO0HtGp1hXw9aF+yiepfWUruKh7iHiq419PeMFU22SJoIIy/0ZFLo60xhan4R47O5hhfYqgetC3ZRvUs0jLyiTx3lmJrP4ejUAjKpBNYNdrW1ReL6Sabmp51WiU1DonXBLqp36S61G3vivpxmNUf7xhU9SCSa60pqZqnd0pFbw5N255JoXbCL6o2WXm2R+CDuTx02h/62qkWyuj8TyMgtrQt2Ub12UR9JG4l7P2itob/N0qyPJMi5JFoX7KJ67aI+kjYS96eOqoakFS0Ss1BVI2zfvh2XfuRjGOl7DbDyfNzx/X/Cw9/4ElYM9eP2r38VrUbrgl1Ur13UR9JG4t4PWo7dLRr6K8ja67I1Qq4AXPjpG3Deb37Qed93+uud98fGmoj9VQWtC3ZRvXZRH0kbiUqzNSi9hQLj5ZFWtkiaj//Tm0kdH01mE60LdlG90dKrLRIfZLNZZ4sKtvUenJjDfE4WlMqgv7N5I5Ao5J2tGQa705CxY+NzOSxajMiqdcEuqjdaerVF4oNUKlrFZVPvJz9zDfbMdwNrLsTc0X2Of0J4ascOXNhgmtzkwlZCOplwjMnYbA6jM/b+2FoX7KJ6o6U3WrlvM8Ul5KODTb3iezjtko9jzwtHsfE1m3Dh+9/uHN92zeVNpNoavdJCEkNybMqeIdG6YBfVGy29gXVtEdElRLRT1mQnouvKfJ4horvN548S0QbPZ9eb43L9xebYeiJ6iIieJSJZ1/0Pgyj8KFUY23rHZos36qFuezPIGzUkgqzdbgutC3ZRvdHSG0iLhIhkxaJbAFwk6yABeIyItjDzs57TPiX3JmbeRESbAXwZwBVEdDYAeX8OgLUAHiCis2RhPgCfZ+ZfE1EfgMeJ6CclabaUZLK5hZeCxrZe15AM9qRD9Vyzoq9o2I5OL2AZ7KB1wS6qN1p6g+raOh/ALmZ+Sd4Q0V0ALgPgvenL+xvN63sB3EzF8K1y/C5mlsfLPdIykfSY+RGZwCwnM/MUET0HYF1Jmq8il8s5myzqIquE5fN5J0qsbIuLi+jo6MD8/LwzzlqGx3n3R48eRXd3t3Ot7Ofm5pDJZJz0EonE8SUsJV05R2L+S6jmcml59zKCQhxf0m/pPinIDy3pSvryPbXSkO8qzdPk5OTx15Xy5N37yVNHOo3xmeIT/4q0LEiVcyYU9nR3IZmddkZgieO86PdgrFg25HxOvOisOyLh4mUm+9rVq45fS5wH5bPgxGDxuISVL+TAJNW06DgfGhxAMjeLQiKJRD7nzD2RIcPdXZ3F701lsDpTdNgfm5rH6o4OjI6Otvx3Gh8fP6lONfM71VP3Gv2d3GskfXkv2oOoe83maXq6OKxc0gjL/6lano567g3N/E5B5WlsbMzRIunU+p3ke2qtqBhU15bc4Pd53u83x8qew8zS2pgAsLyea0032LkAHi335UR0NRFt27p163nDw8MNZ0IKW7aoIBXMlt48JTG1UICE1xrobM3TjRgYTjT/bNPbkXCCSM4vMnIJO8Myo1YXVK9dOmKuN/LOdiKSmXDfBfBHzFx29hkz3wpAtocBvEuOydNCrVmf7lhr716eJpYvX15zlTE3Dfeccml599Vmmrpaa6VRmqeRkRGnskja1fLk3debp2kUzx/oSoMzfcdDm8zMziHfUZycmPfYl2OjYyaWVtF/kU8WK/HB4cPgRNq5VloU8lo253iy4/h5LmPjE8ini/nMm5nw+WQas3Pzx7+XM2ms6J3AgfE5TFAPli1b1vLfyR062dvb2/TvVE5Pq34n9xqpC7J3t3J5Kke78iR6hcHBwYp5qrZvR54KnntDo79TUHlyl9nt6+urmqewGZIDANZ73p9qjpU7Zz+R05cxIPWp2rVElDZG5E5m/gfbmYh7GAQvC+n+ljvaWxG00WVlb8YxJPMdxRtRq9G6YBfVa5eohkh5DMCZRLSRiDqM83xLyTny/irz+kMAHuTisAI5vtmM6too6QDYavwntwF4jpm/EkQm4h4GwctCuvgk08o1P1oRRr7U4T6XGYINtC7YRfXaJZIhUsTnQUSfBXC/DBgAcDszy5DdL8rUA2beYozCHcaZPmqMDcx59xgnuvhOrmXmPBG9A8DvAniaiJ40X/VnzHyfrXzE/amjfIskHcoWiTsEWFskRVSvXXpirjcwH4m5wZ90k2fmGzyvJe73hytcexOAm0qO/UJ6txAgcQ8V7WWho6/lXVutCCPvsrynw6kc0nKaz+XRmW7tcEetC3ZRvXbRMPJtJO5PHS7S4xh2H0kqmXC0jc5m8eLhafzGqeJyax1aF+yieu0SVR/JkiDu/aAuR6YWnKG6nakEujqSofSReP0kzx1qfSh5rQt2Ub12iaSPZKkQ96eO0jVIWulob3WLxPWTvHB4Gs8Nt96QaF2wi+q1S2R9JEuBuPeDlq6KKFF2W0krfSReh7utFokQ97pgC9VrF/WRtJFqk4vipNc1JK0O1lgomXzYirkkwnOHphy/TnHEeGvQumAX1Rstveoj8YHMBnVnhMZZ70vHpq0YEomrJVur6MkkkcwvYGIuh+FJGRTYOrQu2EX1Rkuvtkh8UCtwWVz0nmiRtDb9YnDG1iEtkM7sOGa6VjndW2sGWvcUpnXBLqo3Wnq1ReIDiQIqW5z1Tszm8MroLKiQx2DL1yGRCL+tXR63Kzt2vHurlWhdsIvqjZZebZH4oJV97FHV++T+Yvj0ruwokhL6N+R0LhT1Pttih7vWBbuo3mjpVUPig7hXFuGJV4pP+N3zxeisraX1eqVrS3heDQmihOq1ixqSNiILwMRd75P7ijfm7oXWGxLi1nZrCZ25CafltOfYTEtDpWhdsIvqjZZe9ZH4IO6L18gQ2u3HDckxtBpZ9VC2VpLgAl6zsgcFBnYOt85PEve6YBvVGy29akh8IEtRyhZXvXtHZjE2m3Mm+qUXZ9FqZOlc2VrN69b0t9xPEve6YBvVGy29akh84F1pMI563W6tN60ftBJ2WdZfl63VnLu+GEr+l7tb1x0X97pgG9UbLb1qSHwQ98BsrqP93NPsrPGRyC84W6t551krnf0vXjyKvPRxtYC41wXbqF67aNDGNhKlJw4bet0WiTzhywplrabVQRtdNq7owalDXdg/NocdBybwRtNCaYa41wXbqF67aBj5NhLnpw4Z8SQ+Bhk12Oq1PWyFkfcOdXRbJT9/4WhL0oxzXQgC1WsXbZG0kTg/dYgRyeUZZ63qRV+nnXAQNlok27dvx6Uf+Rgmuk8FVv8b/Lctv8BPvv4FrBjqx+1f/2rD6ca5LgSB6rVLZFskRHQJEe2UNdmJ6Loyn2eI6G7z+aNEtMHz2fXmuFx/sef47UR0hIh2BJGHOD91PPGK2601BFvYaJHkCsCFn74Bv3XFVU5raq77FPzrT/w5jo01N4IrznUhCFSvXSLZIiEimRxwC4CLAOwH8BgRbWHmZz2nfQrAGDNvIqLNAL4M4AoiOhuAvD8HwFoADxDRWcwsgWL+DsDNAL4VRD7i/NRxfMSWJUe7TR+JkEklsWagEwfH57FvdK7p9OJcF4JA9dolqgtbnQ9gFzO/JG+I6C4Al0mPiecceX+jeX2vGAgqzuOX43cxszyq7pGWiUnvEWb+ubflUg+5XM7ZJISyRMCUwGXyNbLJbE+ZpCPjq6WgxWJ79wcOHEB3d7dzjuzn5uaQyWSc9BKJYuOuUCg46Ur6EvN/dna2bFrevSwuk81mkUqlnEl/siWTSSddSV++p1Ya8l2leZqYmHBer1y5smKevPtqeXpi76jz+nWndGFkZAQd6TSS2Wnn5i+tCHff091VPJ5MI1HIg0nSYKxYNuR8TrzoLNObyGeda9auXgWS8PHyWWHReb3YOVg8ns86YeWLUYGLs96HBgeQzM06ExdlzokMF5aRXt1dnWX19PZ0I5mbASdS2DDY4RiSV45Nor+3mOdGf6fR0WJ5LF++vOnfqZ66V+/vVKnuiW55v27dukDqXrN5mpwsthj7+/tD83+qlqcDnntDM79TUHmS/7CwbNmymr+TfE+taMFBdW2tA7DP836/OVb2HGaW+fsT8j+t89qqENHVRLRt69at5w0PDzecCfkxo7SAjehtxQpoLx2bxf7xefR3JrFppb0nL1nYSm74tjh9qNji2Ts6j2YHAUs9iMpqeFHVG7X/WleM9cbC2c7MtwKQ7WEA75Jj8rRQq9nn/vHcvRS8PE3IU6j7vlYa7jmlaZXuqzU1Xa210ijNkzw1y9OEd/JRrTRK8/TJz1yDZ3g9sOwNSB59Eb/zib93jj+1Ywfe/vHek5bGlf3M7BzyHea4J9rJsdEx03VVvJnnzWqIB4cPgxNp51qn5eAYk3TxeLLj+HkuY+MTyKeL+cybyYv5ZBqzc/MnvtejZ3pmFvl0Me8rhzrQlR7F5EIexxYSJ5WL399JngSF3t7epn8nL43+TuXS8OZJ6oJrTIKoe83myW3xDQ4Ohub/VC1PXSX3hkZ/p6DyJK0boa+vr2Ke/Dx4BGVIDgBY73l/qjlW7pz9RE5fhowxHanz2kCQJmSUaIVecUov/sZbgJks3vmOd2DDiuJYh23XXI5WY7M1IkjXxPplXXjh8DSmu9Y0lVYc60KQqN5o6Q2qa+sxAGcS0UYi6jDO8y0l58j7q8zrDwF4kKUjsHh8sxnVtVHSAbAVbcD1r0SFVuidT/dhZCaLTCqB9csqP6G1hEK+uFnk9OXFp66p7tVNpRPHuhAkqjdaegNpkYjPg4g+CzgToqXD43ZmfoaIvigPt8wsxuI2AHcYZ/qoMTYw591jHPPiO7nWjNiSJ8zvALgAwAoiEt/J/8PMko4VXGdZVGiF3ome05z9GSt77C9k5Tjm7XK6MYbTnauwsJh3RnM1QhzrQpCo3mjpDcxHwsz3Abiv5NgNntcSivLDFa69CcBNZY5faUmuUmJIzjzlRF9qlOnJpLCitwPHpoFtL4/h7ZtWtFuSokSeaJnRNiPONNnionf30WnMZwbRkUrgNNvdWoIsbGVhcatK3VvNhEuJW10IGtUbLb1qSHwgY6lrjadeSnrve+qQs3/NigC6tQRZ1KrFC1tV6976WROGJG51IWhUb7T0qiHxgUzmkS0uen/4dNGQbFp1YoirTYoTEu0vWbpmsNOZ6Pj88BSe3i/TlfwTt7oQNKo3WnrVkCzhSVLN6P3nF486N9pkPhtMt5az1G7a2WyTSiSwbFLGdAB/89MXGkojTnWhHajeaOlVQ+IDCWUg21LXWygw/upHzzuvV44/69x4g0DCpsgWBKeMP4fOdAIPPHekoVZJXOpCu1C90dKrhsQHcVlO8x+fOohnDk5idX8nVkw29sTeCDLz3WbgRi+pwgJ+720bGm6VxKUutAvVaxddareNxCFUtMyt+Ov7dzqv//iiM5EoTtkJBFsLW1Xi6nee0XCrJA51oZ2o3mjpVUPigzg8ddz5q1ecJWnPPKUXl79ZotFgSbZIhBW9mYZbJXGoC+1E9UZLbyyCNrYK14JHJYqqX72T8zn81wdfdF7/6SX/AqlksM8ZbmvEDbpoE3flxMVEBnTapU6r5Dc/9jl0Z8fqWj1xqdeFdqN6o6VXDYkPovTE0YjeW3/2EsZmc/iXG4bwm687BUETZGvEXTlR6HzxKH79yjjyb7ocF75xLR767xK5J951od2oXrtEdWGrJcFSfur46P/5x/hl/wVAIoXR/3UPLnvwq8fDxV+Ipdci8XLe6UN4av8E9hybweFJidQT77oQBlSvXbRF0kaW8lPHc4kNThj316zswfvfc83x4zbCxVdCVjtsB90dKbzh1AGnVfLT545glbMydHzrQhhQvXbRFkkbWapPHbuOTGO07wzIwsb/+jXtC2IoS+a6C1UFzb/csAy7j87g6PQCFk55mzOXJlElLMxSrQthQfVGS6+O2mrD0rVh0/vX9z/vhHA/Z00/lvWcvCJhkMg677K1g850Epe+ca0ToHKyZz3+0092xrIuhAXVGy29akh8IMtTuktULgW9sm7Yf/npi7j/mcNOjKu3nlFcJrRdJAp5Z2sXYkTf9/rVTgTiWx7aje89IUvcxKMuhA3VGy29akh8kEqlnG0p6JWumy/94Dl85ScvQHpw1h3bht5Me/PGlHC2diIh5teO/Np5/R+++zQe3zu25OtCGFG90dIbnZyHgOLKv9HWm8sX8NT+cXzzl3uxZftBpJOEv9l8Lr72JVlsst2Eo3wP/PO9WPHuAYwMnImP3PwQlk3uxuD0y1jfy8fnlyyFuhBmVG+09KohWeKVpcCMHQcm8MjuEXzt+z/DWHLoeIRd6c469dA/42tf+nagw3zDjswxufKDv+XEHNs7AhwdOtvZ9i2M46sP78IH3rAW/cno1YUooXrtooakjSST9hddakUFkdFHv9x9DD/feRiP7R3HxJxZ4yNdnGQ41J3G+qFuvH7dAFb2vS7wYb5R6GmVhbwue+NaHByfx/OHJ7Hr8DTmMYj/+OOdznbuqf347defgn/7lk4s723PsOWlVne9qN5o6Q3MkBDRJRLSSPIA4BvM/Fcln8u/8VsyPwzACIArmPll89n1AD4lI0MB/AEz319Pmq0ml8shjOwbnXVaHGI8frl7BEemTg58uG6wC2/ftByP3HcP3vt/fLTtvpBKELuLWoXjxkxEWDfU5WwXnHUKfvCd2/CGi6/ET549jCf2TzrbX/7TbvybM1fgsjetxXmnLUN3JomejpQTDFKuDwthrbuVUL3R0hvIHYXImeF1C4CLAMhQmMeIaAszP+s5TQzFGDNvIqLNAL4sxoSIzgYg788BsBbAA0R0lrmmVpotYWo+h+cOTWF6dg6L+QKSw1nk8ozFQgGLzp6d4zmzl2O5ks9kL/6J4rGCc32+zDHvZ06anu95VZrm2Lz0xXjoKMyje3YYg7kR9C8cBb80hud/DezbsQO9V16FsBLEolbNtFD2PPIj9M8exBmUwtzA6RjpXo+JzCo8vPOos3kRG9KVTjqTHbs7kp7N8z6TQnfa89rzeVdHEumSdWC8dulVJuqkz+hV1yzMF2fsd46dqCulhq5S+q+2h69Ov/x1JelXTfNk5ueLD0OdM+Oo1QvDLejGqZ1G9c/n3fKdHG3o+lZoqCefbzh10KlbmUxrH9YoiL49InobgBuZ+WJPC0My/peec+435zxCRGLghmVdJQDXec91zzOXVU2zDPsLhcI6x3dQKCCRSJxU+PJajsln0vTL5/POfnI2i+ePhDdENHEByUIOKV5EspDFwtw0Vp+2yRnGSmCwrIPOjAMvvYB1Z5zlzBmRz7z7w3t3YdXpxWucf7kplkMvv4g1G84s3gWkrMw1ldI6cfxEGielIwcrfS+z0Zs6+bjnFnTw5Rex1o+ePS9g3cYyevYaPZ40aqV1cM+LWCtpOWVeHKacRxKHDw8DmR4UnOclyQHVvlMqShs4Z02v87Ditkhk5Fal+567FxKJxAEAp7bbkHwIwCXM/O/M+98F8FZm/qznnB3mHGfwPhHtlnOM0fgVM/+9OX4bgB+Zy6qm6Un7all+4tlnn33d+vXrs729vdsbzcsrr7yy5rTTTisuZh4BVK89oqRVUL12eWXp6t0EQJrc51Y6IZyd5S2GmW+V4LatSOv000/fxswXICKoXntESaugeu1yeoz1BjVMRppF6z3vTzXHyp5jurYGjNO90rX1pKkoiqJYJihD8hiAM4loIxF1GOf5lpJz5L3rCZausAe52O8mxzfLqC65XtIBsLXONBVFURTLBNK1xcyLRCS+C3GUi/fmdmZ+hohkBSFpXokBEN/HHUS0C8CoMQww590DQEZjyfjQa5mLns5yaQaQnZZ0kQWI6rVHlLQKqtcutyKmegNxtiuKoihLl/BMJVYURVEiiRoSRVEUpSnUkNSAiD5PRExEztKBVOS/iC+HiJ4iojd7zr2KiF40W6BTyInor4noeaPpe0Q06PnseqN3JxFd7Dl+iTkmnzkTP9tFmLS4ENF6InqIiJ4lIvHV/aE5voyIfmJ+Z9kP1aobAWpOEtETRPQD814GozxqNN1tBqY4IYnM+13m8w1t0DpIRPeaevucTFwOedn+sakHO4joO0TUGabyJaLbieiImZPnHvNdng3dx8RHolv5zQwvFmf+XgArzLH3mQmRMnX5XwF41BxfBuAlsx8yr4cC1PpeGTxhXkt4mS+b1xJiRiZgSkwEGfW22wxOSJrXZ0hUFXPO2W0q59BoKdG1BsCbzes+AC+Y8vyPEnHBHL/OU9Zl60bAmv8vAN8G8APzXgaqbDavvwbg983ra+S9eS0DW+5ug9ZvAvh35rX87oNhLVsJWQdgD4AuT7l+PEzlC+CdUl8B7PAc81Wejd7HAq04UdsA3AvgjQBe9hiSrwO40nPOTnPDuVI+8xw/6byAdf9bAHea1xI65nrPZ2IY32a2+z3HTzovYL2h0VJD5/dNbDfnNzfH5LffWa1uBKhP5lL9FMC7xZCYm8QxzwPG8XJ264F5nTLnUYBaB8yN+aTvDHHZiiHZZ26wKVO+F4etfAFsKDEkvsqz0fuYdm1VgIgukwmOzFwaTsWtUC77zbFKx9vBJz1hZKKgN0xaymK6JiRExKMAVjGzG1pCYsKtCkk+/jOAP5X4l+a9rJ08LsPvy+g5rtV8PmHOD4qNJuzG35quuG8QUU9Yy5aZZbLz/yeRRSRUmymvx0Ncvi5+y7Ohco5FiJRKENEDAFaX+ejPAfyZ6S6KhF5m/r45R7RLxb0zeIVLEyLqBfBdAH/EzJPeqLYyaVZ8aCHQ+H4AR5j5cSKKQpiOlOmG+Rwziw9BloM4yTcWlrIVjG/hMmMAxwH8D4n1hwjBFssz1oaEmX+z3HEi+g1TYbabm4Z0GfyaiM6vEbLlgpLjDweh16Nb+mzlhvIeExUANULJhCXETGjD3RBR2hgR6Sr8B3P4MBFJd8Eh2csNPAT5eDuAS4lI+r47AfSbtXrEoS1dL4slelyt+0tCEgWFPOnuFyNi3t9rDEkYy1aQ/94eZnbWCyCifzBlPhjS8nXxW54N3ce0a6sMzPw0M5/CzBtkM5VenK7SNJRZ+L9nRj2Ik2rCNB2lT/S98uRinl6kNeMswBUEZpEv6da4lJlnPR9FIcRMmLQcR35gE3HhOWb+SoVwPrJ3WoNV6oZ1mFl8Sqea+rrZhBj6KICHTMihclrLhSQKBPNf2kdErzWH3mOiV4SubA3SpfWviKjb1AtX70NhLF8PfsuzsftYUM6qKG8lznYyC2rJKKOnAbzFc574JnaZ7RMBa9xl+jafNNvXPJ/9udErDrXf8hx/nxmJtNt0j7WzjEOjxaPpHWa9oac85fo+09ctTu0XZaE1ccDWqhsB677AM2rrDPPgsMt0x2TM8U7zfpf5/Iw26HyThEgy5fs/zSih0JYtgC8AeF6c2RLOyYyEPCMs5QvgO8Z/kzMPv59qpDwbuY9piBRFURSlKbRrS1EURWkKNSSKoihKU6ghURRFUZpCDYmiKIrSFGpIFEVRlKZQQ6IoiqI0hRoSRVEUpSnUkChKnRDRPj/rYBDRjbI1k4aiRAE1JIpSByZcxFoJl9LONHx+3zKzyNkMEe0lot8J4nuV+BHroI2K4gMJ5PkyM8+1OQ0/SAiMrAkdLuFIfkhE25n5mYC+X4kJ2iJRlPp4g8QeMsuTHiWig0R0URvSOI5EcyWir1T4TNb2uBzAXzDzNDP/wgTq+91Gv09RKqGGRFHqb028RZ7qzRO+rBz3H9qQhoNEcwbwPROBthxnybo0zCyBMF1kkbZzGvk+RamGGhJFqb81cRMzy1KqhSo3cCtpENFPiWjR3QDMG6P0NSIqt16ELMY1WXJswqw9rygtRX0kilIDs/7E62X9Bs/h1/s0BE2lwczvMekkTUtGjMm1zJyvcMm0WdzKi7yfqlezotSLtkgUpTayIBjM+gwu55r1SeTmvpWI/isRPUNEn7ORhrQ6zDKpi2adic/IazlGROL/KEW6tFJEJAuZubwRgDralZajhkRR6uuSklUzucQIyFLMK8ziQX8G4J2ycJiNNJhZFqu6xiyS1CXLb3u2d5Q5fwaALAf7RXG8E9HbzZrjsiCTorQUNSSKUp+TXBzVDubGv9qslCcG4i5mnjIO9JctprEJwAeZWfwj9SCGp8us0y2r5/2+Dv1VbKA+EkWpATN/qeT9MQBpeU1EYgR+7ek62m4xjc/71D0qhsfPNYrSCNoiUZTm+A3Xz2GMwJNtSkNR2oau2a4oliCiC0zLoNzwXEVZMqghURRFUZpCu7YURVGUplBDoiiKojSFGhJFURSlKdSQKIqiKE2hhkRRFEVpCjUkiqIoCprhfwNAtFRGqEPHogAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sample = df[df.hn != 0.0].hn\n",
+ " \n",
+ "sns.histplot(sample, kde=True, bins=50, stat='density')\n",
+ "plt.xlabel('$h_n|h_n\\\\neq 0$')\n",
+ "plt.ylabel('density')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a35f508f-19a0-4353-b800-06a12fdf0b3a",
+ "metadata": {},
+ "source": [
+ "Наблюдается очень острая форма, не похожая на нормальное распределение. Посмотрим на структуру зависимости второго порядка"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "b5a66ebc-cc6a-4cb0-a304-40b6d5f443bb",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'correlation')"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_acf(sample, lags=10)\n",
+ "plt.title('ACF')\n",
+ "plt.xlabel(\"lag\")\n",
+ "plt.ylabel(\"correlation\")\n",
+ "\n",
+ "plot_pacf(sample, lags=10)\n",
+ "plt.title('PACF')\n",
+ "plt.xlabel(\"lag\")\n",
+ "plt.ylabel(\"correlation\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "822bd51a-353b-450d-beee-68fc50785b67",
+ "metadata": {},
+ "source": [
+ "Зависимости (явной) от прошлого не наблюдается.\n",
+ "Не наблюдая линейной зависимости, можно предположить слабую зависимость"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "94aba4c8-6ff0-4196-a1df-957e887b65f5",
+ "metadata": {},
+ "source": [
+ "## Использование моделей нормальных смесей"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "de5eab12-dec0-4f0a-96b7-3f825eec63f6",
+ "metadata": {},
+ "source": [
+ "Попробуем применить методы из пакета"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9c18efd3-d94a-45ea-b7ee-a37751005763",
+ "metadata": {},
+ "source": [
+ "### Нормальная смесь дисперсии среднего"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cdabbfc7-83db-4abb-a692-5ef73a78af12",
+ "metadata": {},
+ "source": [
+ "$Y_{NMVM}(\\xi, \\alpha, \\mu)=\\alpha+\\mu\\cdot\\xi+\\sqrt{\\xi}\\cdot N$\n",
+ "\n",
+ "Параметр $\\alpha$ равен моде данных, что в нашем случае равняется 0.0\n",
+ "\n",
+ "$\\mu$ надо оценить"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "c63f0d9f-a8dc-45f5-8e3b-56e5e9e0e490",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'size')"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "ESTIMATOR_PARAMS_MU = {\n",
+ " \"m\": 20,\n",
+ " \"tolerance\": 1e-5,\n",
+ "}\n",
+ "\n",
+ "SAMPLE_SIZES = range(1, 33983, 500)\n",
+ "results_mu = dict()\n",
+ "estimator = NMVSemiParametricEstimator(\"mu_estimation\", ESTIMATOR_PARAMS_MU)\n",
+ "for n in SAMPLE_SIZES:\n",
+ " sample = df.hn[:n]\n",
+ " estimate_result = estimator.estimate(sample)\n",
+ " results_mu[n] = estimate_result.value\n",
+ "plt.figure(figsize=(10, 6))\n",
+ "plt.plot(results_mu.keys(), results_mu.values(),\n",
+ " marker='o', linestyle='-', color='b', linewidth=2)\n",
+ "plt.grid(True, linestyle='--', alpha=0.6)\n",
+ "plt.xlabel(\"mu\")\n",
+ "plt.ylabel(\"size\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "b13ff023-4e6b-4e3b-baf4-a063e0a2a494",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.03237192519009113"
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "mu = estimator.estimate(sample).value\n",
+ "mu"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f2389bd9-67cd-4fda-8b01-2f5621027e56",
+ "metadata": {},
+ "source": [
+ "Учитывая визуальную форму распределения и то, что мода равна нулю, можем:\n",
+ "- предположить, что маргинальное распределение $h_n | h_n\\neq0$ относится к классу обобщенных гиперболических распределений \n",
+ "- использовать полученное значение $\\mu$ в качестве начальноого приблежения для MLE оценки в данном классе"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "476a52ea-3360-4b1c-b3eb-cccfacb192cd",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "sample = df[df.hn != 0.0].hn\n",
+ "p, a, b, loc, scale = genhyperbolic.fit(sample, 3, mu*1.1, mu)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "5138b233-2ad6-482e-8d1d-b478e3d56a5f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, '$h_n$')"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(1, 1)\n",
+ "x = np.linspace(genhyperbolic.ppf(0.0001, p, a, b, loc, scale),\n",
+ " genhyperbolic.ppf(0.9999, p, a, b, loc, scale), 100)\n",
+ "ax.plot(x, genhyperbolic.pdf(x, p, a, b, loc, scale), 'r-', lw=5, alpha=0.6, label='genhyperbolic pdf')\n",
+ "rv = genhyperbolic(p, a, b, loc, scale)\n",
+ "ax.plot(x, rv.pdf(x), 'k-', lw=2, label='frozen pdf')\n",
+ "vals = genhyperbolic.ppf([0.001, 0.5, 0.999], p, a, b, loc, scale)\n",
+ "np.allclose([0.001, 0.5, 0.999], genhyperbolic.cdf(vals, p, a, b, loc, scale))\n",
+ "ax.hist(sample, density=True, bins=100)\n",
+ "ax.legend(loc='best', frameon=False)\n",
+ "plt.xlabel(\"density\")\n",
+ "plt.ylabel(\"$h_n$\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5f9c3dd3-1d06-4ff8-a987-91570dc31a07",
+ "metadata": {},
+ "source": [
+ "Выводы: \n",
+ "- визуально модель неплохо описывает данные\n",
+ "- нужно понять, как учитывать выбросы в таких моделях"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e5461ce4-ab43-45de-86f4-ff08e0f4bf0c",
+ "metadata": {},
+ "source": [
+ "### Нормальная смесь средних"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "08e4e724-e997-4606-9bf3-ae39e1e5a669",
+ "metadata": {},
+ "source": [
+ "$Y_{NMM}(\\xi, \\sigma)=\\xi+\\sigma\\cdot N$\n",
+ "\n",
+ "Нужно вычислить $\\sigma$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "cf107580-9201-41ca-a534-de03cfaa2a87",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'Матрица значений сигмы для разных параметров l и k')"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n = len(sample)\n",
+ "a = 0.1\n",
+ "b = 0.2\n",
+ "s = 1\n",
+ "v_n = np.sqrt(np.log(np.log(n)))\n",
+ "\n",
+ "k_0 = n**(1/2 - a - b)\n",
+ "l_0 = k_0 * 1/s * np.sqrt(a*np.log(n) / 2)\n",
+ "eps = np.sqrt(2*a)/s * np.sqrt(np.log(n))/n**b * v_n\n",
+ "\n",
+ "k_values = [0.95*k_0, k_0, k_0 * 1.05]\n",
+ "l_values = [0.95*l_0, l_0, l_0 * 1.05]\n",
+ "\n",
+ "sigma_matrix = np.zeros((len(k_values), len(l_values)))\n",
+ "\n",
+ "for i, k in enumerate(k_values):\n",
+ " for j, l in enumerate(l_values):\n",
+ " try:\n",
+ " estimator = SemiParametricMeanSigmaEstimationEigenvalueBased(\n",
+ " sample=sample,\n",
+ " l=float(l),\n",
+ " k=float(k),\n",
+ " eps=eps,\n",
+ " search_area=10.0,\n",
+ " search_density=1000\n",
+ " )\n",
+ " result = estimator.algorithm(sample)\n",
+ " sigma_matrix[i, j] = result.value if result.success else np.nan\n",
+ " except:\n",
+ " sigma_matrix[i, j] = np.nan\n",
+ "\n",
+ "plt.figure(figsize=(12, 8))\n",
+ "sns.heatmap(\n",
+ " sigma_matrix,\n",
+ " annot=True,\n",
+ " fmt=\".4f\",\n",
+ " xticklabels=np.round(l_values, 2),\n",
+ " yticklabels=np.round(k_values, 2),\n",
+ " cmap=\"viridis\",\n",
+ " cbar_kws={'label': 'Значение сигмы'}\n",
+ ")\n",
+ "plt.xlabel(\"Параметр l\")\n",
+ "plt.ylabel(\"Параметр k\")\n",
+ "plt.title(\"Матрица значений сигмы для разных параметров l и k\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "dce00c68-cfd5-47ac-bd2d-a0673ea7a0ce",
+ "metadata": {},
+ "source": [
+ "Можно было бы сравнить с методом на основании Лапласа. Но он пока не работает. См. [issue](https://github.com/PySATL/pysatl-nmvm/issues/57)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "5ecdc1ce-99ec-4013-ba37-68bb18ef801f",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = np.linspace(-10, 10, 500)\n",
+ "estimator = NMSemiParametricEstimator(\"g_estimation_convolution\", {\"x_data\": x, \"sigma\": 2.0})\n",
+ "result = estimator.estimate(sample.values)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "dabf6931-890f-464b-a92e-adb09ad664c9",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(x, result.list_value)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4ffe9129-e4ec-4bfd-ac35-cedffa9d3ea7",
+ "metadata": {},
+ "source": [
+ "Эта оценка не похожа на правдивую. Если прикинуть, то вероятность попасть в интервал от -10 до 10 равна 0.14 и это очень мало.\n",
+ "\n",
+ "Два варианта почему так:\n",
+ "- мало данных и такой результат ожидаем, потому что у такой оценки скорость схождения $\\frac{1}{\\sqrt{\\log(n)}}$\n",
+ "- модель плохо описывает данные.\n",
+ "\n",
+ "В любом случе без дополнительных предположений ничего сказать не можем. Распределение явно не угадывается"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.10.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/jupyter_examples/data/bitcoin_example.csv b/jupyter_examples/data/bitcoin_example.csv
new file mode 100644
index 0000000..e5cab89
--- /dev/null
+++ b/jupyter_examples/data/bitcoin_example.csv
@@ -0,0 +1,33984 @@
+bar,open,close,low,high,volume,length,timestamp
+0,93741.6,93739.7,93739.7,93795.2,10.594618,1651,2025-04-28
+1,93739.6,93696.1,93696.0,93739.6,10.710546,718,2025-04-28
+2,93696.1,93676.1,93664.9,93738.7,10.681198,1603,2025-04-28
+3,93676.1,93667.8,93667.8,93703.7,10.564766,1359,2025-04-28
+4,93667.8,93510.0,93510.0,93667.9,10.797982,1713,2025-04-28
+5,93510.0,93502.8,93489.2,93511.7,10.712059,1018,2025-04-28
+6,93502.8,93428.6,93423.5,93510.9,10.694944,1503,2025-04-28
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diff --git a/jupyter_examples/nm_g_validation.ipynb b/jupyter_examples/nm_g_validation.ipynb
new file mode 100644
index 0000000..c161feb
--- /dev/null
+++ b/jupyter_examples/nm_g_validation.ipynb
@@ -0,0 +1,120 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "id": "40065d36",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiParametricEstimator\n",
+ "from src.generators.nm_generator import NMGenerator\n",
+ "from src.mixtures.nm_mixture import NormalMeanMixtures\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy.stats import gamma"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "id": "53e7a202",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "n_samples = 10000\n",
+ "sigma_0 = 2\n",
+ "mixing_dist = gamma(9, scale=1.0)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "id": "78983f18",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def generate_nmm_sample(sigma_0, sample_len, mixing_dist):\n",
+ " generator = NMGenerator()\n",
+ " mixture = NormalMeanMixtures(\"canonical\", sigma=sigma_0, distribution=mixing_dist)\n",
+ " sample = generator.canonical_generate(mixture, sample_len)\n",
+ " return sample"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "id": "1bc31f80",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "sample = generate_nmm_sample(sigma_0, n_samples, mixing_dist)\n",
+ "x = np.linspace(0, 20, 1000)\n",
+ "estimator = NMSemiParametricEstimator(\n",
+ " \"g_estimation_convolution\", {\"x_data\": x, \"sigma\": sigma_0, \"bohman_n\": 10000, \"bohman_delta\": 0.0001}\n",
+ " )\n",
+ "result = estimator.estimate(sample)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "id": "376ddc91",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(0.0, 0.14681763772377276)"
+ ]
+ },
+ "execution_count": 40,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(10, 6))\n",
+ "plt.plot(x, result.list_value, label=f'Оценка $\\hat{{g}}_X(x)$', color='blue', linewidth=2)\n",
+ "plt.plot(x, mixing_dist.pdf(x), label=f'Истинная плотность', color='red', linestyle='--', linewidth=2)\n",
+ "plt.title(f\"σ = 2, Gamma distribution\")\n",
+ "plt.xlabel('$x$')\n",
+ "plt.ylabel('Плотность')\n",
+ "plt.legend()\n",
+ "plt.grid(True, linestyle=':', alpha=0.7)\n",
+ "plt.ylim(bottom=0)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.11.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/jupiter_examples/nm_sigma_estimation_comparison.ipynb b/jupyter_examples/nm_sigma_estimation_comparison.ipynb
similarity index 100%
rename from jupiter_examples/nm_sigma_estimation_comparison.ipynb
rename to jupyter_examples/nm_sigma_estimation_comparison.ipynb
diff --git a/jupyter_examples/nm_sigma_validation.ipynb b/jupyter_examples/nm_sigma_validation.ipynb
new file mode 100644
index 0000000..e86a164
--- /dev/null
+++ b/jupyter_examples/nm_sigma_validation.ipynb
@@ -0,0 +1,524 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 367,
+ "id": "cf63cf5a",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import math\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy.stats import expon, norm, gamma, t, laplace, logistic, chi2, lognorm \n",
+ "from scipy import stats\n",
+ "import time\n",
+ "import warnings\n",
+ "import os"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 368,
+ "id": "95f47b53",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiParametricEstimator\n",
+ "from src.generators.nm_generator import NMGenerator\n",
+ "from src.mixtures.nm_mixture import NormalMeanMixtures\n",
+ "\n",
+ "M_SIMULATIONS = 100 \n",
+ "N_SAMPLES_LIST = [2000] \n",
+ "SIGMA_0_VALUES = [0.5, 1.0, 5.0, 10.0]\n",
+ "SEARCH_AREA = 15.0\n",
+ "\n",
+ "DISTRIBUTIONS_TO_TEST = {\n",
+ " \"Normal(0,1)\": norm(loc=0, scale=1),\n",
+ " #\"Gamma(2,2)\": gamma(a=2, scale=1),\n",
+ " \"Mixture 0.5N(-3,1)+0.5N(3,1)\": \"mixture\",\n",
+ " \"Expon\": expon,\n",
+ " #\"t\": t(df=5, loc=0, scale=2),\n",
+ " \"Laplace\": laplace(loc=0, scale=1),\n",
+ " #\"logistics\": logistic(loc=0, scale=1),\n",
+ " #\"chi\": chi2(df=5),\n",
+ " #\"lognorm\": lognorm(s=0.8, loc=0, scale=np.exp(0))\n",
+ "}\n",
+ "\n",
+ "A_PARAM = 1/8\n",
+ "B_PARAM = 1/16\n",
+ "\n",
+ "ALPHA_PARAM_EMPIRICAL = 0.9\n",
+ "\n",
+ "OUTPUT_DIR = \"validation_sigma_plots\"\n",
+ "os.makedirs(OUTPUT_DIR, exist_ok=True)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 372,
+ "id": "0f4e7596",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def generate_nmm_sample(sigma_0, sample_len, mixing_dist_info):\n",
+ " generator = NMGenerator()\n",
+ " xi_sample = None\n",
+ "\n",
+ " if mixing_dist_info == \"mixture\":\n",
+ " n_half = sample_len // 2\n",
+ " xi_sample = np.concatenate([\n",
+ " norm.rvs(loc=-3, scale=1, size=n_half),\n",
+ " norm.rvs(loc=3, scale=1, size=sample_len - n_half)\n",
+ " ])\n",
+ " Z_sample = norm.rvs(loc=0, scale=1, size=sample_len)\n",
+ " Y_sample = xi_sample + sigma_0 * Z_sample\n",
+ " return Y_sample\n",
+ "\n",
+ " else:\n",
+ " mixture = NormalMeanMixtures(\"canonical\", sigma=sigma_0, distribution=mixing_dist_info)\n",
+ " sample = generator.canonical_generate(mixture, sample_len)\n",
+ " return sample"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 373,
+ "id": "94461636",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def estimate_sigma_matrix(sample, sample_len, search_area, a, b):\n",
+ "\n",
+ " log_n = math.log(sample_len)\n",
+ "\n",
+ " k = sample_len ** (1 / 2 - a - b)\n",
+ "\n",
+ "\n",
+ " sqrt_log_n_term = math.sqrt(a * log_n / 2)\n",
+ " l = (1 / search_area) * sqrt_log_n_term * k\n",
+ " \n",
+ " log_log_n = math.log(log_n)\n",
+ " #eps_numerator_part = sqrt_log_n_term * k\n",
+ " denominator_part = max(sample_len**b, 1.1)\n",
+ " eps = ((math.sqrt(2 * a) / search_area) * (math.sqrt(log_n) / log_log_n)) / denominator_part\n",
+ "\n",
+ "\n",
+ "\n",
+ " estimator = NMSemiParametricEstimator(\n",
+ " \"sigma_estimation_eigenvalue_based\",\n",
+ " {\"k\": k, \"l\": l, \"eps\": eps, \"search_area\": search_area, \"search_density\": 100}\n",
+ " )\n",
+ " est = estimator.estimate(sample)\n",
+ "\n",
+ " value = est.value.real\n",
+ "\n",
+ " return value, k, l, eps\n",
+ "\n",
+ "\n",
+ "def estimate_sigma_empirical(sample, sample_len, search_area, alpha_param):\n",
+ " log_n = math.log(sample_len)\n",
+ " t_param_numerator = math.sqrt(alpha_param * log_n)\n",
+ " t_param = t_param_numerator / (2 * search_area)\n",
+ "\n",
+ " estimator = NMSemiParametricEstimator(\"sigma_estimation_empirical\", {\"t\": t_param})\n",
+ " est = estimator.estimate(sample)\n",
+ " value = est.value.real\n",
+ "\n",
+ " return value, t_param\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 374,
+ "id": "1115f6f8",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ " Distribution: Normal(0,1)\n",
+ "\n",
+ " n = 2000\n",
+ " sigma_0 = 0.5\n",
+ " Dist=Normal(0,1), n=2000, sigma_0=0.5\n",
+ " sigma_0 = 1.0\n",
+ " Dist=Normal(0,1), n=2000, sigma_0=1.0\n",
+ " sigma_0 = 5.0\n",
+ " Dist=Normal(0,1), n=2000, sigma_0=5.0\n",
+ " sigma_0 = 10.0\n",
+ " Dist=Normal(0,1), n=2000, sigma_0=10.0\n",
+ "\n",
+ " Distribution: Mixture 0.5N(-3,1)+0.5N(3,1)\n",
+ "\n",
+ " n = 2000\n",
+ " sigma_0 = 0.5\n",
+ " Dist=Mixture 0.5N(-3,1)+0.5N(3,1), n=2000, sigma_0=0.5\n",
+ " sigma_0 = 1.0\n",
+ " Dist=Mixture 0.5N(-3,1)+0.5N(3,1), n=2000, sigma_0=1.0\n",
+ " sigma_0 = 5.0\n",
+ " Dist=Mixture 0.5N(-3,1)+0.5N(3,1), n=2000, sigma_0=5.0\n",
+ " sigma_0 = 10.0\n",
+ " Dist=Mixture 0.5N(-3,1)+0.5N(3,1), n=2000, sigma_0=10.0\n",
+ "\n",
+ " Distribution: Expon\n",
+ "\n",
+ " n = 2000\n",
+ " sigma_0 = 0.5\n",
+ " Dist=Expon, n=2000, sigma_0=0.5\n",
+ " sigma_0 = 1.0\n",
+ " Dist=Expon, n=2000, sigma_0=1.0\n",
+ " sigma_0 = 5.0\n",
+ " Dist=Expon, n=2000, sigma_0=5.0\n",
+ " sigma_0 = 10.0\n",
+ " Dist=Expon, n=2000, sigma_0=10.0\n",
+ "\n",
+ " Distribution: Laplace\n",
+ "\n",
+ " n = 2000\n",
+ " sigma_0 = 0.5\n",
+ " Dist=Laplace, n=2000, sigma_0=0.5\n",
+ " sigma_0 = 1.0\n",
+ " Dist=Laplace, n=2000, sigma_0=1.0\n",
+ " sigma_0 = 5.0\n",
+ " Dist=Laplace, n=2000, sigma_0=5.0\n",
+ " sigma_0 = 10.0\n",
+ " Dist=Laplace, n=2000, sigma_0=10.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "all_results = {dist_name: {n: {s: {'matrix': [], 'empirical': []} for s in SIGMA_0_VALUES}\n",
+ " for n in N_SAMPLES_LIST}\n",
+ " for dist_name in DISTRIBUTIONS_TO_TEST}\n",
+ "\n",
+ "overall_start_time = time.time()\n",
+ "\n",
+ "for dist_name, dist_info in DISTRIBUTIONS_TO_TEST.items():\n",
+ " print(f\"\\n Distribution: {dist_name}\")\n",
+ " for n_samples in N_SAMPLES_LIST:\n",
+ " print(f\"\\n n = {n_samples}\")\n",
+ " for sigma_0 in SIGMA_0_VALUES:\n",
+ " print(f\" sigma_0 = {sigma_0}\")\n",
+ " estimates_matrix_run = []\n",
+ " estimates_empirical_run = []\n",
+ " simulation_start_time = time.time()\n",
+ " print(f\" Dist={dist_name}, n={n_samples}, sigma_0={sigma_0}\")\n",
+ " for i in range(M_SIMULATIONS):\n",
+ " \n",
+ "\n",
+ " sample = generate_nmm_sample(sigma_0, n_samples, dist_info)\n",
+ " sigma_hat_matrix, k_used, l_used, eps_used = estimate_sigma_matrix(sample, n_samples, SEARCH_AREA, A_PARAM, B_PARAM)\n",
+ " estimates_matrix_run.append(sigma_hat_matrix)\n",
+ "\n",
+ " sigma_hat_empirical, t_used = estimate_sigma_empirical(sample, n_samples, SEARCH_AREA, ALPHA_PARAM_EMPIRICAL)\n",
+ " estimates_empirical_run.append(sigma_hat_empirical)\n",
+ "\n",
+ " simulation_end_time = time.time()\n",
+ " num_valid_matrix = len(estimates_matrix_run)\n",
+ " num_valid_empirical = len(estimates_empirical_run)\n",
+ "\n",
+ " all_results[dist_name][n_samples][sigma_0]['matrix'].extend(estimates_matrix_run)\n",
+ " all_results[dist_name][n_samples][sigma_0]['empirical'].extend(estimates_empirical_run)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 375,
+ "id": "ff56588a",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Saved box plot: sigma_boxplot_Normal0,1_n2000.png\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Saved box plot: sigma_boxplot_Mixture 05N-3,1+05N3,1_n2000.png\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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1i4Jq8Tr8DltpPwMSrW+1XpVdwZt4/OCYT00Ai6uX/X2lc+n0008vsil7kIKBsf0xKtOqKGrWqPr5yiuvdNlSsRSAVjaWMnpL05QbALIFQSkAyEDK0lEmgvr9CPbn41Pn27pJCPYBVBrqJ0ZZDurrKZGbO92sqflFUFEdXeuGRMEYZWJoGfWl4o+KFEt9Jikbwh9RrjSUjaWbGXUqXhJ/5D8/s6Uo6q9E2R0a2Un7XftXWWKxmSiJBqV0c6Sb/2AnvolSMzFlbenmTjeOuiH7/PPPrWrVqiUGn/zmSLEjlWmkvtKcI998843ryLu0TYl0g6eAVrwRC1UGBSzKkuHnZ5aUlLWnLB0FOnWzGUv7T2VTp85B8YI+JYmXXZUM/rYFz1cFqmP7hlJTKu3L2GuzMh+Hkva3AoXKEk1mUCre/i4pGyhI26Rmun5wRH0fqc+tZ555JipgGHt++dlM6sA9mRTI0TEKBoC0PcGgUmk/A3QO6ZgFs9fi0XqVXVrUORmvbi6us3udYzpHFehLdJ0652OXrVKlStxl1aeaMvn0g4TeJ15QSteRAs86rjpX1HxXna+Xty8/AMgU9CkFABlIv9jqRkFBkdgvyfr1XZk8GiJdy5WFOuXVl/xbbrml0Dz12ZLIsOtFUb8pugFQZoA6z1YfIgqwxRvRSJlWynwobdBD+0R9nihzIhEvvfSSy7SIF+CLpSCallVASDc2xY0aWNLNmUaa0s2ORjorDe1/jVyo16lZibZFv9THdsyufRwvKKL3lmD/LTrepfmVX+eIMjviHTsFB9RPTnHUz4760goGRNRJ+P/+9z+XPRc0Y8YM19zJp37SYpuc6cbfz9ZTAKk4Kr9uGNUMU5kY8ZrjxAZqFPDR8Q7+FddUUUHhjz76yA0Tn2yTJ092GZMKjpZXZTsORe1vXRPqW0hZWkU1OSvP/lYdFGyeWRx14h5sXq3mhAo+q5PsYAAkmGmn/8c2Y1TARQM1PPnkk1H7Pfa1ZaFM1uC69FzZqP5okaX5DFCWqZohKjOwpCbQWq/qdj/LM0jrDPYJpmOvTtGLa9qsfamBLHTs4wXv1LyvPIYPH+6a7JWUHassKV0z+oFAdUNJg3cAQDYhUwoAMpD6LNGv7IMHD3a/+mqELw21rhthdfqr/j3Ux4wffAjSF+dgkz7/V339yqs/rU9DdivgpYCJhjFXEyDdsGhZdVSrmyfdzJaXblp1U6psHzWfCGZ6KANJWVWJ/vrt0w2PmgMpMKKbOmVixGYDaNrxxx/vfgVXn1XaV3pNSU0dtW/ffPNNF/BKtK+q4qgPkrK+ToE3ZTLopkyjYSlIpWCAOjvX0OSiTonV7Ex9oeyzzz7uhlH7WcEM9fWjTDQFMdVUSoG50nQSrY6q1Zm1bta0P3QTpptYBS40XTedxQVkNOKXAloDBgywK664wp1fagqoG0D1SRSkDBWdk8qoEwXgNLKW/tRXj461jotGIFTQsLjMiuCIXcpQUwAmNrijfah5Ol9imxPFo2tGN/PKElEWmq4TnSsaACB2lDQ1z9K1q4wKPytFgUPd1IrKIAoSqDmm/oKdUvsZNTqO5e3surIeBwV3lAGpZsMKQClgo07mdT3Hjvin0dcUWNA52rdv38h0P3D23XffuUe9jzJP443upv2t89sf2a0kup4U4FZzT2XMKPis/aNmy6Lmeqqbtb8V2FW9o6BKvKaK6itO69K+1D716/kxY8a4urkslEGnTEtlV2ofqp8/rU8j//nZbYl+BqiZuPavmg/rHArWt34H48qI1Tmic0o/lCiApWxfXQuqoxTA1mePgncqmzJvNTKp3kPZYkU1P/XpGtPxVVm0j/VDgeo1vb/qyET6LiyKPocUaIrtUy9I55A+w3SuqZ4FAMTwAAAZa9q0ad4pp5ziNWvWzKtWrZrXtGlT9/zbb78ttOyNN96on9aL/Tv99NOjXvPYY495PXr08PLy8rw6dep4nTt39q666ipv4cKFkWXatGnjDRgwoND7XXDBBW6dQXqu7Qhavny516hRI+/444+PWi4nJ8ebPHly1LIHHXSQ+yuOylBSOfU3Z84c78UXX/Q6derk3X///d62bdui1jN27Fi3nB5l1qxZXu3atb1hw4ZFLffUU0+55b788stit8vf/8uWLSt2OS2jfefTdmqa3kfeeust93zkyJFRr1u1apU7Fl26dPE2bdrkpq1Zs8Y79dRTvfr167vXaL7vxx9/9A499FCvRo0aXpMmTbxrr73W++CDD6LKLNrfe+65Z9xt1fvceeedbr7Ws+OOO7rzZfjw4V5BQYFXkvnz53uDBg3y6tat6+2www7e0Ucf7fZzvH0SPO4//fST94c//MFr27atV7NmTa9WrVrufR955JFCx7G44+OfK7Hl27hxo9ewYUPvlltu8RKhY7v33nu78letWtVr3ry5d/LJJ7vrM9aJJ57orqfffvut0DGO9xc8ZpKfn++mf/jhhyVul14be71lwnH4xz/+4R1wwAFunva36o9jjjnGGz9+fKF1X3755a4u0X6LLUtRf0ErV670qlev7j3xxBMl7ke/zlC9onqicePG7lirfvz555+jlv3+++/d9af9rXL85S9/8b755puoa903ffp0Vz/qOtZ+3n333b3rr7++xLpF+zp2fdrXqsd0/R9++OHumOn61zq2bt1aqEwlfQYk8rkSW6esXr3a7Z/27du7favy9+rVy7vnnnsidVfLli29M888M+qzJnhex35WLVmyxNWbrVq1inwWHnLIIW77Y4/Pq6++Wmid2ifBdfrna9euXaPO5dj6eMOGDd5ee+3lzsctW7YUWu7uu+8u9F4AkG1y9E9soAoAgFj61VrUsXiml0MZJsFMFSCWmi0p+0aZIUX1N1MWyhZR5kdZ+iGTSy+91DW79JuUZbryHgc1cW3Tpo3L7ikLZTndddddrhlZSX0rKYOsX79+7r2SkUmaCv7ohGUZNTQeZQep3H72XDyqZ1UfBzPVAADZgz6lAAAASumyyy5zN+5q1pgsauajJm4aca0s1GRT/Yep6Vk2BKTKexzU55U641dTsLJQ80s1ZVRzvmR2nA4AQDahTykAQELUL04mUEfqJVFfXCV1yIvspvMjXofa5aE+kxQoKSv1aZSsDJdsOA7qqym2I/bSUB9KsR2MI5pGFNR+Ko7671OGIAAgO9F8DwAAAEixbGy+BwBASQhKAQAAAAAAIHT0KQUAAAAAAIDQEZQCAGSltWvX2vz58+23335L96YAAAAAWYmgFACERMOGd+jQwbZt25buTcla6svlkEMOsTp16rgOklu3bu2OC4Ds9ssvv9jTTz8deT537lx7/vnn07pNqPhuuummCj/SpUblrF27tr377rvp3hQAiIugFACEQCNq3XnnnW6o99zc36tefZn1/zS9efPmdvjhh7sOcZFc11xzjZ100kkuIPX444/bBx98YB9++KGdf/756d60SkFZZcOHD7d9993XdtxxR2vYsKH17dvX7cN4Vq5caeecc441atTI3RCpg+cpU6bEXfbtt9+27t27W82aNV2g8MYbb7QtW7aUa52JUGfOeq8jjjjCGjRo4K7DYGAiVn5+vltWAU0t/6c//cmWLVtWaDkFnhXsbNeunSuTRiB78cUXy7ydSD0d+wsuuMD++9//uoDUVVddZRMmTEj3ZgHlplE5zz77bLv++uvTvSkAEBcdnQNACO677z5387tkyRJ3kxq8ETrssMPstNNOM1XHc+bMsX/+859uiPMxY8bYkUcemdbtzhQff/yxC6CMGDHCBadQev/4xz/cjfrAgQOtd+/eLmj07LPPuqDQk08+aWeccUZUUKZPnz72zTff2JVXXukCWDqvFdiaPHmy7brrrpFl//Of/9iAAQPc8TnllFPs22+/tYceesgFnx5++OEyrTNRCj4ocKRA2M477+yCwU899ZQbgSxeJk23bt2sXr16dvHFF7uA1j333ONe+8UXX1j16tUjyw4bNszuuOMO+8tf/mL77LOPvfXWW+56VmDq5JNPLvV2IhyXXnqp3X///e7/zZo1c+fDbrvtlu7NQgWmelB/wc/1ikgB9T322MM++ugjO/jgg9O9OQAQTUEpAEBq7bXXXt6QIUMKTVc1fMEFF0RNmzZtmpt++OGHh7iFme3oo4/2evXqle7NqNSmT5/uLVu2LGrahg0bvA4dOngtW7aMmv7yyy+7c/jVV1+NTFu6dKlXv35975RTTolado899vC6dOnibd68OTLtuuuu83Jycrz8/PwyrTNR2v5Fixa5/3/55Zdu/U899VTcZc877zwvLy/P+/nnnyPTPvjgA/eaRx99NDLtl19+8apVqxZ1XW/bts3r06eP209btmwp07YiHLNnz/Y+++wzb82aNeneFCCpOnXq5P3pT39K92YAQCE03wOAFFP207Rp0+zQQw9NaPnOnTu7LBC9zqfsDf262bhxY6tRo4b7xTOYReI77rjjrG3btu5XWy177LHHusyTIL+5oLK3YqnPK8278MILCzWbUhZBq1at3Pu3b9/eNUcM9o+lrBO9Vtkjf//7361NmzaWl5dnBx10kE2fPr3EcqvZVLA5Y61atdy+eOKJJ6KWUxaLmk8VR69XXx++zz77zDp16uSyVNTsStulDJbRo0cXeq2y1M466yxr0qSJ249dunSxZ555JmqZ0pRV26tjEjRq1CjXXFPZNMUtpywgrVfvpfcsjr9fFixY4LKZ9H81c7viiits69atVl577rmnOy+DdC4cddRRLoto9erVkemvvfaa238nnHBCZJq2Rc0nlTW0ceNGN+377793f8qKqlq1amRZNalUzFbrKe06S0Pb37Rp04SWff311+3oo492mVE+XdPKpHnllVci07QtmzdvjmoWquN33nnnuf00adKkEo9j8DqI/Ytt2qt+0nr06OHOEx2fIUOGuHOguHWq+aUy04LN03TuFfe+wXNTgwRcfvnlkfpg9913d9dCbPK9X5eobyYto+tJ2zp+/PhC5dY2n3nmme4Ya50635SBF6Sya53B88Kn8z2Y4ebXJ8HrRvWVmlLGNtMMXnu77LKL7bfffrZixYqEr72S9mG8JqF+X0Sxf7FZemPHjnUZgjpmweVi6+hY/r4Kni8LFy5027j33nu7TD/ZtGmT3XDDDe64KAtQzWL1fnrfIGVEal7s+2p9wW1ev369a+Krzyh9bhRXx8c7t3z/+9//3HboPevXr+8+25Ttk8g+DNYliV4j8eg6VpNlZWHq3FUzuAMOOMA1/Y7dhiDtA2VT6r3UXFyfw3q/2M8l/7U//PCD2ybtf9Vpamana0n1v8pdt25dV0+NHDky6n0SPXY+ZWX/+9//LnSdAkC6RdfaAICk+/TTT92j+sxJhEaD058CPz4FoHSTpi+3+sKtL5a66dVNlvpBCdINvr7A6gZETa5046wAl4I8Pn3BVqBLgabgdv7888+FtmfdunUu2KIv1eeee667KdeyaqK0aNGiQsEtNelSgELbtWHDBtccRgE1Bcd0w1kSBXn0ZV79cOmmVE2gdNOSaFCvqI5eH3vsMXfjqpsFffFXYEgBDt0wq9mYfzOhm/XZs2e7my817dINjW66dIN1ySWXlLus77//vrv51vpLakqoGw6tN1EKPvXv39/dVCtIoP6edCOjG20FRXw6vxIJVOmcCZ438SxevLjQclOnTnXne7D/NNHNqo6DbsIUcNRyopvkIPWt1rJly8j80qwzFXTuK1gZu53++wc7ENZ26uawY8eOhZbz5+vGtjgKysQGY7/88kt74IEHCt3kq9mkAqxqmqrmwToHP/nkE/c+upn36ZrStSUKjmk5BRR146vldB37gQrd/N9+++127bXXRsrhB4J1Q6t6SDe+Ct527drV9cOkJpXaT/57BJvOvvzyy+66U7nU5FL9cqnJowLFou3ef//9I8EWXZ9q1qn1qx4I1lPl8dxzzxUK0ifr2vNpfyhgJ6p3tZ6Stsl32WWXRc3T69W0VU0JtR7tF1FfZqVVUFDgmoNXq1bNna/+8dT+1bmmOlB1reqzf/3rX64e0TFSeUTXnurKE0880f14ES8opnNDTdG13Z9//nnU+Rd08803u7pVVD/FjoCqekvbqia1CtyoXn7wwQdds2EFx2KDWPp8DP5QEawjSnONxNJ76zXqj0nXr/bVV1995bZBAZ6i6PNCgWodJ53XugZ0HIvyxz/+0V1n+pFCzXxvvfVW9+PJo48+6j5P9AOQ9r1+YFA5DjzwwFIdO5+CV7o+v/vuu8i1BwAVQuHkKQBAMv3tb39zTXxWr15daJ6mn3XWWa5ZlJoiff75594hhxzipo8cOTKy3Lp16wq9tn///t7OO+9c7Hu/8sorbl1fffVV1HsOGjTIq1q1atR0bcepp55aqEnhLbfc4tWuXdv74YcfotZ9zTXXeFWqVPHmzZvnns+ZM8e9Vk2c1ITJpzJp+mWXXVbstqrZlJbTenx6T0276667ItNOP/10tz3F0WtuvPHGqOf6GzduXNQ+7dixo9e0aVNv06ZNbtp9993nlhs1alRkOc3r2bOnt8MOO3irVq0qdVm1vW3atHH/1/7Wev7whz94W7dujdrm4HJ+c7nc3FzvyCOPLLRf4tHrtdzNN98cNb1bt25ejx49oqbpffx9UtxfcB/GM2vWLK9mzZqFmoTo+Jx55pmFlh8zZoxb73vvveee33333e65fw4F7bPPPt7+++9f6nWWVXHN9/x5zz77bKF5V155pZunpoAyYMCAuNfl2rVr3XK6bopT1PmtZot6/dixYyPnZePGjV2TnPXr10eWe+edd9xyN9xwQ5Hnljz22GNuuS+++KLQe+k9gu8VNHr0aDfv1ltvjZquOkVNLtX8zeefR8F6Rs0fdc4cf/zxUXVPs2bNvOXLl0et8+STT/bq1asXqf/87Qo24fRpn6mcRdUnOj6tW7eOXE/B41zea8/XvHlz11Q4kXPKb6IapG0IlkHNQvX6SZMmldjsu7hjqLL37dvXnS/B4yNqTrpx48aoab/99pvXpEmTuNeb6mLV+/71Ftzma6+91qtRo4Y3ceLEuNvkn3PB80HXS+y52bVrV7etv/76a2TaN998447JaaedFpmm+knri21W7CvNNRKPmhVr+4rjb4Nv8uTJ7vmll14atdyf//znQnWq/9pzzjkn6nioma/OjTvuuCPqmOjzJnh+lPbYffrpp+791BQaACoSmu8BQIopS0fZTUU1OdMvm/oFXM3tlOGiX3CHDh0alR2gZgfBX7yXL1/uspd++ukn9zw2s0nzv/76azfKnDJ2Yjvr1TT9cqtsKf81+mU32Fm1T5lCfvMRrdf/U+aSsm1im+Ko6ViLFi0iz/ULs8qV6HDU+tVc61fZ9KtulSpVXFlj+duRaDaDfmEOrkf7VNlmyvTxR3DTNirLzM+cEmUW+B1b6xfvspZV5dE+16/Xyo6IzfiJpUw0ZSf84Q9/sNL461//GvVcx07vHaRf3dUEpaQ/ZT0UReeMtk37MdgMUZTZoKyYWH5nwJoffCxqWX9+adaZCiVtZ3CZsLZTGRvK3tI5HOxkWeeYMlmUcRGkrEr/mlHdoCw/ZeDEZnSVROe2rkldE0HKDlK8RBlOQT179nQZGj5lWqpJkrKrVH/oNWoaecwxx7j/B+sYZXyofosdYVEZIcHl9FcSdZ6vulgDTpSkrNee6qJEO7xW06t450mQ3yRWzcbKSsdd17GaMOvYKWsySMfS76Rfy6rZojruVlZgvJEtlRGnDCA1m1XTW5/qNGXXKbtHGU3x+HV1cftI2bc6P5VtpGwhn5pdKjsp0c+RslwjsZRFpayiWbNmJfye7733nnuMHdX1oosuKvI1ysQKHg/te10LyhQMbouawAbr8tIeO32GSyLXCwCEieZ7AJBmukFTUwg1XVH/E2qmp+Y/QQpU6WZK/dEoGBCkmzb1JxFsGqF0f1FfGOpTROuNpQCU/tR8QoEnfWGNNyqPvpCrTyy/6UgsfekPijcKWmy/O8UJNnPUTZuaIPpNn4J92gS3R33b6KY4tnldkG5CYvk35OozRsEkNV/U9scGjPzlYps3JlpWba9usNV0RDeYsX2QxJo4caJroqmRkubNm2eJ0o1X7HHScY1tHlPUTWOiFExQ/1y6KVUQQs3tghSoitfHk39T6gdZ/ceilg0GYxNdZyqUtJ3BZcLaTv9c1I1qvHNd51CQmukFzw0FpBQMKql/tnjvq+MdW6eU9hpRPbZs2TJ3ralprJpg6i+ROkbNX0tDdaQCJgr2l9SEuKzXnq4JlSNYFxdHy5a07xXQ8wNBakZWVB1cnOuuu84FpFTnxH52+NRnnj4HZsyY4fpR8vlN7GKpHlPTMfWxprpNzeBeeumluMcqyA+GFLePijuvdY4pmKn3jP2MTMY1Ekufpfp81vmq5m5qdqqAnAJkxb2nzunYfRdsjh8r2E+dv39Ul8f24afpCqyW9dj5fUmV9PkDAGEjKAUAKaYghH691K/e8YJD6junuP6SfvzxRzvkkEPcl+h7773XBWD066h+MVYmUbCzcf9XVy2vfmM0X32AqA+o2BsB/Vqs9aizb2VMnX766XGzd7R+/UJ91VVXxd2+ZA+Zrr6edOOom3h1dqv+mvQFPdiZrp7rxlG0X9X3lDLLdKOtX/BjpTJgkQjdjOkmStus7CrdYBaXsXH11Ve7IJaChPE6SS6KfjlPhIIBifQppZvmeDfO6r/knXfecRlX8QKZOg7KeIjlT/ODWFrOn67zOnbZYDAy0XWmQnA7472/Mjr8rBctq/6WdAMYvPkLYzuLo2tK15YfpNE1o5ts3Zinqi+uRPj1lzp6Vh0UT2wQQP0rKQMwSJlWRVGQXnWbgjuxN/XJuvYUwFJZ4nXaHY8yNEvqZL9Xr1529913u8621XF4WahvJ5VDwX31N6gspGCGls4J1a2ql7R/lLGrekR1lD57Yr355psuEP3CCy+4OszPVFNWmfqAUiBHmab6XIul4L8yT9N1DZSW+m7SPtDgBeoLUP036TP1kUceicpuKq949XZRdXmwk/LSHjv/x4nYYBcApBtBKQBIMT9DR52/FvcLa1EUyFDmxdtvvx31i2pRI+zoF1n/V1kFu/Qa3UAEO7oWNSnUr7633Xaba6IQO9KVT8091HQt0Y7G4zV1UCfUid6sKYvHX1a/xGvb9CU7GJTSF+/g9ijApsCAmk7EC0rpV+OZM2cWmq5fl8V/P42ip6ww3VwGA3T+cppflrKqE3Btm84FdWasrA1tZ7ymUwoSKiMuXvOLZFFTxnid2sfSTWdwtCjRzY+CmOoYO9jMMUhNFDWyW+x+1A2y9oUfyPQ74lUzm2AASp30K6iqm+jSrjMV1ERTWSrazlixHQrr/7p5VWfhwUCCttOfnwz+uajzOjYwqGmx56oCucFrRp2V65pRsEJNrkrzvuqIOjbIXtprRMfMz/zRehQkLc0IpbHLFnUTr3NJHVurDtH7FBeUKs+1558b8TrDj0dZhokMfqHOrbUPldWmJpf6IaG4TrZjKaClYJ/OO22bOtG+5ZZbIvM1kqGCSW+88UZUEDVe0FwZSgr+Dxo0yF37Wp/Wq88bZewoYPLiiy+6ZeKNkKh9FG+wgqLO61g6xxRQSSRLqizXSDy6RvysYn0OKlClOrGooJTWqTpKn/fBLEENnpFspTl24o/oW9omuwCQavQpBQAp5jfBiHdDmwj/Ziv4C6kyHfz+oIrjN5eI15zIbwaj0aj0RVtfbuNR8EQ3amo2Ea8JirLAYm/sgsNt66ZdN+QaTaks1AdPUdvv8/dNUTemGmVM2+GPhCjKxNKoTcpW8Pu80XLKYNBoYT6VTyM/KWMotm+rRMuqm28/OKlMAmURKNsodmhu3ZhrxLNTTz01acGLeMrap5SyNjSqn7axuKaSumlVEx/dLAXPRTUTVUaLn6mhpqraL2q2Fczc0nHRTZbWU9p1pooyDpUdpmZwPjXxUoAl2PeQmvsoG0SjzPl0nJVdoeCWsl+SQQEBZUZovcHrQ1ksCogVN9qX36eRzu2Srq1YukZ0rBTMClIGiY5Z7LkfG+TR/lPmyeGHH+6uV/1p3yroMn369LhZfeWhoIyyxGL7WotV3mtP56H6/YnX/10sfRYokyVelmG8HyV0fSjQqX1f2lFI/YyyLl26uACXssaC+zne54vqMB23WApmqd8if4RFBV1Ut3Xr1s1loyrQqGC1jmXs54WCcPrT9VEcZRpq/yvIpc8Xn7ZZ2UraB2FdI7EBTH0GKABX3DWjLDsJXv+iz5BkK82xk8mTJ7uMadW7AFCRkCkFACmmYI/6o1B2QWn7QhHdvOnXcd14n3vuue7XWnVgri/bweZEas6nGxfd9OrXXXWIquX0q/Lxxx8fd936xVQ39sU1b1NmjLK0lLWkbCUFcPSLuYJZ+qVWTTKCzQH0pV1D3iszS1/edZOiJoxFNf+LpUCP1uc331N2TOyQ8LqB9DuUVcaGAnTaJjVjiEfvrUCMbpjVQbPWr6YPuknSdGWNiTJzlDWicuoLvDKeVEb16aVyxDa/LEtZta91k6mbSwVfgh3iKjvIb5qZSmXpU0rNdlQu3YjqvPGbgvmUveH316MAkoZCV3aB9rH2t27SdNwUJIgNdClrR+e5+qnSzacCHspECP6iX5p16vjpplaZASVl6Om9dPOrjBo/CKDj4HdO7Dd7VcBCgYd+/fq5gJyuQ227snaCAwQo4KjzVfPUx4uy0nRO6zzWuZZoE8uSKPClAIPeW4EQZa74w92rzMrIC9L1EWy+p46pdY0VVTcURfWQ9oH6KtK1r2CHggUKNKncsR1pq+7TjbquOwUO/Zv14DFTR/nK/FS/bgrWKsNMwQ8Fs1Rv6v9lpW3Tfvc7hC5KWa897fMHHnjAnRsK7isgE5uZoiCBMoSUKaugtI6RPheKG0hAFCBXZ9e6Foqq20pDGTTaPu1j1WnKWFK9rkCvzgMFabTNCuLoGOgc9ymIo+bjyvKM1zTPp/UocKR+EnUt65grQKWAmF//BesOBfX9c1NNOEXXjupq/aCj8uuHCQV1dC3GZm4m8xqJpX3Qt29f95mnz1QFE/V5oLIVRcsqyKrPAgW1VGdpgAwFr5Pdn1Oix86nHxp0/dKnFIAKJ93D/wFANrj33nu9HXbYITK0eWmG9pa3337b22uvvdxQ6m3btvXuvPNO78knn4warlzDmB9++OHeTjvt5FWvXt1r1aqVG1J92rRppXrPePNXr17tDRs2zGvfvr1bd8OGDb1evXp599xzjxt2W7Qdeu3dd9/tjRw50r2/hgfv06ePG867JP4Q7v6f3kfvp2G7NaS5T0NiB5fTfu3evbv33HPPRZUhOPS2/Pjjj27Yeg0xr/24zz77uOHtYy1ZssQ744wzXBm1DZ07dy40pHtpyho73LxP71G3bl3vl19+iSrXJZdcEne/lDQsvV5fu3btEocsLyt/PUX9aej5oBUrVnhnnXWWOx9r1arlHXTQQd6XX34Zd91vvvmmGwZe+1DDof/tb3+LnFdlWeeJJ57ohk/X8Ogl0bEpqkyx+9y/xvTe9evX9wYPHuwtXry40Dq3bt3q3X777W7dOof23HNPb9SoUV4iijqOr776atz9rOHdu3Xr5vZdgwYN3Db551RprpkgvUe89wrWB5dddpnXvHlzr1q1at6uu+7qroVt27bFrUtUdi2jbdS2xluvrjstq2tJ62zatKl3yCGHeI899lih7dK+iKV9pnLGXjc6r4Lb5V+7wWu6PNeev00l/fn1kc7vM88801u4cGGhdel88cugbT7iiCPcfluzZk3c/Vqcoo7huHHjvJycHO/++++PvI9/rvrH55133ilUbx188MHuPN68eXOR2xysa1XHDh8+3D3XdZrIPgr68MMPvd69e7vrWPXkMccc433//fdx66Rly5YVuy8SuUbiufXWW719993XXevajg4dOni33XZbVN0Ur35du3atOz56L11rAwcO9GbOnOmWu+OOO0rc/qLqAO1HHQNfosdO8vPz3XtpvwJARZOjf9IdGAOATKfMBP0yftddd0UN85xJlDWhvpv0K7f/q3imyqayVkbK2FIWio4P0kcZGRqoILapXybR6KbKHCvu67Qy95SZU5osn0yibCP9FVV+vz7N5FsSdTCvZo7KCBs8eHDo768sxvHjx7sMYDKlAFQ09CkFACFQswM1fdJNcuxoeQCSRx3jq7mPRlEDgLCp/oml5nxqLqkmnmFTM0I17Vcn9wSkAFRE9CkFACHRTTI3ykBqqRPfVatWpXszkEVZeSVlvqifv2C/e9lG/c0VN+KbOhBPR/ZQqigjWhlJyqBTf4XqWF1/6rOwVatWoW+P+jmM18cUAFQUBKUAAACAMojX6X8sBSOymTrFL44/8ESmUBBSnYprtEIFg1q3bu2aLpa0HwAgW9GnFAAAAAAAAEJHn1IAAAAAAAAIHUEpAAAAAAAAhC4r+5TSyFcLFy60OnXqMAoFAAAAAABAEqmnqNWrV1vz5s3dCKRFycqglAJS6Rj9AgAAAAAAIFvMnz/fWrZsWeT8rAxKKUPK3zl169ZN9+YAAAAAAABkjFWrVrlkID/+UpSsDEr5TfYUkCIoBQAAAAAAkHwldZlER+cAAAAAAAAIHUEpAAAAAAAAhI6gFAAAAAAAAEKXlX1KJWrr1q22efPmdG9G1qtWrZpVqVIl3ZsBAAAAAACSiKBUHJ7n2eLFi23lypXp3hT8v/r161vTpk1L7CQNAAAAAABUDgSl4vADUo0bN7ZatWoRCElzgHDdunW2dOlS97xZs2bp3iQAAAAAAJAEBKXiNNnzA1I77bRTujcHZpaXl+ceFZjScaEpHwAAAAAAlR8dncfw+5BShhQqDv940McXAAAAAACZgaBUEWiyV7FwPAAAAAAAyCwEpQAAAAAAABA6glIAAAAAAAAIHUGpDGreVtzfTTfdlO5NBAAAAAAAiGD0vQyxaNGiyP9ffvllu+GGG2zmzJmRaTvssEOh12zatMmqV68e2jYCAAAAAAD4yJTKEE2bNo381atXz2VHBacpKNW3b1+78MIL7dJLL7WGDRta//793Wvbtm1r9913X9T6unbtGsmu2rZtm40YMcLatWtneXl51qVLF3vttddK3KbPPvvMDjnkENtpp50KZW6tWrUqRXsCAAAAAABUBgSlsswzzzzjsqM++eQTe+SRRxJ6jQJSzz77rFv+u+++s8suu8yGDBliH3/8cZGv+eabb1wQrFu3bjZhwgR77733rEGDBi5IpUyuunXrJrFUAAAAAACgsqH5XmmsXVv0vCpVzGrWTGzZ3FyzvLzil61d21Jh1113tbvuuivh5Tdu3Gi33367ffjhh9azZ083beedd7aJEyfao48+agcddFDc11188cV2wgkn2D333OOe77HHHnbKKafY5MmT7aSTTnLT3nnnHbv88stdJtbVV19tZ599dlLKCAAAAAAAKj6CUqURp1+miKOOMhsz5vfnjRubrVsXf1kFcsaN+/1527Zmy5dHL+N5lgo9evQo1fKzZ8+2devW2WGHHVaoPyplQcWzZMkSF7SKzaSqXbu2a7onW7ZssaFDh9rYsWNdc0Nt1/HHH++a+gEAAAAAgMxHUCrLKDAUKzc317yYINjmzZvd45o1a9zjmDFjrEWLFlHL1KhRI+57KBtK2U/qeyp2+t577+3+/8UXX9iee+4ZWeeRRx5p77//vsumAgAAAACgItm6davrmkaDjDVr1sz69OljVdRiCuVCUKo0/j9AE1fsybh0afHN94LmzrV0atSoUdTofeqEfM6cOZFmdwo+zZs3r8imerEUkJK1a9danTp13P+nTZtm48ePt1tvvdU9X7hwYVSQS/9fsGBBUssFAAAAAEB5vfHGG67rmbmBe3cNGDZy5EjXbQ3Kjo7OS0NZRkX9BfuTKmnZYH9SRS0booMPPtiee+45F/X99ttv7fTTT49EfBVUuuKKK1zn5uok/ccff7QpU6bYgw8+6J7Hs99++7lR+q688kqbMWOGy7I69thj7YILLrD9998/1LIBAAAAAFCegNSgQYOsc+fONmnSJFu9erV71HNN13yUHZlSsGHDhrnMqKOPPtr173TLLbdEMqVEz5VNpVH4fvrpJ6tfv751797drr322rjr07KvvPKKiyTvtdde1rp1a7vwwgtdH1K+5s2bR2VG6f/77rtviksKAAAAAEDiTfZ0X6t75dGjR7uub0TJFno+cOBAl8Rx3HHH0ZSvjHK82M6EsoCapyn4UlBQYHXr1o2at2HDBheQadeundWMzX5C0qij844dO9q4ceMiHZ1/+umnRXZ0znEBAAAAAIRJ96v9+vVzmVHxWv1oeq9evdwAXn379k3LNlbGuEsQmVJIi6pVq7r2t7rA1QfVVVddxch7AAAAAIAKw+97uVOnTnHn+9ODfTSjdAhKIW3Uz5T+AAAAAACoaDTKnkyfPj1uppSmB5dD6dHROQAAAAAAQIw+ffq4UfZuv/32yCjzPj1Xv8vqYkbLoWwISgEAAAAAAMRQ5+Xqduadd95xnZoHR9/Tc02/55576OS8HGi+BwAAAABAyNatW2czZsxIePn169fb3LlzXeZOXl5ewq/r0KGD1apVq4xbiRNOOMFee+01NwqfOjX3KUNK0zUfZUdQCgAAAACAkCkgpVHIU23y5MnWvXv3lL9PJlPg6bjjjrMJEya4Ts3Vh5Sa7JEhVX4EpQAAAAAACJkymBQwSlR+fr4NGTLERo0aZR07dizV+6D8FIDq27dvujcj4xCUKoLneeneBARwPAAAAABkEjWpK0sGkwJSZD4hUxCUilGtWrVI+97StNNFaul4BI8PAAAAAADlQb9e6UdQKk5KXv369W3p0qXuuU6cnJycdG9WVmdIqaLQ8dBxoc0uAAAAACAZ6Ncr/QhKxdG0aVP36AemkH4KSPnHBQAAAACA8qJfr/QjKBW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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Saved box plot: sigma_boxplot_Expon_n2000.png\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Saved box plot: sigma_boxplot_Laplace_n2000.png\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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zZk2B2/HXHzNmjGtI1U821uuyYcMG79hjj/UOPfRQb+PGjV6mCd8XapR23313Fxn/6aef3LK33nrLpXB26NDBGz58uPvWpEePHm6K0cLSQTkGyPR2KPx3JkyY4Prp69o6++yzXRp8eNagZPp1kIy2iP2PkizRn4m4DlL/mYhjgExth/zf+/rrr7299trLdf3TNk877TR3Lfn862Ds2LFeixYtvCFDhniZJlntEMcg/RGUSjOPP/54qPELp/6x+mNdWD/l8GBIhQoVvLvvvnunF6f656oxHTFiRMTyTHLzzTd77733nus/rL7E+jA0b94895pSQS+44AJvjz328A4++GDvjDPOiEg5j8YxQKa3Q9GDUlauXNmNv6Btde7c2Q1Cqed+mrt/zXAdJLYtEvY/SrpEtEVcB6lth4RjgExvhxTAqlu3rjdw4EA3VpKupV69erngyv333x+xrrap61CDpmfq+Z+MdohjkN4ISqWAf3LPmDHD++KLL9xFF934lS1b1l0gK1eudIGNNm3auAtkZ7RNNZz33nuve66ZIh5++GHvyiuv9G655RZv4sSJEVFofRhQWqq+CciUfR9ef33o0aB5/hgG2t+KoKvx0yCHPv3B2bx5c74B9WLhGCDT2yHROX7DDTd4//jHP0LLcnJyvAcffNDdjGh5+HgBmXYdJLstYv+jpEhmW8R1kPrPRBwDlATJ/kykMY+UnROeUaUgy3XXXeeWa/vhVI7q1au73yvtgmiHhGOQ3ghKBcy/cNTY6QJTg6bURKUeqm+rf1E+88wzLrDRsWNHd0HoW6Z4tq3fa9iwoXf99de7vrddu3Z1A/Ep1VHL9X8N1hc+zan67uuDgS6+TKI/OprdQbMtiD/Ogd/4denSxe2T6Ah5YRFzjgEyvR0Kd95557nzP5w+QOgPv9Kx9aGO6yA5bZGw/5HugmiLuA5S2w4JxwCZ3g6NHz/eq1WrlnsMp7Gp9KW1rg9/e362j4K5Q4cO9TJJMtshjkF6IyiVZLFG/lfEVSmHzz33nHs+ZcoU18gpXVmj/vu/8+2337q+s/6Aj/FQEOTpp592fWuzs7O9v//97y69VBTN1+wmCopoQEm/fEqNvOuuu1xaY2nuF+7vb9VZDZr6Cu+2224RA+P5aeRq/JQuqhkYfv311yK9F8cAmd4O+R8OdMOhb7Z+/PHHfNfIZZdd5m5G/G8ZM+U6CKItYv8jXQXZFnEdpP4zEccA6Sjoz0Si9ffff38X5FBANpzGS6pXr5735JNPRiz//PPPS3WWTpD3ZsIxSG8EpZLIb8B0EXzwwQehC+uaa67x7rjjDvdcF1WzZs3clKN6VLBC3bt2loJY2B9//WHX4NrnnntuaNpMvyxz5851jaz67IdbtGiRV1rpw43SbaOnFn333Xe91q1bu288vvnmm3yN3/Lly11f48L6J0fjGCDT26Hoc1r999UVQ91Yw6+RpUuXuuvgk08+yfc7pVWQbZGw/5FOUtUWcR2kth0SjgHSRSo/E7344ovuXFfgI/o6OvXUUyO6uJZ2qWiHhGOQvghKJdmSJUu8mjVreq1atfJee+01t2zUqFHu26I//vjDO/DAA12kWDTgmi4UpSz/8MMPu/R+/h95zVqiyH74BafXxo0b56LEBUWYS9tgbtH10dSiAwYMiOi3rP2tgezC03D9xs+3K4EpjgEytR2S8G8V9a2XPtyFDwaqKXmVTagZmTLhOgi6LWL/Ix0F3RZxHaT+MxHHAOkmVfdmct9997mxqTRoevh1oK6C4ddiaZbKezPhGKSncoakmjt3rq1Zs8aaNm1qb731lpUpU8bOOuss99r777+voKDdeOON7vmWLVvspJNOskWLFlnVqlV36f2ysrLcNnfbbTfr2LFjvtfefvtt23PPPd1PQb9fmoTXZ/PmzTZ27FibPn26278DBgyw008/3bZv325Dhgyxxx57zK6++mrr1KmTVahQIWI7ZcuWLdJ7cgyQye2Q6D3y8vLs4IMPtg8//NBOOeUUW758ubvm2rVrZy+++KKtW7fOmjdvnhHXQdBtEfsfmdIW6TzXdqL/L1wHwbRDHAOUJEF8Jgq/DsLPYV1nuj/Q49dff23Vq1d3606ZMsWeffZZywRBfR7iGJQsf/3VQFJ069bNzj//fHdxlS9f3oYNG2avvvqqe23FihW2bNkyy87Ods/HjRtn7du3t4kTJ1qzZs1ibk8XTUHUiBb0B/yLL76wyy67zF5//XV76aWXrFq1aqH1S6vofVW5cmW755577LDDDrORI0favffe65brD9F1113n/kjdcccdNmfOnCJtNxzHAJnQDkk8567/YeDII4+0SZMmuecPPPCA9enTx7799lt3TdSsWbPQa6o0SEZbxP5HSZSMz0Q6r6dOnWq//fZbRDDEx3WQ/M9EHAOUJMm6N1Nw9ffff7cdO3aEzvlYf6uvuuoq++CDD6xDhw62fv169yW1tt+oUSPLzc210izZ92YcgxIs1alapXngPH/GgI8//tilK//3v//1TjvtNO/www/33n//fZci2qBBA2/vvfd2swloJoepU6fudPtKZbzppptc33zN4uaPWRS+TnhZNPXl2Wef7QaZ9LuM7Wpf3JIivP4aw0mpuv5g40rVvOqqq9zAmvfcc09E+uhFF10UcwDE6O1yDJCp7VD4e6jbxc7G/Qg/zzXWmsYP+fnnn90At9Gvl0bJaIvY/ygJgvpMNGbMGNe9Zvjw4QWum+nXQbI/E3EMkOntkIbm6NChg+sS2LRpUzdQ/6xZsyK6jkWf4/4YVf7y0n4NJLsd4hiUbASlEsS/IBYuXOimFA2n2QJatmzpBlXT/9X4qaH7z3/+4y7G6667zvVh1cj/O6NB39QnX4O8HX/88W6mAM0M8corr4TW8S8oXYD+zCWrVq1yDW3465lAgaNGjRp5jRs3doMV+n3HdRz+9a9/ucEL77333ny/V1jjxzFAJrdD/h92jf+h2SU17oJuLnb2O7FmUcqksUIS1Rax/1ESJLstCg+GlCtXLuImpqB1uQ4S+5mIY4B0F9S9mcaiqlq1qnfjjTd6n376qfvdgw8+2Ovevbv33XffRZzjenz00Ue9nJwcL1Ml496MY1DyEZRKIDV6e+65p/u2SMEKTRk6Z84c99qHH37ode3a1V1wauDU+HXr1s1755134t6+Lp7TTz/d69evX0SA5MILL/T222+/0LSa/gX38MMPu/JMmzYtYnlpFl4/7fNatWq52TX07cf111/vjo1mexDdyF199dWuQVS2U/Tvx8IxQKa3Q6JsP30bdfTRR3uVKlXy/vnPf0YMFhnNvw5mzpzpZYpktkXsf5QEyW6LlLGsbT/xxBOh7BvdUD7++OMuUKJZmmL9Pc6k6yDZn4k4Bkh3QXwmevrpp93f43Da9oknnugCI1OmTAktVzZPnTp1MmqWt2S3Q8IxKPkISiWQvv054IADXBctTWWpb7AVBR46dKhrBHVh+FPeKqKri0fL1q1bF9f2NW2mtqsocDg1pH379nXvHT6lrlJT1WVsZ9+il0avv/66a+gGDx4csVwflNT4ffbZZ6HuL4888kjcmUscA2R6O6QPBzqv//73v7vUa11LmsVEgZGCznPdpGTqdZDotoj9j5IimW2RviBSVw9lLWt2LFH3G00lvtdee3mVK1f2zjvvPO/7778P/U4m/z1OxmcijgFKgmR/JhJl3eicV4+IcOoaeNxxx7lZ5PzXdN28+eabhX6RVFol695MOAYlH0GpBFMfWUXa1bVLqaKKAivqrue64BSt9ae0nD179k7HAwm/EdHFqYycc88911u7dm3E64oAK0VRNyax+k5nUncx9R/WflYGgfoT+8EkP+1TmU6nnnpqaN/44rkZ5Bggk9shn24owqfv1h/9WIERv69+pl4HyWqL2P8oKZLZFikD+corr/RatGjhutGfc845ofFD9C28spcVNAmXiddBstoh4RigJEj2ZyL9Dd5nn33cOR+d1fPss8969evX92bMmJHv9zLpGkhmOyQcg5KPoFQSqEFTVLZHjx4uRXTjxo3uBkKR91dffbVYXbj0+xpHxE9pDKdlutgVYc4ksfalvv3QYHn6NuS3336LaHguu+wy7+STT97l9+MYINPboXD6UCGjRo0KBUb07ZM+WDzwwAOhb9AzQdBtkbD/kcltkbqBKfNBN5e//PJLxGvqUqZsHXUhy6Ru80G3QxwDZEo7FP16+HNdQ02aNImY+MinDJ7o7KDSLlntEMeg9CIolcSovBo+/ajvanFEX4A33HCDC4ro4g6PKGtso7Zt22ZUWnT4oHebN292f2R8+iZE6br68b/10A2c+o8r06koOAbI9HaosA9s/nXoB0YuueQS9+GgZs2arotZJgiiLWL/o6RK5mcifQP/9ddfh64D/ybn5ZdfdmOv6XrMFKn6TMQxQGlvhwqa9TZ89jZdW8rWUbDLvwZ0DSoQU9jMlKVNstohjkHpRlAqyY3fscce6/Xs2dMbO3bsLm3Dv9B0wYZ/CFA6tGY7ue+++9ysAmvWrHHfkCsg4k+vm0mUCqoGTfv6+eefDy0fMWKE60OuKV01q4YGtdt///1D2QXxfHPHMUCmt0PR10FhHxY++ugjlw6vVGlN9x3+WiZIVlvE/kdJl+jPRDuj4KyydzJxhqWgPhPtTCYfA5Sedmhns976wQ+NQ3XEEUe4rJz+/ft7zzzzjFu3bt26GfkFUSLbIY5B6UdQKoDGT6mhmt4yfAyQePh/+HWBKdVx5MiREa9rpgINKKmLul27dm56TT91OpPSpP/973+7sQxuu+0217ApU2DgwIGh17XfNPhm8+bNI/Zh+HgrBeEYINPboVjXgfrsx6KZly644AI3q4lmvAn/3UyQrLaI/Y/SIpGfiQq6DtQ154orrnDXgQY5zrS/x0F+JuIYIFPaoZ3Nehv+5c8tt9ziugq2adPGPfr3BZk0flEy2iGOQelGUCoASms+44wzQv1n4+FflMq4UdBD05jGMm/ePO+rr77yvvjii9CsAqX9gov+1l9RcA1c6KdoPvXUU67xu/POO0PrqJud0nWPPPLI0BTFO8se4Bgg09uholwHMn78eDeNrz/dcmm/DoJoi9j/KG2S+Zlo6tSpbgBjZSxnyk1Iun0mysRjgNLdDsU762149qCyAxW89bMES/s1kOx2iGNQ+hGUCog/q0M8wv/wt2zZ0qU++xTZ12DaOxtbpLQKr7fSP1955RX3TYc/SKFojKenn37ada3zZ3iQd99910XXlTK6sxROjgEyvR2K9zoIpz/8ytYJ/93SKoi2iP2P0irRn4mig7MrV67MiJuQdPpMlKnHAJnRDsU7622sbq2lPUswqHaIY1C6EZRKM4X94T/zzDO9vffe25s/f76XicKDPQMGDPDKly/vderUyTVwF110UcRAmmr8FKXX2Crh/Zhff/1176STTgqlk8fCMQC4DlLdFrH/gaJdB9E3HaX9C6J0/EyUaccAmWlns96q90SmCKodisYxKH0ISqUR/4+5Ug3322+/iD/8p59+uhsErqhdb0qjn376yevevbs3adIkN/vCa6+95hq/G2+8MeJbDzVMmuUhOmOgsEHIOQYA10Gq2yL2P8B1EC8+EwHJw6y36dMOReMYlC4EpdKMLlalMGpQtug//EWJIJcmSu1U32HRTHfHHHOM2yfhs7m8+eabocYvVtqmGr94Uzc5BgDXQarbIvY/wHUQC5+JgGAw623q2yGOQeYgKJVmNLPAsGHDQs81CF8m/+FX/+MKFSp4Y8aMcc8//PBD1+hoRhcNUhhOA+ZpNoZLL720WOOpcAwAroNUt0Xsf4DrIBqfiYBgMOtt6tshjkFmISiVBqKjxP7z3r17u776mfqHX/2OFWH3Z2/waZA7pWlefPHFEQPbyYsvvuimGC3qgHYcA4DrINVtEfsf4DooCJ+JgGAw623q2yGOQeYhKJVi4amFf/zxR+j/K1as8O6+++6M7auvb+UUhVe/4+jGUI2NZlwoU6aM17dvXzewXSzxNn4cA4DrINVtEfsf4DooCJ+JgGAw623q2yGOQWYiKBWwgi7G2267zc1iotkHxo0bV+iAb6Xd6NGjXRrowIEDI5arITrggANC0wx/+umnLlp/+eWXe4sXL457+xwDgOsg1W0R+x/gOogHn4mAYDDrberaIR/HIHOVMQRGQcCsrCz3/88//9x27NgR+v+7775rw4YNs8MOO8xGjhxpzz77rC1ZssQyUYMGDdx+mDx5sk2aNMktO+OMM2zhwoX2zjvvWK1atdy+69mzp3388cf29NNP2/Dhw+PaNscA4DpIdVvE/ge4DuLFZyIg+XQtlCtXztavX2+HHHKItWzZ0t5///3Q9fbjjz/al19+aU2aNLFMlMx2yMcxyGwEpQIS/of/jTfesB49eth7773nnm/ZssUOOuggq169ut1www12zDHH2OrVq92FuHHjRss0LVq0sOeff962bdtmd955p3Xt2tV+/fVX++CDD1xD5DdaeXl51rp1a5szZ471799/p9vlGABcB6lui9j/ANdBUfCZCEg+XQtbt2617t27W+PGjSOCIbNnz3aBlkaNGlmmSlY7FI5jkNkISgUg/A//a6+9Zr1797Z9993Xqlat6pbp4ps/f7698sor7rk+GCga/cMPP9iGDRssUxu/xx9/3DVOM2bMsAEDBrhGT42dvy+PO+4469Wrl1tXDaH/DV8sHAOA6yDVbRH7H+A62BV8JgKSb+nSpXbppZfaJ5984p7/7W9/CwVDFCTJdIluh2LhGGSwVPcfzCQamE0zExx44IFe27Ztvfbt27u+t/50mhoYbsSIEaH11R9Xg0pmsp9//tnr2bOnd9xxx3lfffVVaLme77PPPt62bduKtD2OAcB1kOq2iP0PcB3sCj4TAYnFTJOpb4c4BhAypQKiiPJdd93l+td+//339tRTT7lvpZ544glbuXKl+wZKP59++qk99thjod+rUKGCZbK9997b7SN9q/fAAw/Y+PHj7fTTT7dffvnFZs6caeXLl487Cs8xALgOUt0Wsf8BroNdxWciIHHCM3zWrl3rHvVc57/GM9L4RWTn/H97d/NiYxsGAPxGU8RKQymb2VCWxOwspCymiJqUkmKJCCXlD6CQrYgspmwsfCWJko9YsPKVHc3GwsdWmZ6363475x1ehznjnOc+c+b325w5zzlNZ+5rrud5us5931d3z0NiQJPaXOddvHix2T2gUe29d+9e7k7w6dOn5vuuXbtWDQ0N5ddCvPb48eNqeHi4Gh0dzY/tVpv71bt376qRkZFqYGCgWrlyZXNcWrX+FAOQB6XPRcYf5EE3uCeC9uk0WfY8FMSAVhSlOuz79+95quHY2NgPx2Ma9ODgYLNlZsPmzZurffv2/XBsYmKi+vjxY35s/E6q6s2bN9X+/fubJ7tWJz0xAHlQ+lxk/EEedJN7Ipi6ycWQu3fvNvMlfl61alX19evX6uTJk9WRI0eq06dPV+Pj4wU/bf+dh4IY8DuW73VQFPnmzZuXtm3bll6/ft2clhjHo5XmwoUL8yaRIboXhAULFqS5c/8LQ7w/ni9dujQ/xvP4naQ8jTM22GtsnBePPxMDkAelz0XGH+RBt7kngqnRabLseSiIAX+iKNVBjWSLriWnTp1Kz549yxfwOL569eq0Zs2atHfv3nzhb6zJjyRttLeMnyffCISfn/OvVic9MQB5UPpcZPxBHtTJPRH8mk6T9ZlKQUoMaGVOTJdq+SrTtmfPnvT+/ft07ty5vCFciIQbGRnJyblz58704sWL9OjRo/T8+fP8jRWdJQYgD0oz/iAPeoEYMJtdvnw550AUY799+5aLqydOnEibNm1KN27cSLdu3cozdGLD7hDF2mXLlqXjx4+X/uh9Qwz4HV93dElMlY5pjGfPnk3j4+P52PLly3NCRheBK1eu5KmJT548yRf+iYmJ0h+574gByIPSjD/Ig14gBsxWOk2WJwb8iZlSXXTmzJl8kV+7dm06cOBAWrFiRfO1uPAvWrQozZ8/P1/4rc/vDjEAeVCa8Qd50AvEgH536dKlPOsvlpI1lo3dv38/HT16NN25cyctXrw4v+/69evp4MGD6cKFC2nDhg3p8+fP6e3bt+nQoUN5+eqHDx/Sw4cP08DAQOk/acYRA6ZDUaoLJq+djWrvzZs305cvX/IUxY0bN7Z8L50jBiAPSjP+IA96gRgwG0QxNWbfxIycHTt2NI/H0rDdu3fnzf6XLFnSPL5ly5Zc/IjZOg2xkX8UaAcHB/PyMgXa9ogB0/XrHcn4K3Exb1zU45uo+Ebq6tWreer06OhoGhoaSseOHcsJ5sLfHWIA8qA04w/yoBeIAf2uVafJ+H+e3Gky9ixqbOz/u06TjeeKIVMnBvwNM6W66Odvm54+fZpevXqV1+vv2rUrrV+/vujnmw3EAORBacYf5EEvEAP63e3bt9PWrVvTgwcP0vDwcPN4bJ4d+xq9fPmyuU/R9u3b07p169Lhw4fNEOwgMWA6FKUAAACY8XSaLE8MaJfuezWbXANUDyxDDEAelGb8QR70AjGg3+g0WZ4Y0C4zpQAAAOgLOk2WJwa0Q1EKAACAGU2nyfLEgOlQlAIAAGDGm1zoiOVh0Wny/Pnz/+s0SfeIAe1SlAIAAKAv6DRZnhjQDkUpAAAAAGqn+x4AAAB9S6fJ8sSAVsyUAgAAAKB2ZkoBAAAAUDtFKQAAAABqpygFAAAAQO0UpQAAAAConaIUAAAAALVTlAIAAACgdopSAAAAANROUQoAAACA2ilKAQAAAFA7RSkAAAAAaqcoBQAAAEDtFKUAAAAASHX7B8SX8j7ymJcTAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for dist_name in DISTRIBUTIONS_TO_TEST.keys():\n",
+ " for n_samples in N_SAMPLES_LIST:\n",
+ " fig, ax = plt.subplots(figsize=(12, 7))\n",
+ "\n",
+ " plot_data = []\n",
+ " plot_labels = []\n",
+ " positions = []\n",
+ " current_pos = 1\n",
+ "\n",
+ " for sigma_0 in SIGMA_0_VALUES:\n",
+ " estimates_m = all_results[dist_name][n_samples][sigma_0]['matrix']\n",
+ " estimates_e = all_results[dist_name][n_samples][sigma_0]['empirical']\n",
+ "\n",
+ " plot_data.append(estimates_m)\n",
+ " plot_labels.append(f'Matrix\\n($\\\\sigma_0$={sigma_0})')\n",
+ " positions.append(current_pos)\n",
+ " current_pos += 1\n",
+ "\n",
+ "\n",
+ " plot_data.append(estimates_e)\n",
+ " plot_labels.append(f'Empirical\\n($\\\\sigma_0$={sigma_0})')\n",
+ " positions.append(current_pos)\n",
+ " current_pos += 1\n",
+ "\n",
+ "\n",
+ " line_pos = positions[-2] + 0.5 if len(positions) >= 2 else positions[-1]\n",
+ " ax.plot([line_pos - 0.5, line_pos + 0.5], [sigma_0, sigma_0], color='red', linestyle='--', linewidth=1)\n",
+ "\n",
+ " current_pos += 1\n",
+ "\n",
+ " bp = ax.boxplot(plot_data, positions=positions, patch_artist=True, showmeans=True, manage_ticks=False) \n",
+ "\n",
+ " colors = ['lightblue', 'lightgreen'] * (len(positions) // 2)\n",
+ "\n",
+ " for patch, color in zip(bp['boxes'], colors[:len(bp['boxes'])]):\n",
+ " patch.set_facecolor(color)\n",
+ "\n",
+ " ax.set_xticks(positions)\n",
+ " ax.set_xticklabels(plot_labels, rotation=45, ha=\"right\")\n",
+ " ax.set_ylabel('Оценка ($\\\\hat{\\\\sigma}$)')\n",
+ " ax.set_title(f'Оценки для {dist_name} распределения\\n(Размер выборки n={n_samples}, {M_SIMULATIONS} повторений для каждого sigma)')\n",
+ " ax.grid(axis='y', linestyle='--')\n",
+ "\n",
+ " ax.plot([], [], color='red', linestyle='--', label='True $\\\\sigma_0$')\n",
+ " ax.legend(loc='best')\n",
+ "\n",
+ " plt.tight_layout()\n",
+ " filename = f\"sigma_boxplot_{dist_name.replace('(', '').replace(')','').replace('.','').replace('=','')}_n{n_samples}.png\"\n",
+ " plt.savefig(os.path.join(OUTPUT_DIR, filename))\n",
+ " print(f\"Saved box plot: {filename}\")\n",
+ " plt.show() \n",
+ " plt.close(fig)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 376,
+ "id": "b161bd92",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "4.018534797611408"
+ ]
+ },
+ "execution_count": 376,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "import mpmath\n",
+ "\n",
+ "t_n = 0.8\n",
+ "n = 2000 \n",
+ "a = []\n",
+ "for _ in range(100):\n",
+ " Y = 2*np.random.normal(loc=0, scale=1, size=n)\n",
+ " exp_values = []\n",
+ " for i in range(n):\n",
+ " exp_values.append(float(mpmath.exp(t_n * Y[i])))\n",
+ " sigma_hat_squared = (2 / t_n**2) * np.log(np.mean(exp_values))\n",
+ " a.append(sigma_hat_squared)\n",
+ "np.mean(a)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 377,
+ "id": "f6af1f2c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "10.008135432336807"
+ ]
+ },
+ "execution_count": 377,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "n = 2000\n",
+ "t_n = 0.087 #рекомендовано из статьи\n",
+ "real_sigma = 10\n",
+ "a = []\n",
+ "for _ in range(100):\n",
+ " xi_normal = np.random.normal(loc=0, scale=1, size=n)\n",
+ "\n",
+ " #Y_i = xi + 5 * N(0, 1)\n",
+ " Y_normal_combined = xi_normal + real_sigma * np.random.normal(loc=0, scale=1, size=n)\n",
+ "\n",
+ " exp_values_normal_combined = np.exp(t_n * Y_normal_combined)\n",
+ " sigma_hat_squared_normal_combined = (2 / t_n**2) * np.log(np.mean(exp_values_normal_combined))\n",
+ " a.append(sigma_hat_squared_normal_combined**0.5)\n",
+ "\n",
+ "np.mean(a)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 378,
+ "id": "331f6941",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "sample = generate_nmm_sample(0.5, 2000, norm)\n",
+ "sigma_hat_matrix, k_used, l_used, eps_used = estimate_sigma_matrix(sample, 2000, SEARCH_AREA, A_PARAM, B_PARAM)\n",
+ "sigma_hat_empirical, t_used = estimate_sigma_empirical(sample, 2000, SEARCH_AREA, 0.9)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 379,
+ "id": "4e3fb057",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2.878787878787879"
+ ]
+ },
+ "execution_count": 379,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "sigma_hat_matrix"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 380,
+ "id": "3d7eec3f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "1.001376810113901"
+ ]
+ },
+ "execution_count": 380,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "sigma_hat_empirical"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 381,
+ "id": "75ca00c4",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.08718315467762154"
+ ]
+ },
+ "execution_count": 381,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "t_used"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.11.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/jupyter_examples/nmv_g_validation.ipynb b/jupyter_examples/nmv_g_validation.ipynb
new file mode 100644
index 0000000..30a6ff1
--- /dev/null
+++ b/jupyter_examples/nmv_g_validation.ipynb
@@ -0,0 +1,214 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Note: you may need to restart the kernel to use updated packages.\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pip install --quiet tqdm"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy.stats import expon, gamma, norm, invgamma\n",
+ "from tqdm import tqdm"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from scipy.stats import gamma as gamma_dist\n",
+ "from scipy.stats import expon\n",
+ "\n",
+ "from src.mixtures.nmv_mixture import NormalMeanVarianceMixtures\n",
+ "from src.generators.nmv_generator import NMVGenerator\n",
+ "from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def calculate_metrics(estimates, true_values):\n",
+ " \"\"\"\n",
+ " Calculate MSE, MAE, and Relative Error.\n",
+ " \"\"\"\n",
+ " mse = np.mean((estimates - true_values) ** 2)\n",
+ " mae = np.mean(np.abs(estimates - true_values))\n",
+ " relative_error = np.mean(np.abs(estimates - true_values) / (true_values + 1e-10))\n",
+ " return mse, mae, relative_error\n",
+ "\n",
+ "def plot_comparison(x_values, estimates1, estimates2, true_density, title):\n",
+ " \"\"\"\n",
+ " Plot comparison of two algorithms.\n",
+ " \"\"\"\n",
+ " plt.figure(figsize=(12, 6))\n",
+ " plt.plot(x_values, estimates1, 'bo-', label='Mellin')\n",
+ " plt.plot(x_values[6:], estimates2[6:], 'go-', label='PostWidder')\n",
+ " plt.plot(x_values, true_density(x_values), 'r--', label='True Density')\n",
+ " plt.title(title)\n",
+ " plt.xlabel('x')\n",
+ " plt.ylabel('Density')\n",
+ " plt.legend()\n",
+ " plt.grid(True)\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator\n",
+ "mu = 0.5\n",
+ "\n",
+ "mixture = NormalMeanVarianceMixtures(\"canonical\", alpha=0, mu=mu, distribution=expon)\n",
+ "generator = NMVGenerator()\n",
+ "sample = generator.canonical_generate(mixture, 10000)\n",
+ "\n",
+ "x_values = np.linspace(0.1, 3, 20)\n",
+ "estimator_given_mu = NMVSemiParametricEstimator(\n",
+ " \"g_estimation_given_mu\", {\"x_data\": x_values, \"u_value\": 7.6, \"v_value\": 0.9, \"mu\": mu, \"grid_size\": 200}\n",
+ ")\n",
+ "estimator_post_widder = NMVSemiParametricEstimator(\n",
+ " \"g_estimation_post_widder\", {\"x_data\": x_values, \"sigma\": 1, \"n\": 2, \"mu\": mu}\n",
+ ")\n",
+ "\n",
+ "result_given_mu = estimator_given_mu.estimate(sample)\n",
+ "result_post_widder = estimator_post_widder.estimate(sample)\n",
+ "\n",
+ "result_post_widder_float = [float(val) for val in result_post_widder.list_value]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Mellin:\n",
+ " MSE: 0.0042, MAE: 0.0557, Relative Error: 0.5261\n",
+ "PostWidder:\n",
+ " MSE: 0.0541, MAE: 0.1358, Relative Error: 0.5415\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Calculate metrics\n",
+ "mse_given_mu, mae_given_mu, rel_given_mu = calculate_metrics(result_given_mu.list_value, expon.pdf(x_values))\n",
+ "mse_post_widder, mae_post_widder, rel_post_widder = calculate_metrics(result_post_widder_float, expon.pdf(x_values))\n",
+ "\n",
+ "print(\"Mellin:\")\n",
+ "print(f\" MSE: {mse_given_mu:.4f}, MAE: {mae_given_mu:.4f}, Relative Error: {rel_given_mu:.4f}\")\n",
+ "print(\"PostWidder:\")\n",
+ "print(f\" MSE: {mse_post_widder:.4f}, MAE: {mae_post_widder:.4f}, Relative Error: {rel_post_widder:.4f}\")\n",
+ "\n",
+ "# Visualize results\n",
+ "plot_comparison(x_values, result_given_mu.list_value, result_post_widder_float, expon.pdf,\n",
+ " \"Экспоненциальное распределение\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from numpy import trapz\n",
+ "\n",
+ "def calculate_metrics_i(x_grid: np.ndarray, pdf_true: np.ndarray, pdf_est: np.ndarray):\n",
+ " metrics = {}\n",
+ " dx = x_grid[1] - x_grid[0]\n",
+ " pdf_diff_sq = (pdf_true - pdf_est)**2\n",
+ " pdf_diff_abs = np.abs(pdf_true - pdf_est)\n",
+ "\n",
+ " metrics['ISE'] = trapz(pdf_diff_sq, x_grid)\n",
+ " metrics['IAE'] = trapz(pdf_diff_abs, x_grid)\n",
+ "\n",
+ " return metrics"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{'ISE': 0.011139990821438803, 'IAE': 0.14708044839102255}"
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "calculate_metrics_i(x_values[6:], expon.pdf(x_values[6:]), result_post_widder_float[6:])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.11.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/jupyter_examples/nmv_mu_validation.ipynb b/jupyter_examples/nmv_mu_validation.ipynb
new file mode 100644
index 0000000..2758a23
--- /dev/null
+++ b/jupyter_examples/nmv_mu_validation.ipynb
@@ -0,0 +1,259 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "ffcea2c5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy.stats import gamma\n",
+ "import time\n",
+ "import pandas as pd\n",
+ "\n",
+ "\n",
+ "from src.mixtures.nmv_mixture import NormalMeanVarianceMixtures\n",
+ "from src.generators.nmv_generator import NMVGenerator\n",
+ "from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "272bde3d",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "REAL_MU = 2.0\n",
+ "SAMPLE_SIZES = [200, 500, 1000, 5000]\n",
+ "NUM_SIMULATIONS = 1000\n",
+ "\n",
+ "MIXING_DISTRIBUTION = gamma(a=2, scale=1.5)\n",
+ "\n",
+ "ESTIMATOR_PARAMS_MU = {\n",
+ " \"m\": 10,\n",
+ " \"tolerance\": 1e-5,\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "a4fa2446",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def generate_nmvm_samples(real_mu: float, n: int, mixing_dist) -> np.ndarray:\n",
+ " mixture = NormalMeanVarianceMixtures(\"canonical\", alpha=0, mu=real_mu, distribution=mixing_dist)\n",
+ " generator = NMVGenerator()\n",
+ " sample = generator.canonical_generate(mixture, n)\n",
+ " return sample"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "f3d63d41",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "n = 200. Время: 5.54 сек.\n",
+ "n = 500. Время: 14.79 сек.\n",
+ "n = 1000. Время: 29.15 сек.\n",
+ "n = 5000. Время: 185.60 сек.\n"
+ ]
+ }
+ ],
+ "source": [
+ "results_mu = {n: [] for n in SAMPLE_SIZES}\n",
+ "simulation_stats_mu = {n: {} for n in SAMPLE_SIZES}\n",
+ "\n",
+ "start_time_total = time.time()\n",
+ "\n",
+ "\n",
+ "estimator = NMVSemiParametricEstimator(\"mu_estimation\", ESTIMATOR_PARAMS_MU)\n",
+ "\n",
+ "for n in SAMPLE_SIZES:\n",
+ " estimates_mu_list = []\n",
+ " start_time_n = time.time()\n",
+ "\n",
+ " for i in range(NUM_SIMULATIONS):\n",
+ " sample = generate_nmvm_samples(REAL_MU, n, MIXING_DISTRIBUTION)\n",
+ "\n",
+ " estimate_result = estimator.estimate(sample)\n",
+ " estimates_mu_list.append(estimate_result.value)\n",
+ "\n",
+ "\n",
+ " results_mu[n] = np.array(estimates_mu_list)\n",
+ "\n",
+ " stats_n_mu = {'MAE': np.nan, 'MSE': np.nan, 'Std': np.nan}\n",
+ " if len(estimates_mu_list) > 0:\n",
+ " valid_estimates = np.array(estimates_mu_list)\n",
+ " stats_n_mu['MAE'] = np.mean(np.abs(valid_estimates - REAL_MU))\n",
+ " stats_n_mu['MSE'] = np.mean((valid_estimates - REAL_MU)**2)\n",
+ " stats_n_mu['Std'] = np.std(valid_estimates)\n",
+ "\n",
+ " simulation_stats_mu[n] = stats_n_mu\n",
+ " end_time_n = time.time()\n",
+ " print(f\"n = {n}. Время: {end_time_n - start_time_n:.2f} сек.\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "1fa92e97",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " n MAE MSE Std Dev\n",
+ " 200 1.8741 9.4513 2.6054\n",
+ " 500 0.7969 1.9534 1.2631\n",
+ "1000 0.4228 0.3680 0.5555\n",
+ "5000 0.1616 0.0425 0.2001\n"
+ ]
+ }
+ ],
+ "source": [
+ "stats_list_mu_df = []\n",
+ "for n in SAMPLE_SIZES:\n",
+ " stats = simulation_stats_mu[n]\n",
+ " stats_list_mu_df.append({\n",
+ " 'n': n,\n",
+ " 'MAE': f\"{stats['MAE']:.4f}\",\n",
+ " 'MSE': f\"{stats['MSE']:.4f}\",\n",
+ " 'Std Dev': f\"{stats['Std']:.4f}\",\n",
+ " })\n",
+ "\n",
+ "df_stats_mu = pd.DataFrame(stats_list_mu_df)\n",
+ "with pd.option_context('display.max_rows', None, 'display.max_columns', None, 'display.width', 1000):\n",
+ " print(df_stats_mu.to_string(index=False))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "25f9bb88",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig1, ax1 = plt.subplots(figsize=(10, 6)) \n",
+ "\n",
+ "data_for_boxplot = [results_mu[n] for n in SAMPLE_SIZES if len(results_mu[n]) > 0]\n",
+ "labels_boxplot = [f'n={n}' for n in SAMPLE_SIZES if len(results_mu[n]) > 0]\n",
+ "positions_boxplot = [i for i, n in enumerate(SAMPLE_SIZES) if len(results_mu[n]) > 0]\n",
+ "\n",
+ "bp = ax1.boxplot(data_for_boxplot, positions=positions_boxplot, labels=labels_boxplot,\n",
+ " patch_artist=True, showfliers=False, medianprops={'color': 'red', 'linewidth': 1.5})\n",
+ "colors = plt.cm.viridis(np.linspace(0, 1, len(data_for_boxplot)))\n",
+ "for patch, color in zip(bp['boxes'], colors):\n",
+ " patch.set_facecolor(color)\n",
+ " patch.set_alpha(0.7)\n",
+ "\n",
+ "ax1.axhline(REAL_MU, color='black', linestyle='--', linewidth=1.5, label=f'Истинное $\\mu_0$ = {REAL_MU:.2f}')\n",
+ "ax1.set_title('Распределение оценок $\\hat{\\mu}_n$')\n",
+ "ax1.set_xlabel('Размер выборки n')\n",
+ "ax1.set_ylabel('Оценка $\\hat{\\mu}_n$')\n",
+ "ax1.grid(True, linestyle=':', alpha=0.7)\n",
+ "ax1.legend()\n",
+ "ax1.set_xticks(positions_boxplot)\n",
+ "ax1.set_xticklabels(labels_boxplot)\n",
+ "fig1.tight_layout()\n",
+ "# plt.savefig('validation_mu_boxplot.png', dpi=300)\n",
+ "\n",
+ "\n",
+ "fig2, ax2 = plt.subplots(figsize=(8, 6)) \n",
+ "\n",
+ "maes = [simulation_stats_mu[n]['MAE'] for n in SAMPLE_SIZES]\n",
+ "mses = [simulation_stats_mu[n]['MSE'] for n in SAMPLE_SIZES]\n",
+ "\n",
+ "valid_mae_indices = [i for i, m in enumerate(maes) if not np.isnan(m)]\n",
+ "valid_mse_indices = [i for i, m in enumerate(mses) if not np.isnan(m)]\n",
+ "valid_n_mae = [SAMPLE_SIZES[i] for i in valid_mae_indices]\n",
+ "valid_n_mse = [SAMPLE_SIZES[i] for i in valid_mse_indices]\n",
+ "valid_maes = [maes[i] for i in valid_mae_indices]\n",
+ "valid_mses = [mses[i] for i in valid_mse_indices]\n",
+ "\n",
+ "\n",
+ "if valid_maes:\n",
+ " ax2.plot(valid_n_mae, valid_maes, marker='o', linestyle='-', color='blue', label='MAE')\n",
+ "if valid_mses:\n",
+ " ax2.plot(valid_n_mse, valid_mses, marker='s', linestyle='-', color='green', label='MSE')\n",
+ "\n",
+ "if not valid_maes and not valid_mses:\n",
+ " ax2.text(0.5, 0.5, 'Нет данных для построения графика ошибок', horizontalalignment='center', verticalalignment='center', transform=ax2.transAxes)\n",
+ "else:\n",
+ " ax2.set_title('Ошибки оценки $\\hat{\\mu}_n$ в зависимости от n')\n",
+ " ax2.set_xlabel('Размер выборки n')\n",
+ " ax2.set_ylabel('Значение ошибки')\n",
+ " ax2.grid(True, linestyle=':', alpha=0.7)\n",
+ " ax2.legend()\n",
+ " ax2.set_xticks(SAMPLE_SIZES)\n",
+ " ax2.set_xticklabels(SAMPLE_SIZES)\n",
+ "\n",
+ "fig2.tight_layout()\n",
+ "# plt.savefig('validation_mu_errors.png', dpi=300)\n",
+ "\n",
+ "plt.show() \n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "ea2c97d3",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.11.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/jupiter_examples/nmv_semiparametric_mixing_density_estimation_given_mu.ipynb b/jupyter_examples/nmv_semiparametric_mixing_density_estimation_given_mu.ipynb
similarity index 100%
rename from jupiter_examples/nmv_semiparametric_mixing_density_estimation_given_mu.ipynb
rename to jupyter_examples/nmv_semiparametric_mixing_density_estimation_given_mu.ipynb
diff --git a/jupiter_examples/nv_mixing_density.ipynb b/jupyter_examples/nv_mixing_density.ipynb
similarity index 100%
rename from jupiter_examples/nv_mixing_density.ipynb
rename to jupyter_examples/nv_mixing_density.ipynb
diff --git a/src/algorithms/__init__.py b/src/algorithms/__init__.py
deleted file mode 100644
index eaddba8..0000000
--- a/src/algorithms/__init__.py
+++ /dev/null
@@ -1,46 +0,0 @@
-from src.algorithms.semiparam_algorithms.nm_semi_param_algorithms.g_estimation_convolution import (
- NMSemiParametricGEstimation,
-)
-from src.algorithms.semiparam_algorithms.nm_semi_param_algorithms.sigma_estimation_eigenvalue_based import (
- SemiParametricMeanSigmaEstimationEigenvalueBased,
-)
-from src.algorithms.semiparam_algorithms.nm_semi_param_algorithms.sigma_estimation_empirical import (
- SemiParametricMeanSigmaEstimationEmpirical,
-)
-from src.algorithms.semiparam_algorithms.nv_semi_param_algorithms.g_estimation_given_mu import (
- SemiParametricNVEstimation,
-)
-from src.algorithms.semiparam_algorithms.nv_semi_param_algorithms.g_estimation_post_widder import (
- NVSemiParametricGEstimationPostWidder,
-)
-from src.algorithms.semiparam_algorithms.nvm_semi_param_algorithms.g_estimation_given_mu import (
- SemiParametricGEstimationGivenMu,
-)
-from src.algorithms.semiparam_algorithms.nvm_semi_param_algorithms.g_estimation_given_mu_rqmc_based import (
- SemiParametricGEstimationGivenMuRQMCBased,
-)
-from src.algorithms.semiparam_algorithms.nvm_semi_param_algorithms.g_estimation_post_widder import (
- SemiParametricGEstimationPostWidder,
-)
-from src.algorithms.semiparam_algorithms.nvm_semi_param_algorithms.mu_estimation import SemiParametricMuEstimation
-from src.register.algorithm_purpose import AlgorithmPurpose
-from src.register.register import Registry
-
-ALGORITHM_REGISTRY: Registry = Registry()
-ALGORITHM_REGISTRY.register("mu_estimation", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(SemiParametricMuEstimation)
-ALGORITHM_REGISTRY.register("g_estimation_given_mu", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(
- SemiParametricGEstimationGivenMu
-)
-ALGORITHM_REGISTRY.register("g_estimation_convolution", AlgorithmPurpose.NM_SEMIPARAMETRIC)(NMSemiParametricGEstimation)
-ALGORITHM_REGISTRY.register("sigma_estimation_eigenvalue_based", AlgorithmPurpose.NM_SEMIPARAMETRIC)(
- SemiParametricMeanSigmaEstimationEigenvalueBased
-)
-ALGORITHM_REGISTRY.register("sigma_estimation_empirical", AlgorithmPurpose.NM_SEMIPARAMETRIC)(
- SemiParametricMeanSigmaEstimationEmpirical
-)
-ALGORITHM_REGISTRY.register("g_estimation_given_mu_rqmc_based", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(
- SemiParametricGEstimationGivenMuRQMCBased
-)
-ALGORITHM_REGISTRY.register("g_estimation_post_widder", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(
- SemiParametricGEstimationPostWidder
-)
diff --git a/src/algorithms/support_algorithms/log_rqmc.py b/src/algorithms/support_algorithms/log_rqmc.py
deleted file mode 100644
index 4423294..0000000
--- a/src/algorithms/support_algorithms/log_rqmc.py
+++ /dev/null
@@ -1,121 +0,0 @@
-from typing import Callable
-
-import numpy as np
-import numpy._typing as tpg
-import scipy
-
-from src.algorithms.support_algorithms.rqmc import RQMC
-
-
-class LogRQMC(RQMC):
- def __init__(
- self,
- func: Callable,
- error_tolerance: float = 1e-6,
- count: int = 25,
- base_n: int = 2**6,
- i_max: int = 100,
- a: float = 0.00047,
- ):
- super().__init__(func, error_tolerance, count, base_n, i_max, a)
-
- @staticmethod
- def lse(args: tpg.NDArray) -> float:
- """
- Compute LSE
- Args:
- args (): Values
-
- Returns: LSE result
-
- """
- max_value = max(args)
- return max_value + np.log(np.sum(np.exp(args - max_value)))
-
- def _independent_estimator(self, values: np._typing.NDArray) -> float:
- """Apply function to row of matrix and find mean of row
-
- Args:
- values: row of random values matrix
-
- Returns: mean of row
-
- """
- vfunc = np.vectorize(self.func)
- return -np.log(len(values)) + self.lse(vfunc(values))
-
- def _estimator(self, random_matrix: np._typing.NDArray) -> tuple[float, np._typing.NDArray]:
- """Find mean of all rows
-
- Args:
- random_matrix: matrix of random values
-
- Returns: mean of all rows
-
- """
- values = np.array(list(map(self._independent_estimator, random_matrix)))
- return -np.log(self.count) + self.lse(values), values
-
- def _update_independent_estimator(self, i: int, old_value: float, new_values: np._typing.NDArray) -> float:
- """Update mean of row
-
- Args:
- i: step count
- old_value: previous value of row on i-1 step
- new_values: new generated row of random values
-
- Returns: Updated mean of row
-
- """
-
- return -np.log(i + 1) + self.lse(
- np.array(i * [old_value] + [self._independent_estimator(new_values[i * self.base_n :])])
- )
-
- def _update(
- self, j: int, old_values: np._typing.NDArray, random_matrix: np._typing.NDArray
- ) -> tuple[float, np._typing.NDArray]:
- """Update mean of all rows
-
- Args:
- j: step count
- old_values: previous values of row on i-1 step
- random_matrix: new generated matrix of random values
-
- Returns:Updated mean of all rows
-
- """
- values = []
- for i in range(self.count):
- old_value, new_values = old_values[i], random_matrix[i]
- value = self._update_independent_estimator(j, old_value, new_values)
- values.append(value)
- np_values = np.array(values)
- return -np.log(self.count) + self.lse(np_values), np_values
-
- def rqmc(self) -> tuple[float, float]:
- """Main function of algorithm
-
- Returns: approximation for integral of function from 0 to 1
-
- """
- sobol_sampler = scipy.stats.qmc.Sobol(d=1, scramble=False)
- sobol_sample = np.repeat(sobol_sampler.random(self.base_n).transpose(), self.count, axis=0)
- xor_sample = np.array(np.random.rand(1, self.count)[0])
- sample = self._digital_shift(sobol_sample, xor_sample)
- approximation, values = self._estimator(sample)
- current_error_tolerance = self._sigma(values, approximation) * self.z
- for i in range(1, self.i_max):
- if current_error_tolerance < self.error_tolerance:
- return approximation, current_error_tolerance
- sobol_sampler.reset()
- sobol_sample = np.repeat(sobol_sampler.random(self.base_n * (i + 1)).transpose(), self.count, axis=0)
- sample = self._digital_shift(sobol_sample, xor_sample)
- approximation, values = self._update(i, values, sample)
- current_error_tolerance = self._sigma(values, approximation) * self.z
- return approximation, current_error_tolerance
-
-
-if __name__ == "__main__":
- log_rqmc = LogRQMC(lambda x: x**3 - x**2 + 1, i_max=100)
- print(log_rqmc())
diff --git a/src/estimators/abstract_estimator.py b/src/estimators/abstract_estimator.py
index 5afaea2..6bee8d3 100644
--- a/src/estimators/abstract_estimator.py
+++ b/src/estimators/abstract_estimator.py
@@ -2,7 +2,7 @@
from numpy import _typing
-from src.algorithms import ALGORITHM_REGISTRY
+from src.procedures import ALGORITHM_REGISTRY
from src.estimators.estimate_result import EstimateResult
from src.register.algorithm_purpose import AlgorithmPurpose
@@ -14,7 +14,7 @@ class AbstractEstimator:
algorithm_name: A string indicating chosen algorithm.
params: A dictionary of algorithm parameters.
estimate_result: Estimation result.
- _registry: Registry that contains classes of all algorithms.
+ _registry: Registry that contains classes of all procedures.
_purpose: Defines purpose of algorithm, one of the registry key.
"""
@@ -47,7 +47,7 @@ def set_params(self, algorithm_name: str, params: dict | None = None) -> Self:
return self
def get_available_algorithms(self) -> list[str]:
- """Get all algorithms that can be used for current estimator class"""
+ """Get all procedures that can be used for current estimator class"""
return [key[0] for key in self._registry.register_of_names.keys() if key[1] == self._purpose]
def estimate(self, sample: _typing.ArrayLike) -> EstimateResult:
diff --git a/src/estimators/semiparametric/abstract_semiparametric_estimator.py b/src/estimators/semiparametric/abstract_semiparametric_estimator.py
index b26db4b..466f295 100644
--- a/src/estimators/semiparametric/abstract_semiparametric_estimator.py
+++ b/src/estimators/semiparametric/abstract_semiparametric_estimator.py
@@ -4,7 +4,7 @@
from src.estimators.estimate_result import EstimateResult
-class AbstractSemiParametricEstimator(AbstractEstimator):
+class AbstractSemiparEstim(AbstractEstimator):
def __init__(self, algorithm_name: str, params: dict | None = None) -> None:
super().__init__(algorithm_name, params)
diff --git a/src/estimators/semiparametric/nm_semiparametric_estimator.py b/src/estimators/semiparametric/nm_semiparametric_estimator.py
index 958ec5c..0513521 100644
--- a/src/estimators/semiparametric/nm_semiparametric_estimator.py
+++ b/src/estimators/semiparametric/nm_semiparametric_estimator.py
@@ -1,11 +1,11 @@
from numpy import _typing
from src.estimators.estimate_result import EstimateResult
-from src.estimators.semiparametric.abstract_semiparametric_estimator import AbstractSemiParametricEstimator
+from src.estimators.semiparametric.abstract_semiparametric_estimator import AbstractSemiparEstim
from src.register.algorithm_purpose import AlgorithmPurpose
-class NMSemiParametricEstimator(AbstractSemiParametricEstimator):
+class NMSemiparEstim(AbstractSemiparEstim):
def __init__(self, algorithm_name: str, params: dict | None = None) -> None:
super().__init__(algorithm_name, params)
self._purpose = AlgorithmPurpose.NM_SEMIPARAMETRIC
diff --git a/src/estimators/semiparametric/nmv_semiparametric_estimator.py b/src/estimators/semiparametric/nmv_semiparametric_estimator.py
index e1f456d..93403e9 100644
--- a/src/estimators/semiparametric/nmv_semiparametric_estimator.py
+++ b/src/estimators/semiparametric/nmv_semiparametric_estimator.py
@@ -1,11 +1,11 @@
from numpy import _typing
from src.estimators.estimate_result import EstimateResult
-from src.estimators.semiparametric.abstract_semiparametric_estimator import AbstractSemiParametricEstimator
+from src.estimators.semiparametric.abstract_semiparametric_estimator import AbstractSemiparEstim
from src.register.algorithm_purpose import AlgorithmPurpose
-class NMVSemiParametricEstimator(AbstractSemiParametricEstimator):
+class NMVSemiparEstim(AbstractSemiparEstim):
def __init__(self, algorithm_name: str, params: dict | None = None) -> None:
super().__init__(algorithm_name, params)
self._purpose = AlgorithmPurpose.NMV_SEMIPARAMETRIC
diff --git a/src/estimators/semiparametric/nv_semiparametric_estimator.py b/src/estimators/semiparametric/nv_semiparametric_estimator.py
index 95f0ce5..d2ec1d8 100644
--- a/src/estimators/semiparametric/nv_semiparametric_estimator.py
+++ b/src/estimators/semiparametric/nv_semiparametric_estimator.py
@@ -1,11 +1,11 @@
from numpy import _typing
from src.estimators.estimate_result import EstimateResult
-from src.estimators.semiparametric.abstract_semiparametric_estimator import AbstractSemiParametricEstimator
+from src.estimators.semiparametric.abstract_semiparametric_estimator import AbstractSemiparEstim
from src.register.algorithm_purpose import AlgorithmPurpose
-class NVSemiParametricEstimator(AbstractSemiParametricEstimator):
+class NVSemiparEstim(AbstractSemiparEstim):
def __init__(self, algorithm_name: str, params: dict | None = None) -> None:
super().__init__(algorithm_name, params)
self._purpose = AlgorithmPurpose.NV_SEMIPARAMETRIC
diff --git a/src/generators/nm_generator.py b/src/generators/nm_generator.py
index 4c95b0f..5ecfe4a 100644
--- a/src/generators/nm_generator.py
+++ b/src/generators/nm_generator.py
@@ -9,7 +9,7 @@
class NMGenerator(AbstractGenerator):
@staticmethod
- def classical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
+ def generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
"""Generate a sample of given size. Classical form of NMM
Args:
@@ -27,25 +27,6 @@ def classical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
raise ValueError("Mixture must be NormalMeanMixtures")
mixing_values = mixture.params.distribution.rvs(size=size)
normal_values = scipy.stats.norm.rvs(size=size)
+ if mixture.mixture_form == "canonical":
+ return mixing_values + mixture.params.sigma * normal_values
return mixture.params.alpha + mixture.params.beta * mixing_values + mixture.params.gamma * normal_values
-
- @staticmethod
- def canonical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
- """Generate a sample of given size. Canonical form of NMM
-
- Args:
- mixture: Normal Mean Mixture
- size: length of sample
-
- Returns: sample of given size
-
- Raises:
- ValueError: If mixture is not a Normal Mean Mixture
-
- """
-
- if not isinstance(mixture, NormalMeanMixtures):
- raise ValueError("Mixture must be NormalMeanMixtures")
- mixing_values = mixture.params.distribution.rvs(size=size)
- normal_values = scipy.stats.norm.rvs(size=size)
- return mixing_values + mixture.params.sigma * normal_values
diff --git a/src/generators/nmv_generator.py b/src/generators/nmv_generator.py
index 5ff3221..8270a1a 100644
--- a/src/generators/nmv_generator.py
+++ b/src/generators/nmv_generator.py
@@ -9,7 +9,7 @@
class NMVGenerator(AbstractGenerator):
@staticmethod
- def classical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
+ def generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
"""Generate a sample of given size. Classical form of NMVM
Args:
@@ -27,29 +27,10 @@ def classical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
raise ValueError("Mixture must be NormalMeanMixtures")
mixing_values = mixture.params.distribution.rvs(size=size)
normal_values = scipy.stats.norm.rvs(size=size)
+ if mixture.mixture_form == "canonical":
+ return mixture.params.alpha + mixture.params.mu * mixing_values + (mixing_values ** 0.5) * normal_values
return (
mixture.params.alpha
+ mixture.params.beta * mixing_values
+ mixture.params.gamma * (mixing_values**0.5) * normal_values
- )
-
- @staticmethod
- def canonical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
- """Generate a sample of given size. Canonical form of NMVM
-
- Args:
- mixture: Normal Mean Variance Mixtures
- size: length of sample
-
- Returns: sample of given size
-
- Raises:
- ValueError: If mixture type is not Normal Mean Variance Mixtures
-
- """
-
- if not isinstance(mixture, NormalMeanVarianceMixtures):
- raise ValueError("Mixture must be NormalMeanMixtures")
- mixing_values = mixture.params.distribution.rvs(size=size)
- normal_values = scipy.stats.norm.rvs(size=size)
- return mixture.params.alpha + mixture.params.mu * mixing_values + (mixing_values**0.5) * normal_values
+ )
\ No newline at end of file
diff --git a/src/generators/nv_generator.py b/src/generators/nv_generator.py
index faa55f5..712e918 100644
--- a/src/generators/nv_generator.py
+++ b/src/generators/nv_generator.py
@@ -9,7 +9,7 @@
class NVGenerator(AbstractGenerator):
@staticmethod
- def classical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
+ def generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
"""Generate a sample of given size. Classical form of NVM
Args:
@@ -27,25 +27,6 @@ def classical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
raise ValueError("Mixture must be NormalMeanMixtures")
mixing_values = mixture.params.distribution.rvs(size=size)
normal_values = scipy.stats.norm.rvs(size=size)
- return mixture.params.alpha + mixture.params.gamma * (mixing_values**0.5) * normal_values
-
- @staticmethod
- def canonical_generate(mixture: AbstractMixtures, size: int) -> tpg.NDArray:
- """Generate a sample of given size. Canonical form of NVM
-
- Args:
- mixture: Normal Variance Mixtures
- size: length of sample
-
- Returns: sample of given size
-
- Raises:
- ValueError: If mixture type is not Normal Variance Mixtures
-
- """
-
- if not isinstance(mixture, NormalVarianceMixtures):
- raise ValueError("Mixture must be NormalMeanMixtures")
- mixing_values = mixture.params.distribution.rvs(size=size)
- normal_values = scipy.stats.norm.rvs(size=size)
- return mixture.params.alpha + (mixing_values**0.5) * normal_values
+ if mixture.mixture_form == "canonical":
+ return mixture.params.alpha + (mixing_values ** 0.5) * normal_values
+ return mixture.params.alpha + mixture.params.gamma * (mixing_values**0.5) * normal_values
\ No newline at end of file
diff --git a/src/mixtures/abstract_mixture.py b/src/mixtures/abstract_mixture.py
index 13c8e42..de31713 100644
--- a/src/mixtures/abstract_mixture.py
+++ b/src/mixtures/abstract_mixture.py
@@ -1,10 +1,13 @@
from abc import ABCMeta, abstractmethod
from dataclasses import fields
-from typing import Any
+from typing import Any, List, Tuple, Union, Dict, Type
+import numpy as np
+from numpy.typing import NDArray
from scipy.stats import rv_continuous
from scipy.stats.distributions import rv_frozen
+from src.procedures.support.integrator import Integrator
class AbstractMixtures(metaclass=ABCMeta):
"""Base class for Mixtures"""
@@ -12,14 +15,21 @@ class AbstractMixtures(metaclass=ABCMeta):
_classical_collector: Any
_canonical_collector: Any
- @abstractmethod
- def __init__(self, mixture_form: str, **kwargs: Any) -> None:
+ def __init__(
+ self,
+ mixture_form: str,
+ **kwargs: Any
+ ) -> None:
"""
-
Args:
- mixture_form: Form of Mixture classical or Canonical
- **kwargs: Parameters of Mixture
+ mixture_form: Form of Mixture classical or canonical
+ integrator_cls: Class implementing Integrator protocol (default: RQMCIntegrator)
+ integrator_params: Parameters for integrator constructor (default: {{}})
+ **kwargs: Parameters of Mixture (alpha, gamma, etc.)
"""
+ self.mixture_form = mixture_form
+
+
if mixture_form == "classical":
self.params = self._params_validation(self._classical_collector, kwargs)
elif mixture_form == "canonical":
@@ -28,40 +38,92 @@ def __init__(self, mixture_form: str, **kwargs: Any) -> None:
raise AssertionError(f"Unknown mixture form: {mixture_form}")
@abstractmethod
- def compute_moment(self, n: int, params: dict) -> tuple[float, float]: ...
+ def _compute_moment(self, n: int, integrator: Integrator) -> Tuple[float, float]:
+ ...
+
+ def compute_moment(
+ self,
+ x: Union[List[int], int, NDArray[np.float64]],
+ integrator: Integrator
+ ) -> Union[List[Tuple[float, float]], Tuple[float, float], NDArray[Any]]:
+ if isinstance(x, np.ndarray):
+ return np.array([self._compute_moment(xp, integrator) for xp in x], dtype=object)
+ elif isinstance(x, list):
+ return [self._compute_moment(xp, integrator) for xp in x]
+ elif isinstance(x, int):
+ return self._compute_moment(x, integrator)
+ else:
+ raise TypeError(f"Unsupported type for x: {type(x)}")
@abstractmethod
- def compute_cdf(self, x: float, params: dict) -> tuple[float, float]: ...
+ def _compute_pdf(self, x: float, integrator: Integrator) -> Tuple[float, float]:
+ ...
+
+ def compute_pdf(
+ self,
+ x: Union[List[float], float, NDArray[np.float64]],
+ integrator: Integrator
+ ) -> Union[List[Tuple[float, float]], Tuple[float, float], NDArray[Any]]:
+ if isinstance(x, np.ndarray):
+ return np.array([self._compute_pdf(xp, integrator) for xp in x], dtype=object)
+ elif isinstance(x, list):
+ return [self._compute_pdf(xp, integrator) for xp in x]
+ elif isinstance(x, float):
+ return self._compute_pdf(x, integrator)
+ else:
+ raise TypeError(f"Unsupported type for x: {type(x)}")
@abstractmethod
- def compute_pdf(self, x: float, params: dict) -> tuple[float, float]: ...
+ def _compute_logpdf(self, x: float, integrator: Integrator) -> Tuple[float, float]:
+ ...
+
+ def compute_logpdf(
+ self,
+ x: Union[List[float], float, NDArray[np.float64]],
+ integrator: Integrator
+ ) -> Union[List[Tuple[float, float]], Tuple[float, float], NDArray[Any]]:
+ if isinstance(x, np.ndarray):
+ return np.array([self._compute_logpdf(xp, integrator) for xp in x], dtype=object)
+ elif isinstance(x, list):
+ return [self._compute_logpdf(xp, integrator) for xp in x]
+ elif isinstance(x, float):
+ return self._compute_logpdf(x, integrator)
+ else:
+ raise TypeError(f"Unsupported type for x: {type(x)}")
@abstractmethod
- def compute_logpdf(self, x: float, params: dict) -> tuple[float, float]: ...
-
- def _params_validation(self, data_collector: Any, params: dict[str, float | rv_continuous | rv_frozen]) -> Any:
- """Mixture Parameters Validation
-
- Args:
- data_collector: Dataclass that collect parameters of Mixture
- params: Input parameters
-
- Returns: Instance of dataclass
-
- Raises:
- ValueError: If given parameters is unexpected
- ValueError: If parameter type is invalid
- ValueError: If parameters age not given
-
- """
-
+ def _compute_cdf(self, x: float, integrator: Integrator) -> Tuple[float, float]:
+ ...
+
+ def compute_cdf(
+ self,
+ x: Union[List[float], float, NDArray[np.float64]],
+ integrator: Integrator
+ ) -> Union[List[Tuple[float, float]], Tuple[float, float], NDArray[Any]]:
+ if isinstance(x, np.ndarray):
+ return np.array([self._compute_cdf(xp, integrator) for xp in x], dtype=object)
+ elif isinstance(x, list):
+ return [self._compute_cdf(xp, integrator) for xp in x]
+ elif isinstance(x, float):
+ return self._compute_cdf(x, integrator)
+ else:
+ raise TypeError(f"Unsupported type for x: {type(x)}")
+
+ def _params_validation(
+ self,
+ data_collector: Any,
+ params: dict[str, float | rv_continuous | rv_frozen]
+ ) -> Any:
+ """Mixture Parameters Validation"""
dataclass_fields = fields(data_collector)
if len(params) != len(dataclass_fields):
raise ValueError(f"Expected {len(dataclass_fields)} arguments, got {len(params)}")
- names_and_types = dict((field.name, field.type) for field in dataclass_fields)
- for pair in params.items():
- if pair[0] not in names_and_types:
- raise ValueError(f"Unexpected parameter {pair[0]}")
- if not isinstance(pair[1], names_and_types[pair[0]]):
- raise ValueError(f"Type missmatch: {pair[0]} should be {names_and_types[pair[0]]}, not {type(pair[1])}")
+ names_and_types = {field.name: field.type for field in dataclass_fields}
+ for name, value in params.items():
+ if name not in names_and_types:
+ raise ValueError(f"Unexpected parameter {name}")
+ if not isinstance(value, names_and_types[name]):
+ raise ValueError(
+ f"Type mismatch: {name} should be {names_and_types[name]}, not {type(value)}"
+ )
return data_collector(**params)
diff --git a/src/mixtures/nm_mixture.py b/src/mixtures/nm_mixture.py
index 33c7580..1f1e15f 100644
--- a/src/mixtures/nm_mixture.py
+++ b/src/mixtures/nm_mixture.py
@@ -1,261 +1,106 @@
from dataclasses import dataclass
-from typing import Any
+from typing import Any, Type, Dict, Tuple
import numpy as np
-from scipy.integrate import quad
from scipy.special import binom
from scipy.stats import norm, rv_continuous
from scipy.stats.distributions import rv_frozen
-from src.algorithms.support_algorithms.log_rqmc import LogRQMC
-from src.algorithms.support_algorithms.rqmc import RQMC
+from src.procedures.support.integrator import Integrator
+from src.procedures.support.rqmc import RQMCIntegrator
+from src.procedures.support.rqmc import RQMC
+from src.procedures.support.log_rqmc import LogRQMCIntegrator
+from src.procedures.support.quad_integrator import QuadIntegrator
from src.mixtures.abstract_mixture import AbstractMixtures
-
@dataclass
class _NMMClassicDataCollector:
- """TODO: Change typing from float | int | etc to Protocol with __addition__ __multiplication__ __subtraction__"""
-
- """Data Collector for parameters of classical NMM"""
alpha: float | int | np.int64
- beta: float | int | np.int64
+ beta: float | int | np.int64
gamma: float | int | np.int64
distribution: rv_frozen | rv_continuous
-
@dataclass
class _NMMCanonicalDataCollector:
- """TODO: Change typing from float | int | etc to Protocol with __addition__ __multiplication__ __subtraction__"""
-
- """Data Collector for parameters of canonical NMM"""
sigma: float | int | np.int64
distribution: rv_frozen | rv_continuous
-
class NormalMeanMixtures(AbstractMixtures):
_classical_collector = _NMMClassicDataCollector
_canonical_collector = _NMMCanonicalDataCollector
- def __init__(self, mixture_form: str, **kwargs: Any) -> None:
- """
- Read Doc of Parent Method
- """
-
+ def __init__(
+ self,
+ mixture_form: str,
+ **kwargs: Any
+ ) -> None:
super().__init__(mixture_form, **kwargs)
def _params_validation(self, data_collector: Any, params: dict[str, float | rv_continuous | rv_frozen]) -> Any:
- """
- Read parent method doc
-
- Raises:
- ValueError: If canonical Mixture has negative sigma parameter
-
- """
-
data_class = super()._params_validation(data_collector, params)
if hasattr(data_class, "sigma") and data_class.sigma <= 0:
- raise ValueError("Sigma cant be zero or negative")
+ raise ValueError("Sigma can't be zero or negative")
if hasattr(data_class, "gamma") and data_class.gamma == 0:
- raise ValueError("Gamma cant be zero")
+ raise ValueError("Gamma can't be zero")
return data_class
- def _classical_moment(self, n: int, params: dict) -> tuple[float, float]:
- """
- Compute n-th moment of classical NMM
-
- Args:
- n (): Moment ordinal
- params (): Parameters of integration algorithm
-
- Returns: moment approximation and error tolerance
-
- """
- mixture_moment = 0
- error_tolerance = 0
- for k in range(0, n + 1):
- for l in range(0, k + 1):
- coefficient = binom(n, n - k) * binom(k, k - l) * (self.params.beta ** (k - l)) * (self.params.gamma**l)
- mixing_moment = quad(lambda u: self.params.distribution.ppf(u) ** (k - l), 0, 1, **params)
- error_tolerance += (self.params.beta ** (k - l)) * mixing_moment[1]
- mixture_moment += coefficient * (self.params.alpha ** (n - k)) * mixing_moment[0] * norm.moment(l)
- return mixture_moment, error_tolerance
-
- def _canonical_moment(self, n: int, params: dict) -> tuple[float, float]:
- """
- Compute n-th moment of canonical NMM
-
- Args:
- n (): Moment ordinal
- params (): Parameters of integration algorithm
-
- Returns: moment approximation and error tolerance
-
- """
- mixture_moment = 0
- error_tolerance = 0
- for k in range(0, n + 1):
- coefficient = binom(n, n - k) * (self.params.sigma**k)
- mixing_moment = quad(lambda u: self.params.distribution.ppf(u) ** (n - k), 0, 1, **params)
- error_tolerance += mixing_moment[1]
- mixture_moment += coefficient * mixing_moment[0] * norm.moment(k)
- return mixture_moment, error_tolerance
-
- def compute_moment(self, n: int, params: dict) -> tuple[float, float]:
- """
- Compute n-th moment of NMM
-
- Args:
- n (): Moment ordinal
- params (): Parameters of integration algorithm
-
- Returns: moment approximation and error tolerance
-
- """
- if isinstance(self.params, _NMMClassicDataCollector):
- return self._classical_moment(n, params)
- return self._canonical_moment(n, params)
-
- def _canonical_compute_cdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Equation for canonical cdf
- Args:
- x (): point
- params (): parameters of RQMC algorithm
-
- Returns: computed cdf and error tolerance
-
- """
- rqmc = RQMC(lambda u: norm.cdf((x - self.params.distribution.ppf(u)) / np.abs(self.params.sigma)), **params)
- return rqmc()
-
- def _classical_compute_cdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Equation for classic cdf
- Args:
- x (): point
- params (): parameters of RQMC algorithm
-
- Returns: computed cdf and error tolerance
-
- """
- rqmc = RQMC(
- lambda u: norm.cdf(
- (x - self.params.alpha - self.params.beta * self.params.distribution.ppf(u)) / np.abs(self.params.gamma)
- ),
- **params
- )
- return rqmc()
-
- def compute_cdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Choose equation for cdf estimation depends on Mixture form
- Args:
- x (): point
- params (): parameters of RQMC algorithm
-
- Returns: Computed pdf and error tolerance
-
- """
- if isinstance(self.params, _NMMCanonicalDataCollector):
- return self._canonical_compute_cdf(x, params)
- return self._classical_compute_cdf(x, params)
-
- def _canonical_compute_pdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Equation for canonical pdf
- Args:
- x (): point
- params (): parameters of RQMC algorithm
-
- Returns: computed pdf and error tolerance
-
- """
- rqmc = RQMC(
- lambda u: (1 / np.abs(self.params.sigma))
- * norm.pdf((x - self.params.distribution.ppf(u)) / np.abs(self.params.sigma)),
- **params
- )
- return rqmc()
-
- def _classical_compute_pdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Equation for classic pdf
- Args:
- x (): point
- params (): parameters of RQMC algorithm
-
- Returns: computed pdf and error tolerance
-
- """
- rqmc = RQMC(
- lambda u: (1 / np.abs(self.params.gamma))
- * norm.pdf(
- (x - self.params.alpha - self.params.beta * self.params.distribution.ppf(u)) / np.abs(self.params.gamma)
- ),
- **params
- )
- return rqmc()
-
- def compute_pdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Choose equation for pdf estimation depends on Mixture form
- Args:
- x (): point
- params (): parameters of RQMC algorithm
-
- Returns: Computed pdf and error tolerance
-
- """
- if isinstance(self.params, _NMMCanonicalDataCollector):
- return self._canonical_compute_pdf(x, params)
- return self._classical_compute_pdf(x, params)
-
- def _classical_compute_log_pdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Equation for classic log pdf
- Args:
- x (): point
- params (): parameters of LogRQMC algorithm
-
- Returns: computed log pdf and error tolerance
-
- """
- rqmc = LogRQMC(
- lambda u: np.log(1 / np.abs(self.params.gamma))
- + norm.logpdf(
- (x - self.params.alpha - self.params.beta * self.params.distribution.ppf(u)) / np.abs(self.params.gamma)
- ),
- **params
- )
- return rqmc()
-
- def _canonical_compute_log_pdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Equation for canonical log pdf
- Args:
- x (): point
- params (): parameters of LogRQMC algorithm
-
- Returns: computed log pdf and error tolerance
-
- """
- rqmc = LogRQMC(
- lambda u: np.log(1 / np.abs(self.params.sigma))
- + norm.logpdf((x - self.params.distribution.ppf(u)) / np.abs(self.params.sigma)),
- **params
- )
- return rqmc()
-
- def compute_logpdf(self, x: float, params: dict) -> tuple[float, float]:
- """
- Choose equation for log pdf estimation depends on Mixture form
- Args:
- x (): point
- params (): parameters of LogRQMC algorithm
-
- Returns: Computed log pdf and error tolerance
-
- """
- if isinstance(self.params, _NMMCanonicalDataCollector):
- return self._canonical_compute_log_pdf(x, params)
- return self._classical_compute_log_pdf(x, params)
+ def _compute_moment(self, n: int, integrator: Integrator=QuadIntegrator()) -> Tuple[float, float]:
+ mixture_moment = 0.0
+ error = 0.0
+ if self.mixture_form == "classical":
+ for k in range(n + 1):
+ for l in range(k + 1):
+ coeff = binom(n, n - k) * binom(k, k - l)
+ def mix(u: float) -> float:
+ return (
+ self.params.distribution.ppf(u) ** (k - l)
+ )
+
+ res = integrator.compute(mix)
+ mixture_moment += coeff * (self.params.beta ** (k - l)) * (self.params.gamma ** l) * (self.params.alpha ** (n - k)) * res.value * norm.moment(l)
+ error += coeff * (self.params.beta ** (k - l)) * (self.params.gamma ** l) * (self.params.alpha ** (n - k)) * res.error * norm.moment(l)
+ else:
+ for k in range(n + 1):
+ coeff = binom(n, n - k)
+ def mix(u: float) -> float:
+ return self.params.distribution.ppf(u) ** (n - k)
+ res = integrator.compute(mix)
+ mixture_moment += coeff * (self.params.sigma ** k) * res.value * norm.moment(k)
+ error += coeff * (self.params.sigma ** k) * res.error * norm.moment(k)
+ return mixture_moment, error
+
+ def _compute_cdf(self, x: float, integrator: Integrator=RQMCIntegrator()) -> Tuple[float, float]:
+ if self.mixture_form == "classical":
+ def fn(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ return norm.cdf((x - self.params.alpha - self.params.beta * p) / abs(self.params.gamma))
+ else:
+ def fn(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ return norm.cdf((x - p) / abs(self.params.sigma))
+ res = integrator.compute(fn)
+ return res.value, res.error
+
+ def _compute_pdf(self, x: float, integrator: Integrator=RQMCIntegrator()) -> Tuple[float, float]:
+ if self.mixture_form == "classical":
+ def fn(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ return (1 / abs(self.params.gamma)) * norm.pdf((x - self.params.alpha - self.params.beta * p) / abs(self.params.gamma))
+ else:
+ def fn(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ return (1 / abs(self.params.sigma)) * norm.pdf((x - p) / abs(self.params.sigma))
+ res = integrator.compute(fn)
+ return res.value, res.error
+
+ def _compute_logpdf(self, x: float, integrator: Integrator=LogRQMCIntegrator()) -> Tuple[float, float]:
+ if self.mixture_form == "classical":
+ def fn(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ return np.log(1 / abs(self.params.gamma)) + norm.logpdf((x - self.params.alpha - self.params.beta * p) / abs(self.params.gamma))
+ else:
+ def fn(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ return np.log(1 / abs(self.params.sigma)) + norm.logpdf((x - p) / abs(self.params.sigma))
+ res = integrator.compute(fn)
+ return res.value, res.error
diff --git a/src/mixtures/nmv_mixture.py b/src/mixtures/nmv_mixture.py
index c090ff3..6bd4dcb 100644
--- a/src/mixtures/nmv_mixture.py
+++ b/src/mixtures/nmv_mixture.py
@@ -1,191 +1,112 @@
from dataclasses import dataclass
from functools import lru_cache
-from typing import Any
+from typing import Any, Type, Dict, Tuple
import numpy as np
from scipy.special import binom
-from scipy.stats import geninvgauss, norm, rv_continuous
+from scipy.stats import norm, rv_continuous
from scipy.stats.distributions import rv_frozen
-from src.algorithms.support_algorithms.log_rqmc import LogRQMC
-from src.algorithms.support_algorithms.rqmc import RQMC
+from src.procedures.support.integrator import Integrator
+from src.procedures.support.rqmc import RQMCIntegrator
+from src.procedures.support.rqmc import RQMC
+from src.procedures.support.log_rqmc import LogRQMCIntegrator
from src.mixtures.abstract_mixture import AbstractMixtures
-
@dataclass
class _NMVMClassicDataCollector:
- """TODO: Change typing from float | int | etc to Protocol with __addition__ __multiplication__ __subtraction__"""
-
- """Data Collector for parameters of classical NMVM"""
alpha: float | int | np.int64
- beta: float | int | np.int64
+ beta: float | int | np.int64
gamma: float | int | np.int64
distribution: rv_frozen | rv_continuous
-
@dataclass
class _NMVMCanonicalDataCollector:
- """TODO: Change typing from float | int | etc to Protocol with __addition__ __multiplication__ __subtraction__"""
-
- """Data Collector for parameters of canonical NMVM"""
alpha: float | int | np.int64
- mu: float | int | np.int64
+ mu: float | int | np.int64
distribution: rv_frozen | rv_continuous
-
class NormalMeanVarianceMixtures(AbstractMixtures):
_classical_collector = _NMVMClassicDataCollector
_canonical_collector = _NMVMCanonicalDataCollector
- def __init__(self, mixture_form: str, **kwargs: Any) -> None:
+ def __init__(
+ self,
+ mixture_form: str,
+ **kwargs: Any
+ ) -> None:
super().__init__(mixture_form, **kwargs)
- def _classical_moment(self, n: int, params: dict) -> tuple[float, float]:
- """
- Compute n-th moment of classical NMM
-
- Args:
- n (): Moment ordinal
- params (): Parameters of integration algorithm
-
- Returns: moment approximation and error tolerance
-
- """
-
- def integral_func(u: float) -> float:
- result = 0
- for k in range(0, n + 1):
- for l in range(0, k + 1):
- result += (
- binom(n, n - k)
- * binom(k, k - l)
- * (self.params.beta ** (k - l))
- * (self.params.gamma**l)
- * self.params.distribution.ppf(u) ** (k - l / 2)
- * (self.params.alpha ** (n - k))
- * norm.moment(l)
- )
- return result
-
- rqmc = RQMC(lambda u: integral_func(u), **params)
- return rqmc()
-
- def _canonical_moment(self, n: int, params: dict) -> tuple[float, float]:
- """
- Compute n-th moment of classical NMM
-
- Args:
- n (): Moment ordinal
- params (): Parameters of integration algorithm
-
- Returns: moment approximation and error tolerance
-
- """
-
- def integral_func(u: float) -> float:
- result = 0
- for k in range(0, n + 1):
- for l in range(0, k + 1):
- result += (
- binom(n, n - k)
- * binom(k, k - l)
- * (self.params.nu ** (k - l))
- * self.params.distribution.ppf(u) ** (k - l / 2)
- * (self.params.alpha ** (n - k))
- * norm.moment(l)
- )
- return result
-
- rqmc = RQMC(lambda u: integral_func(u), **params)
- return rqmc()
-
- def compute_moment(self, n: int, params: dict) -> tuple[float, float]:
- if isinstance(self.params, _NMVMClassicDataCollector):
- return self._classical_moment(n, params)
- return self._canonical_moment(n, params)
-
- def _classical_cdf(self, x: float, params: dict) -> tuple[float, float]:
- def _inner_func(u: float) -> float:
- ppf = lru_cache()(self.params.distribution.ppf)(u)
- point = (x - self.params.alpha) / (np.sqrt(ppf) * self.params.gamma) - (
- self.params.beta / self.params.gamma * np.sqrt(ppf)
- )
- return norm.cdf(point)
-
- rqmc = RQMC(lambda u: _inner_func(u), **params)
- return rqmc()
-
- def _canonical_cdf(self, x: float, params: dict) -> tuple[float, float]:
- def _inner_func(u: float) -> float:
- ppf = self.params.distribution.ppf(u)
- point = (x - self.params.alpha) / (np.sqrt(ppf)) - (self.params.mu * np.sqrt(ppf))
- return norm.cdf(point)
-
- rqmc = RQMC(lambda u: _inner_func(u), **params)
- return rqmc()
-
- def compute_cdf(self, x: float, params: dict) -> tuple[float, float]:
- if isinstance(self.params, _NMVMClassicDataCollector):
- return self._classical_cdf(x, params)
- return self._canonical_cdf(x, params)
-
- def _classical_pdf(self, x: float, params: dict) -> tuple[float, float]:
- def _inner_func(u: float) -> float:
- ppf = self.params.distribution.ppf(u)
- return (
- 1
- / np.sqrt(2 * np.pi * ppf * self.params.gamma**2)
- * np.exp(
- -((x - self.params.alpha) ** 2 + self.params.beta**2 * ppf**2) / (2 * ppf * self.params.gamma**2)
+ def _compute_moment(self, n: int, integrator: Integrator=RQMCIntegrator()) -> Tuple[float, float]:
+ gamma = getattr(self.params, 'gamma', None)
+
+ def integrand(u: float) -> float:
+ s = 0.0
+ for k in range(n + 1):
+ for l in range(k + 1):
+ if self.mixture_form == 'classical':
+ term = (
+ binom(n, n - k)
+ * binom(k, k - l)
+ * (self.params.beta ** (k - l))
+ * (self.params.gamma ** l)
+ * (self.params.distribution.ppf(u) ** (k - l/2))
+ * norm.moment(l)
+ )
+ else:
+ term = (
+ binom(n, n - k)
+ * binom(k, k - l)
+ * (self.params.mu ** (k - l))
+ * (self.params.distribution.ppf(u) ** (k - l/2))
+ * norm.moment(l)
+ )
+ s += term
+ return s
+
+ res = integrator.compute(integrand)
+ return res.value, res.error
+
+ def _compute_cdf(self, x: float, integrator: Integrator=RQMCIntegrator()) -> Tuple[float, float]:
+ def integrand(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ if self.mixture_form == 'classical':
+ return norm.cdf((x - self.params.alpha) / (np.sqrt(p) * self.params.gamma))
+ return norm.cdf((x - self.params.alpha) / np.sqrt(p) - self.params.mu * np.sqrt(p))
+
+ res = integrator.compute(integrand)
+ return res.value, res.error
+
+ def _compute_pdf(self, x: float, integrator: Integrator=RQMCIntegrator()) -> Tuple[float, float]:
+ def integrand(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ if self.mixture_form == 'classical':
+ return (
+ 1 / np.sqrt(2 * np.pi * p * self.params.gamma ** 2)
+ * np.exp(-((x - self.params.alpha) ** 2 + self.params.beta ** 2 * p ** 2) / (2 * p * self.params.gamma ** 2))
)
- )
-
- rqmc = RQMC(lambda u: _inner_func(u), **params)()
- return np.exp(self.params.beta * (x - self.params.alpha) / self.params.gamma**2) * rqmc[0], rqmc[1]
-
- def _canonical_pdf(self, x: float, params: dict) -> tuple[float, float]:
- def _inner_func(u: float) -> float:
- ppf = self.params.distribution.ppf(u)
return (
- 1
- / np.sqrt(2 * np.pi * ppf)
- * np.exp(-((x - self.params.alpha) ** 2 + self.params.mu**2 * ppf**2) / (2 * ppf))
- )
-
- rqmc = RQMC(lambda u: _inner_func(u), **params)
- res = rqmc()
- return np.exp(self.params.mu * (x - self.params.alpha)) * res[0], res[1]
-
- def _classical_log_pdf(self, x: float, params: dict) -> tuple[float, float]:
- def _inner_func(u: float) -> float:
- ppf = self.params.distribution.ppf(u)
- return -(
- (x - self.params.alpha) ** 2
- + ppf**2 * self.params.beta**2
- + ppf * self.params.gamma**2 * np.log(2 * np.pi * ppf * self.params.gamma**2)
- ) / (2 * ppf * self.params.gamma**2)
-
- rqmc = LogRQMC(lambda u: _inner_func(u), **params)
- return rqmc()
-
- def _canonical_log_pdf(self, x: float, params: dict) -> tuple[float, float]:
- def _inner_func(u: float) -> float:
- ppf = self.params.distribution.ppf(u)
- return -((x - self.params.alpha) ** 2 + ppf**2 * self.params.mu**2 + ppf * np.log(2 * np.pi * ppf)) / (
- 2 * ppf
+ 1 / np.sqrt(2 * np.pi * p)
+ * np.exp(-((x - self.params.alpha) ** 2 + self.params.mu ** 2 * p ** 2) / (2 * p))
)
- rqmc = LogRQMC(lambda u: _inner_func(u), **params)
- return rqmc()
-
- def compute_pdf(self, x: float, params: dict) -> tuple[float, float]:
- if isinstance(self.params, _NMVMClassicDataCollector):
- return self._classical_pdf(x, params)
- return self._canonical_pdf(x, params)
-
- def compute_logpdf(self, x: float, params: dict) -> tuple[Any, float]:
- if isinstance(self.params, _NMVMClassicDataCollector):
- int_result = self._classical_log_pdf(x, params)
- return self.params.beta * (x - self.params.alpha) / self.params.gamma**2 + int_result[0], int_result[1]
- int_result = self._canonical_log_pdf(x, params)
- return self.params.mu * (x - self.params.alpha) + int_result[0], int_result[1]
+ res = integrator.compute(integrand)
+ if self.mixture_form == 'classical':
+ val = np.exp(self.params.beta * (x - self.params.alpha) / self.params.gamma ** 2) * res.value
+ else:
+ val = np.exp(self.params.mu * (x - self.params.alpha)) * res.value
+ return val, res.error
+
+ def _compute_logpdf(self, x: float, integrator: Integrator=LogRQMCIntegrator()) -> Tuple[float, float]:
+ def integrand(u: float) -> float:
+ p = self.params.distribution.ppf(u)
+ if self.mixture_form == 'classical':
+ return -((x - self.params.alpha) ** 2 + p ** 2 * self.params.beta ** 2 + p * self.params.gamma ** 2 * np.log(2 * np.pi * p * self.params.gamma ** 2)) / (2 * p * self.params.gamma ** 2)
+ return -((x - self.params.alpha) ** 2 + p ** 2 * self.params.mu ** 2 + p * np.log(2 * np.pi * p)) / (2 * p)
+
+ res = integrator.compute(integrand)
+ if self.mixture_form == 'classical':
+ val = self.params.beta * (x - self.params.alpha) / self.params.gamma ** 2 + res.value
+ else:
+ val = self.params.mu * (x - self.params.alpha) + res.value
+ return val, res.error
diff --git a/src/mixtures/nv_mixture.py b/src/mixtures/nv_mixture.py
index 7905e6e..20f75ae 100644
--- a/src/mixtures/nv_mixture.py
+++ b/src/mixtures/nv_mixture.py
@@ -1,93 +1,97 @@
from dataclasses import dataclass
from functools import lru_cache
-from typing import Any
+from typing import Any, Type, Dict
import numpy as np
from scipy.special import binom
from scipy.stats import norm, rv_continuous
from scipy.stats.distributions import rv_frozen
-from src.algorithms.support_algorithms.log_rqmc import LogRQMC
-from src.algorithms.support_algorithms.rqmc import RQMC
-from src.mixtures.abstract_mixture import AbstractMixtures
+from src.procedures.support.log_rqmc import LogRQMCIntegrator
+from src.procedures.support.integrator import Integrator
+from src.procedures.support.rqmc import RQMCIntegrator
+from src.procedures.support.rqmc import RQMC
+from src.procedures.support.quad_integrator import QuadIntegrator
+from src.mixtures.abstract_mixture import AbstractMixtures
@dataclass
class _NVMClassicDataCollector:
- """TODO: Change typing from float | int | etc to Protocol with __addition__ __multiplication__ __subtraction__"""
-
- """Data Collector for parameters of classical NVM"""
alpha: float | int | np.int64
gamma: float | int | np.int64
distribution: rv_frozen | rv_continuous
-
@dataclass
class _NVMCanonicalDataCollector:
- """TODO: Change typing from float | int | etc to Protocol with __addition__ __multiplication__ __subtraction__"""
-
- """Data Collector for parameters of canonical NVM"""
alpha: float | int | np.int64
distribution: rv_frozen | rv_continuous
-
class NormalVarianceMixtures(AbstractMixtures):
-
_classical_collector = _NVMClassicDataCollector
_canonical_collector = _NVMCanonicalDataCollector
- def __init__(self, mixture_form: str, **kwargs: Any) -> None:
- super().__init__(mixture_form, **kwargs)
-
- def compute_moment(self, n: int, params: dict) -> tuple[float, float]:
- """
- Compute n-th moment of NVM
- Args:
- n (): Moment ordinal
- params (): Parameters of integration algorithm
- Returns: moment approximation and error tolerance
- """
- gamma = self.params.gamma if isinstance(self.params, _NVMClassicDataCollector) else 1
-
- def integrate_func(u: float) -> float:
+ def __init__(
+ self,
+ mixture_form: str,
+ integrator_cls: Type[Integrator] = RQMCIntegrator,
+ integrator_params: Dict[str, Any] = None,
+ **kwargs: Any
+ ) -> None:
+ super().__init__(mixture_form, integrator_cls=integrator_cls, integrator_params=integrator_params, **kwargs)
+ self.integrator_cls = integrator_cls
+ self.integrator_params = integrator_params or {}
+
+ def _compute_moment(self, n: int, integrator: Integrator=QuadIntegrator()) -> tuple[float, float]:
+ gamma = getattr(self.params, 'gamma', 1)
+
+ def integrand(u: float) -> float:
return sum(
- [
- binom(n, k)
- * (gamma**k)
- * (self.params.alpha ** (n - k))
- * (self.params.distribution.ppf(u) ** (k / 2))
- * norm.moment(k)
- for k in range(0, n + 1)
- ]
+ binom(n, k)
+ * (gamma ** k)
+ * (self.params.alpha ** (n - k))
+ * (self.params.distribution.ppf(u) ** (k / 2))
+ * norm.moment(k)
+ for k in range(n + 1)
)
- result = RQMC(integrate_func, **params)()
- return result
+ result = integrator.compute(integrand)
+ return result.value, result.error
+
+ def _compute_cdf(self, x: float, integrator: Integrator=QuadIntegrator()) -> tuple[float, float]:
+ gamma = getattr(self.params, 'gamma', 1)
+ param_norm = norm(0, gamma)
+
+ def integrand(u: float) -> float:
+ return param_norm.cdf((x - self.params.alpha) / np.sqrt(self.params.distribution.ppf(u)))
+
+ result = integrator.compute(integrand)
+ return result.value, result.error
+
+ def _compute_pdf(self, x: float, integrator: Integrator=QuadIntegrator()) -> tuple[float, float]:
+ gamma = getattr(self.params, 'gamma', 1)
+ d = (x - self.params.alpha) ** 2 / gamma ** 2
+
+ def integrand(u: float) -> float:
+ return self._integrand_func(u, d, gamma)
+
+ result = integrator.compute(integrand)
+ return result.value, result.error
+
+ def _compute_logpdf(self, x: float, integrator: Integrator=LogRQMCIntegrator()) -> tuple[float, float]:
+ gamma = getattr(self.params, 'gamma', 1)
+ d = (x - self.params.alpha) ** 2 / gamma ** 2
+
+ def integrand(u: float) -> float:
+ return self._log_integrand_func(u, d, gamma)
- def compute_cdf(self, x: float, params: dict) -> tuple[float, float]:
- parametric_norm = norm(0, self.params.gamma if isinstance(self.params, _NVMClassicDataCollector) else 1)
- rqmc = RQMC(
- lambda u: parametric_norm.cdf((x - self.params.alpha) / np.sqrt(self.params.distribution.ppf(u))), **params
- )
- return rqmc()
+ result = integrator.compute(integrand)
+ return result.value, result.error
@lru_cache()
def _integrand_func(self, u: float, d: float, gamma: float) -> float:
ppf = self.params.distribution.ppf(u)
- return (1 / np.sqrt(np.pi * 2 * ppf * np.abs(gamma**2))) * np.exp(-1 * d / (2 * ppf))
+ return (1 / np.sqrt(2 * np.pi * ppf * np.abs(gamma ** 2))) * np.exp(-d / (2 * ppf))
- def _log_integrand_func(self, u: float, d: float, gamma: float | int | np.int64) -> float:
+ def _log_integrand_func(self, u: float, d: float, gamma: float) -> float:
ppf = self.params.distribution.ppf(u)
- return -(ppf * np.log(np.pi * 2 * ppf * gamma**2) + d) / (2 * ppf)
-
- def compute_pdf(self, x: float, params: dict) -> tuple[float, float]:
- gamma = self.params.gamma if isinstance(self.params, _NVMClassicDataCollector) else 1
- d = (x - self.params.alpha) ** 2 / gamma**2
- rqmc = RQMC(lambda u: self._integrand_func(u, d, gamma), **params)
- return rqmc()
-
- def compute_logpdf(self, x: float, params: dict) -> tuple[float, float]:
- gamma = self.params.gamma if isinstance(self.params, _NVMClassicDataCollector) else 1
- d = (x - self.params.alpha) ** 2 / gamma**2
- log_rqmc = LogRQMC(lambda u: self._log_integrand_func(u, d, gamma), **params)
- return log_rqmc()
+ return -(ppf * np.log(2 * np.pi * ppf * gamma ** 2) + d) / (2 * ppf)
diff --git a/src/procedures/__init__.py b/src/procedures/__init__.py
new file mode 100644
index 0000000..00d3e1b
--- /dev/null
+++ b/src/procedures/__init__.py
@@ -0,0 +1,46 @@
+from src.procedures.semiparametric.nm_semiparametric.g_estimation_convolution import (
+ NMEstimationDensityInvMT,
+)
+from src.procedures.semiparametric.nm_semiparametric.sigma_estimation_eigenvalue_based import (
+ NMEstimationSigmaEigenvals,
+)
+from src.procedures.semiparametric.nm_semiparametric.sigma_estimation_empirical import (
+ NMEstimationSigmaLaplace,
+)
+from src.procedures.semiparametric.nv_semiparametric.g_estimation_given_mu import (
+ NVEstimationDensityInvMT,
+)
+from src.procedures.semiparametric.nv_semiparametric.g_estimation_post_widder import (
+ NVEstimationDensityPW,
+)
+from src.procedures.semiparametric.nvm_semiparametric.g_estimation_given_mu import (
+ NMVEstimationDensityInvMTquad,
+)
+from src.procedures.semiparametric.nvm_semiparametric.g_estimation_given_mu_rqmc_based import (
+ SemiParametricGEstimationGivenMuRQMCBased,
+)
+from src.procedures.semiparametric.nvm_semiparametric.g_estimation_post_widder import (
+ NMVEstimationDensityPW,
+)
+from src.procedures.semiparametric.nvm_semiparametric.mu_estimation import (NMVEstimationMu)
+from src.register.algorithm_purpose import AlgorithmPurpose
+from src.register.register import Registry
+
+ALGORITHM_REGISTRY: Registry = Registry()
+ALGORITHM_REGISTRY.register("mu_estimation", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(NMVEstimationMu)
+ALGORITHM_REGISTRY.register("density_estim_inv_mellin_quad_int", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(
+ NMVEstimationDensityInvMTquad
+)
+ALGORITHM_REGISTRY.register("density_estim_deconv", AlgorithmPurpose.NM_SEMIPARAMETRIC)(NMEstimationDensityInvMT)
+ALGORITHM_REGISTRY.register("sigma_estimation_eigenvalue", AlgorithmPurpose.NM_SEMIPARAMETRIC)(
+ NMEstimationSigmaEigenvals
+)
+ALGORITHM_REGISTRY.register("sigma_estimation_laplace", AlgorithmPurpose.NM_SEMIPARAMETRIC)(
+ NMEstimationSigmaLaplace
+)
+ALGORITHM_REGISTRY.register("density_estim_inv_mellin_rqmc_int", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(
+ SemiParametricGEstimationGivenMuRQMCBased
+)
+ALGORITHM_REGISTRY.register("density_estim_post_widder", AlgorithmPurpose.NMV_SEMIPARAMETRIC)(
+ NMVEstimationDensityPW
+)
diff --git a/src/algorithms/param_algorithms/__init__.py b/src/procedures/parametric/__init__.py
similarity index 100%
rename from src/algorithms/param_algorithms/__init__.py
rename to src/procedures/parametric/__init__.py
diff --git a/src/algorithms/param_algorithms/nm_param_algorithms/__init__.py b/src/procedures/parametric/nm_parametric/__init__.py
similarity index 100%
rename from src/algorithms/param_algorithms/nm_param_algorithms/__init__.py
rename to src/procedures/parametric/nm_parametric/__init__.py
diff --git a/src/algorithms/param_algorithms/nv_param_algorithms/__init__.py b/src/procedures/parametric/nv_parametric/__init__.py
similarity index 100%
rename from src/algorithms/param_algorithms/nv_param_algorithms/__init__.py
rename to src/procedures/parametric/nv_parametric/__init__.py
diff --git a/src/algorithms/param_algorithms/nvm_param_algorithms/__init__.py b/src/procedures/parametric/nvm_parametric/__init__.py
similarity index 100%
rename from src/algorithms/param_algorithms/nvm_param_algorithms/__init__.py
rename to src/procedures/parametric/nvm_parametric/__init__.py
diff --git a/src/algorithms/semiparam_algorithms/__init__.py b/src/procedures/semiparametric/__init__.py
similarity index 100%
rename from src/algorithms/semiparam_algorithms/__init__.py
rename to src/procedures/semiparametric/__init__.py
diff --git a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/__init__.py b/src/procedures/semiparametric/nm_semiparametric/__init__.py
similarity index 100%
rename from src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/__init__.py
rename to src/procedures/semiparametric/nm_semiparametric/__init__.py
diff --git a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/g_estimation_convolution.py b/src/procedures/semiparametric/nm_semiparametric/g_estimation_convolution.py
similarity index 90%
rename from src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/g_estimation_convolution.py
rename to src/procedures/semiparametric/nm_semiparametric/g_estimation_convolution.py
index 3feb6cf..746bf8c 100644
--- a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/g_estimation_convolution.py
+++ b/src/procedures/semiparametric/nm_semiparametric/g_estimation_convolution.py
@@ -11,8 +11,7 @@
BOHMAN_DELTA_DEFAULT_VALUE: float = 0.0001
X_DATA_DEFAULT_VALUE: List[float] = [1.0]
-
-class NMSemiParametricGEstimation:
+class NMEstimationDensityInvMT:
"""Estimation of mixing density function g (xi density function) of NM mixture
represented in canonical form Y = xi + sigma*N.
@@ -34,8 +33,8 @@ class ParamsAnnotation(TypedDict, total=False):
bohman_n: int
bohman_delta: float
- def __init__(self, sample: Optional[_typing.NDArray[np.float64]] = None, **kwargs: Unpack[ParamsAnnotation]):
- self.sample: _typing.NDArray[np.float64] = np.array([]) if sample is None else sample
+ def __init__(self, sample: Optional[np.ndarray] = None, **kwargs: Unpack[ParamsAnnotation]):
+ self.sample: np.ndarray = np.array([]) if sample is None else sample
self.n: int = len(self.sample)
(
self.x_data,
@@ -59,7 +58,7 @@ def characteristic_function_mixture(self, t: float) -> complex:
return smm / self.n
def characteristic_function_normal(self, t: float) -> complex:
- return np.exp(-0.5 * (self.sigma**2) * t**2)
+ return np.exp(-0.5 * t**2)
def characteristic_function_xi(self, t: float) -> complex:
denominator = np.maximum(np.abs(self.characteristic_function_normal(self.sigma * t)), 1e-10)
@@ -93,7 +92,7 @@ def cdf(self, X: np.ndarray) -> np.ndarray:
return F_x.real
- def algorithm(self, sample: _typing.NDArray[np.float64]) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
inv = self.BohmanA(N=self.bohman_n, delta=self.bohman_delta)
inv.fit(self.characteristic_function_xi)
x_data_array = np.array(self.x_data, dtype=np.float64)
diff --git a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/sigma_estimation_eigenvalue_based.py b/src/procedures/semiparametric/nm_semiparametric/sigma_estimation_eigenvalue_based.py
similarity index 97%
rename from src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/sigma_estimation_eigenvalue_based.py
rename to src/procedures/semiparametric/nm_semiparametric/sigma_estimation_eigenvalue_based.py
index 1148610..b9da043 100644
--- a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/sigma_estimation_eigenvalue_based.py
+++ b/src/procedures/semiparametric/nm_semiparametric/sigma_estimation_eigenvalue_based.py
@@ -14,7 +14,7 @@
PARAMETER_KEYS = ["l", "k", "eps", "search_area", "search_density"]
-class SemiParametricMeanSigmaEstimationEigenvalueBased:
+class NMEstimationSigmaEigenvals:
"""Estimation of sigma parameter of NM mixture represented in canonical form Y = xi + sigma*N.
Args:
@@ -86,7 +86,7 @@ def _build_matrix(self, tau: float) -> np.ndarray:
matrix[i, j] = self._alpha(t[i] - t[j], tau)
return matrix
- def algorithm(self, sample: np.ndarray) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
"""Estimate sigma.
Args:
diff --git a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/sigma_estimation_empirical.py b/src/procedures/semiparametric/nm_semiparametric/sigma_estimation_empirical.py
similarity index 94%
rename from src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/sigma_estimation_empirical.py
rename to src/procedures/semiparametric/nm_semiparametric/sigma_estimation_empirical.py
index 0ce471c..22a69af 100644
--- a/src/algorithms/semiparam_algorithms/nm_semi_param_algorithms/sigma_estimation_empirical.py
+++ b/src/procedures/semiparametric/nm_semiparametric/sigma_estimation_empirical.py
@@ -9,7 +9,7 @@
PARAMETER_KEYS = ["t"]
-class SemiParametricMeanSigmaEstimationEmpirical:
+class NMEstimationSigmaLaplace:
"""Estimation of sigma parameter of NM mixture represented in canonical form Y = xi + sigma*N.
Args:
@@ -51,7 +51,7 @@ def _validate_kwargs(**kwargs: ParamsAnnotation) -> float:
raise ValueError("Expected a positive float as parameter `t`.")
return t
- def algorithm(self, sample: np.ndarray) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
"""Estimate the sigma parameter.
Args:
diff --git a/src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/__init__.py b/src/procedures/semiparametric/nv_semiparametric/__init__.py
similarity index 100%
rename from src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/__init__.py
rename to src/procedures/semiparametric/nv_semiparametric/__init__.py
diff --git a/src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/g_estimation_given_mu.py b/src/procedures/semiparametric/nv_semiparametric/g_estimation_given_mu.py
similarity index 95%
rename from src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/g_estimation_given_mu.py
rename to src/procedures/semiparametric/nv_semiparametric/g_estimation_given_mu.py
index 7c810cc..768d54c 100644
--- a/src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/g_estimation_given_mu.py
+++ b/src/procedures/semiparametric/nv_semiparametric/g_estimation_given_mu.py
@@ -30,7 +30,7 @@ def v_sequence_default_value(n: float) -> float:
INTEGRATION_LIMIT_DEFAULT_VALUE: int = 50
-class SemiParametricNVEstimation:
+class NVEstimationDensityInvMT:
"""Estimation of mixing density function g (xi density function) of NV mixture represented in canonical form Y =
alpha + sqrt(xi)*N, where alpha = 0 and mu = 0.
@@ -49,13 +49,13 @@ class ParamsAnnotation(TypedDict, total=False):
integration_tolerance: float
integration_limit: int
- def __init__(self, sample: Optional[_typing.NDArray[np.float64]] = None, **kwargs: Unpack[ParamsAnnotation]):
+ def __init__(self, sample: Optional[np.ndarray] = None, **kwargs: Unpack[ParamsAnnotation]):
self.x_powers: Dict[float, np.ndarray] = {}
self.second_u_integrals: np.ndarray
self.first_u_integrals: np.ndarray
self.gamma_grid: np.ndarray
self.v_grid: np.ndarray
- self.sample: _typing.NDArray[np.float64] = np.array([]) if sample is None else sample
+ self.sample: np.ndarray = np.array([]) if sample is None else sample
self.n: int = len(self.sample)
(
self.gmm,
@@ -173,6 +173,6 @@ def compute_integrals_for_x(self, x: float) -> float:
total = np.sum(first_integral + second_integral) / self.denominator
return max(0.0, total.real)
- def algorithm(self, sample: _typing.NDArray[np.float64]) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
y_data = [self.compute_integrals_for_x(x) for x in self.x_data]
return EstimateResult(list_value=y_data, success=True)
diff --git a/src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/g_estimation_post_widder.py b/src/procedures/semiparametric/nv_semiparametric/g_estimation_post_widder.py
similarity index 96%
rename from src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/g_estimation_post_widder.py
rename to src/procedures/semiparametric/nv_semiparametric/g_estimation_post_widder.py
index 0c681d3..14c6deb 100644
--- a/src/algorithms/semiparam_algorithms/nv_semi_param_algorithms/g_estimation_post_widder.py
+++ b/src/procedures/semiparametric/nv_semiparametric/g_estimation_post_widder.py
@@ -13,7 +13,7 @@
X_DATA_DEFAULT_VALUE = [1.0]
-class NVSemiParametricGEstimationPostWidder:
+class NVEstimationDensityPW:
"""Estimation of mixing density function g (xi density function) of NVM mixture represented in classical form Y =
alpha + sigma*sqrt(xi)*N, where alpha = 0 and mu, sigma are given.
@@ -77,7 +77,7 @@ def p_x_estimation(self, x: float) -> float:
)
return result.real
- def algorithm(self, sample: np._typing.NDArray) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
"""Estimate g(x)
Args:
diff --git a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/__init__.py b/src/procedures/semiparametric/nvm_semiparametric/__init__.py
similarity index 100%
rename from src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/__init__.py
rename to src/procedures/semiparametric/nvm_semiparametric/__init__.py
diff --git a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_given_mu.py b/src/procedures/semiparametric/nvm_semiparametric/g_estimation_given_mu.py
similarity index 95%
rename from src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_given_mu.py
rename to src/procedures/semiparametric/nvm_semiparametric/g_estimation_given_mu.py
index cbda86e..b84363c 100644
--- a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_given_mu.py
+++ b/src/procedures/semiparametric/nvm_semiparametric/g_estimation_given_mu.py
@@ -31,7 +31,7 @@ def v_sequence_default_value(n: float) -> float:
INTEGRATION_LIMIT_DEFAULT_VALUE: int = 50
-class SemiParametricGEstimationGivenMu:
+class NMVEstimationDensityInvMTquad:
"""Estimation of mixing density function g (xi density function) of NVM mixture represented in canonical form Y =
alpha + mu*xi + sqrt(xi)*N, where alpha = 0 and mu is given.
@@ -51,13 +51,13 @@ class ParamsAnnotation(TypedDict, total=False):
integration_tolerance: float
integration_limit: int
- def __init__(self, sample: Optional[_typing.NDArray[np.float64]] = None, **kwargs: Unpack[ParamsAnnotation]):
+ def __init__(self, sample: Optional[np.ndarray] = None, **kwargs: Unpack[ParamsAnnotation]):
self.x_powers: Dict[float, np.ndarray] = {}
self.second_u_integrals: np.ndarray
self.first_u_integrals: np.ndarray
self.gamma_grid: np.ndarray
self.v_grid: np.ndarray
- self.sample: _typing.NDArray[np.float64] = np.array([]) if sample is None else sample
+ self.sample: np.ndarray= np.array([]) if sample is None else sample
self.n: int = len(self.sample)
(
self.mu,
@@ -179,6 +179,6 @@ def compute_integrals_for_x(self, x: float) -> float:
total = np.sum(first_integral + second_integral) / self.denominator
return max(0.0, total.real)
- def algorithm(self, sample: _typing.NDArray[np.float64]) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
y_data = [self.compute_integrals_for_x(x) for x in self.x_data]
return EstimateResult(list_value=y_data, success=True)
diff --git a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_given_mu_rqmc_based.py b/src/procedures/semiparametric/nvm_semiparametric/g_estimation_given_mu_rqmc_based.py
similarity index 90%
rename from src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_given_mu_rqmc_based.py
rename to src/procedures/semiparametric/nvm_semiparametric/g_estimation_given_mu_rqmc_based.py
index 2f3da81..2bf1687 100644
--- a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_given_mu_rqmc_based.py
+++ b/src/procedures/semiparametric/nvm_semiparametric/g_estimation_given_mu_rqmc_based.py
@@ -3,11 +3,11 @@
from typing import Callable, Dict, List, Optional, TypedDict, Unpack
import numpy as np
-from numpy import _typing
from scipy.integrate import quad_vec
from scipy.special import gamma
-from src.algorithms.support_algorithms.rqmc import RQMC
+from src.procedures.support.integrator import Integrator
+from src.procedures.support.rqmc import RQMCIntegrator
from src.estimators.estimate_result import EstimateResult
MU_DEFAULT_VALUE = 1.0
@@ -52,13 +52,13 @@ class ParamsAnnotation(TypedDict, total=False):
integration_tolerance: float
integration_limit: int
- def __init__(self, sample: Optional[_typing.NDArray[np.float64]] = None, **kwargs: Unpack[ParamsAnnotation]):
+ def __init__(self, sample: Optional[np.ndarray] = None, **kwargs: Unpack[ParamsAnnotation]):
self.x_powers: Dict[float, np.ndarray] = {}
self.second_u_integrals: np.ndarray
self.first_u_integrals: np.ndarray
self.gamma_grid: np.ndarray
self.v_grid: np.ndarray
- self.sample: _typing.NDArray[np.float64] = np.array([]) if sample is None else sample
+ self.sample: np.ndarray = np.array([]) if sample is None else sample
self.n: int = len(self.sample)
(
self.mu,
@@ -68,7 +68,7 @@ def __init__(self, sample: Optional[_typing.NDArray[np.float64]] = None, **kwarg
self.x_data,
self.grid_size,
self.integration_tolerance,
- self.integration_limit,
+ self.integration_limit
) = self._validate_kwargs(self.n, **kwargs)
self.denominator: float = 2 * math.pi * self.n
self.precompute_gamma_grid()
@@ -164,13 +164,14 @@ def second_v_integrand(self, v: float, x: float) -> np.ndarray:
def compute_integrals_for_x(self, x: float) -> float:
"""Compute integrals using RQMC for v-integration."""
- first_integral = RQMC(lambda t: np.sum(self.first_v_integrand(t * self.v_value, x)) * self.v_value).rqmc()[0]
+ integrator = RQMCIntegrator()
+ first_integral = integrator.compute(func=lambda t: np.sum(self.first_v_integrand(t * self.v_value, x)) * self.v_value).value
- second_integral = RQMC(lambda t: np.sum(self.second_v_integrand(-t * self.v_value, x)) * self.v_value).rqmc()[0]
+ second_integral = integrator.compute(func=lambda t: np.sum(self.second_v_integrand(-t * self.v_value, x)) * self.v_value).value
total = (first_integral + second_integral) / self.denominator
return max(0.0, total.real)
- def algorithm(self, sample: np._typing.NDArray) -> EstimateResult:
+ def algorithm(self, sample: np.ndarray) -> EstimateResult:
y_data = [self.compute_integrals_for_x(x) for x in self.x_data]
return EstimateResult(list_value=y_data, success=True)
diff --git a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_post_widder.py b/src/procedures/semiparametric/nvm_semiparametric/g_estimation_post_widder.py
similarity index 96%
rename from src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_post_widder.py
rename to src/procedures/semiparametric/nvm_semiparametric/g_estimation_post_widder.py
index 50c518e..2d219b0 100644
--- a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/g_estimation_post_widder.py
+++ b/src/procedures/semiparametric/nvm_semiparametric/g_estimation_post_widder.py
@@ -14,7 +14,7 @@
X_DATA_DEFAULT_VALUE = [1.0]
-class SemiParametricGEstimationPostWidder:
+class NMVEstimationDensityPW:
"""Estimation of mixing density function g (xi density function) of NVM mixture represented in classical form Y =
alpha + mu*xi + sigma*sqrt(xi)*N, where alpha = 0 and mu, sigma are given.
@@ -80,7 +80,7 @@ def p_x_estimation(self, x: float) -> float:
)
return result.real
- def algorithm(self, sample: np._typing.NDArray) -> EstimateResult:
+ def compute(self, sample: np._typing.NDArray) -> EstimateResult:
"""Estimate g(x)
Args:
diff --git a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/mu_estimation.py b/src/procedures/semiparametric/nvm_semiparametric/mu_estimation.py
similarity index 96%
rename from src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/mu_estimation.py
rename to src/procedures/semiparametric/nvm_semiparametric/mu_estimation.py
index 9e2dad0..3ca6292 100644
--- a/src/algorithms/semiparam_algorithms/nvm_semi_param_algorithms/mu_estimation.py
+++ b/src/procedures/semiparametric/nvm_semiparametric/mu_estimation.py
@@ -14,7 +14,7 @@
PARAMETER_KEYS = ["m", "tolerance", "omega", "max_iterations"]
-class SemiParametricMuEstimation:
+class NMVEstimationMu:
"""Estimation of mu parameter of NVM mixture represented in canonical form Y = alpha + mu*xi + sqrt(xi)*N,
where alpha = 0
@@ -84,7 +84,7 @@ def __w(self, p: float, sample: np._typing.NDArray) -> float:
y += e * self.omega(x)
return y
- def algorithm(self, sample: np._typing.NDArray) -> EstimateResult:
+ def compute(self, sample: np.ndarray) -> EstimateResult:
"""Root of this function is an estimation of mu
Args:
@@ -96,7 +96,7 @@ def algorithm(self, sample: np._typing.NDArray) -> EstimateResult:
if self.__w(0, sample) == 0:
return EstimateResult(value=0, success=True)
if self.__w(0, sample) > 0:
- second_result = self.algorithm(-1 * sample)
+ second_result = self.compute(-1 * sample)
return EstimateResult(value=-1 * second_result.value, success=second_result.success)
if self.__w(self.m, sample) < 0:
return EstimateResult(value=self.m, success=False)
diff --git a/src/procedures/semiparametric/statistical_procedure.py b/src/procedures/semiparametric/statistical_procedure.py
new file mode 100644
index 0000000..228c82c
--- /dev/null
+++ b/src/procedures/semiparametric/statistical_procedure.py
@@ -0,0 +1,12 @@
+from typing import Protocol
+import numpy as np
+
+from src.estimators.estimate_result import EstimateResult
+
+class StatisticalProcedure(Protocol):
+ """Protocol for statistical procedures that compute estimates from data.
+
+ """
+ def compute(self, sample: np.ndarray) -> EstimateResult:
+ pass
+
diff --git a/src/procedures/support/integrator.py b/src/procedures/support/integrator.py
new file mode 100644
index 0000000..8ee0fb7
--- /dev/null
+++ b/src/procedures/support/integrator.py
@@ -0,0 +1,20 @@
+from dataclasses import dataclass
+from typing import Any, Protocol, Callable, Optional
+
+
+@dataclass
+class IntegrationResult:
+ value: float
+ error: float
+ message: Optional[dict[str, Any]] | None = None
+
+
+class Integrator(Protocol):
+
+ """Base class for integral calculation"""
+
+ def __init__(self) -> None:
+ ...
+
+ def compute(self, func: Callable) -> IntegrationResult:
+ ...
diff --git a/src/procedures/support/log_rqmc.py b/src/procedures/support/log_rqmc.py
new file mode 100644
index 0000000..af267b0
--- /dev/null
+++ b/src/procedures/support/log_rqmc.py
@@ -0,0 +1,81 @@
+from typing import Callable
+import numpy as np
+import numpy._typing as tpg
+import scipy
+from src.procedures.support.integrator import IntegrationResult
+from src.procedures.support.rqmc import RQMC
+
+
+class LogRQMCIntegrator:
+ """Log-sum-exp stabilized randomized Quasi-Monte Carlo integrator."""
+
+ def __init__(
+ self,
+ error_tolerance: float = 1e-6,
+ count: int = 25,
+ base_n: int = 2 ** 6,
+ i_max: int = 100,
+ a: float = 0.00047,
+ ):
+ self.error_tolerance = error_tolerance
+ self.count = count
+ self.base_n = base_n
+ self.i_max = i_max
+ self.a = a
+
+ @staticmethod
+ def lse(args: tpg.NDArray) -> float:
+ """
+ Log-Sum-Exp stabilization helper.
+ """
+ max_value = max(args)
+ return max_value + np.log(np.sum(np.exp(args - max_value)))
+
+ def _independent_estimator(self, values: tpg.NDArray) -> float:
+ vfunc = np.vectorize(self.func)
+ return -np.log(len(values)) + self.lse(vfunc(values))
+
+ def _estimator(self, random_matrix: tpg.NDArray) -> tuple[float, tpg.NDArray]:
+ values = np.array(list(map(self._independent_estimator, random_matrix)))
+ return -np.log(self.count) + self.lse(values), values
+
+ def _update_independent_estimator(
+ self, i: int, old_value: float, new_values: tpg.NDArray
+ ) -> float:
+ return -np.log(i + 1) + self.lse(
+ np.array(i * [old_value] + [self._independent_estimator(new_values[i * self.base_n :])])
+ )
+
+ def _update(
+ self, j: int, old_values: tpg.NDArray, random_matrix: tpg.NDArray
+ ) -> tuple[float, tpg.NDArray]:
+ values = []
+ for idx in range(self.count):
+ old_val, new_vals = old_values[idx], random_matrix[idx]
+ values.append(self._update_independent_estimator(j, old_val, new_vals))
+ np_values = np.array(values)
+ return -np.log(self.count) + self.lse(np_values), np_values
+
+ def compute(self, func: Callable) -> IntegrationResult:
+ """Compute integral of `func` over [0,1] with log-RQMC."""
+ # Assign the integrand
+ self.func = func
+ # Instantiate underlying RQMC with same parameters
+ rqmc_inst = RQMC(
+ func,
+ error_tolerance=self.error_tolerance,
+ count=self.count,
+ base_n=self.base_n,
+ i_max=self.i_max,
+ a=self.a,
+ )
+ # __call__ returns (approximation, error)
+ approximation, error = rqmc_inst()
+ return IntegrationResult(approximation, error, None)
+
+
+if __name__ == "__main__":
+ # Sample usage
+ integrator = LogRQMCIntegrator(i_max=100)
+ result = integrator.compute(lambda x: x**3 - x**2 + 1)
+ print(result)
diff --git a/src/procedures/support/quad_integrator.py b/src/procedures/support/quad_integrator.py
new file mode 100644
index 0000000..8401887
--- /dev/null
+++ b/src/procedures/support/quad_integrator.py
@@ -0,0 +1,60 @@
+from typing import Callable, Any, Sequence
+
+from scipy.integrate import quad
+from src.procedures.support.integrator import IntegrationResult
+
+class QuadIntegrator:
+
+ def __init__(
+ self,
+ a: float = 0,
+ b: float = 1,
+ args: tuple[Any, ...] = (),
+ full_output: int = 0,
+ epsabs: float | int = 1.49e-08,
+ epsrel: float | int = 1.49e-08,
+ limit: float | int = 50,
+ points: Sequence[float | int] | None = None,
+ weight: float | int | None = None,
+ wvar: Any = None,
+ wopts: Any = None,
+ maxp1: float | int = 50,
+ limlst: int = 50,
+ complex_func: bool = False,
+ ):
+ self.params = {
+ 'a': a,
+ 'b': b,
+ 'args': args,
+ 'full_output': full_output,
+ 'epsabs': epsabs,
+ 'epsrel': epsrel,
+ 'limit': limit,
+ 'points': points,
+ 'weight': weight,
+ 'wvar': wvar,
+ 'wopts': wopts,
+ 'maxp1': maxp1,
+ 'limlst': limlst,
+ 'complex_func': complex_func
+ }
+
+ def compute(self, func: Callable) -> IntegrationResult:
+
+ """
+ Compute integral via quad integrator
+
+ Args:
+ func: integrated function
+
+ Returns: moment approximation and error tolerance
+ """
+
+ verbose = self.params.pop('full_output', False)
+ result = quad(func, **self.params)
+ if verbose:
+ value, error, message = result
+ else:
+ value, error = result
+ message = None
+ return IntegrationResult(value, error, message)
diff --git a/src/algorithms/support_algorithms/rqmc.py b/src/procedures/support/rqmc.py
similarity index 83%
rename from src/algorithms/support_algorithms/rqmc.py
rename to src/procedures/support/rqmc.py
index 4b10c9d..4254615 100644
--- a/src/algorithms/support_algorithms/rqmc.py
+++ b/src/procedures/support/rqmc.py
@@ -5,6 +5,8 @@
import scipy
from numba import njit
+from src.procedures.support.integrator import IntegrationResult
+
BITS = 30
"""Number of bits in XOR. Should be less than 64"""
NUMBA_FAST_MATH = True
@@ -126,7 +128,8 @@ def _update(
Returns:Updated mean of all rows
- """
+
+ """
values = []
sum_of_new: float = 0.0
for i in range(self.count):
@@ -212,9 +215,9 @@ def _xor_float(a: float, b: float) -> float:
Returns: XOR float value
"""
- a = int(a * (2**BITS))
- b = int(b * (2**BITS))
- return np.bitwise_xor(a, b) / 2**BITS
+ a = int(a * (2 ** BITS))
+ b = int(b * (2 ** BITS))
+ return np.bitwise_xor(a, b) / 2 ** BITS
def __call__(self) -> tuple[float, float]:
"""Interface for users
@@ -223,3 +226,51 @@ def __call__(self) -> tuple[float, float]:
"""
return self.rqmc()
+
+
+class RQMCIntegrator:
+ """
+ Randomize Quasi Monte Carlo Method
+
+ Args:
+ error_tolerance: pre-specified error tolerance
+ count: number of rows of random values matrix
+ base_n: number of columns of random values matrix
+ i_max: allowed number of cycles
+ a: parameter for quantile of normal distribution
+
+ """
+
+ def __init__(
+ self,
+ error_tolerance: float = 1e-6,
+ count: int = 25,
+ base_n: int = 2 ** 6,
+ i_max: int = 100,
+ a: float = 0.00047,
+ ):
+ self.error_tolerance = error_tolerance
+ self.count = count
+ self.base_n = base_n
+ self.i_max = i_max
+ self.a = a
+
+ def compute(self, func: Callable) -> IntegrationResult:
+ """
+ Compute integral via RQMC integrator
+
+ Args:
+ func: integrated function
+
+ Returns: moment approximation and error tolerance
+ """
+ result = RQMC(
+ func,
+ error_tolerance=self.error_tolerance,
+ count=self.count,
+ base_n=self.base_n,
+ i_max=self.i_max,
+ a=self.a,
+ )()
+ return IntegrationResult(result[0], result[1])
+
diff --git a/tests/generators/nm_generator/test_mixing_normal.py b/tests/generators/nm_generator/test_mixing_normal.py
index ea85692..49af0ae 100644
--- a/tests/generators/nm_generator/test_mixing_normal.py
+++ b/tests/generators/nm_generator/test_mixing_normal.py
@@ -16,7 +16,7 @@ class TestMixingNormal:
)
def test_classic_generate_variance_0(self, mixing_variance: float, expected_variance: float) -> None:
mixture = NormalMeanMixtures("classical", alpha=0, beta=mixing_variance**0.5, gamma=1, distribution=norm)
- sample = self.generator.classical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_variance = ndimage.variance(sample)
assert actual_variance == pytest.approx(expected_variance, 0.1)
@@ -24,7 +24,7 @@ def test_classic_generate_variance_0(self, mixing_variance: float, expected_vari
def test_classic_generate_variance_1(self, beta: float) -> None:
expected_variance = beta**2 + 1
mixture = NormalMeanMixtures("classical", alpha=0, beta=beta, gamma=1, distribution=norm)
- sample = self.generator.classical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_variance = ndimage.variance(sample)
assert actual_variance == pytest.approx(expected_variance, 0.1)
@@ -32,7 +32,7 @@ def test_classic_generate_variance_1(self, beta: float) -> None:
def test_classic_generate_variance_2(self, beta: float, gamma: float) -> None:
expected_variance = beta**2 + gamma**2
mixture = NormalMeanMixtures("classical", alpha=0, beta=beta, gamma=gamma, distribution=norm)
- sample = self.generator.classical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_variance = ndimage.variance(sample)
assert actual_variance == pytest.approx(expected_variance, 0.1)
@@ -40,14 +40,14 @@ def test_classic_generate_variance_2(self, beta: float, gamma: float) -> None:
def test_classic_generate_mean(self, beta: float, gamma: float) -> None:
expected_mean = 0
mixture = NormalMeanMixtures("classical", alpha=0, beta=beta, gamma=gamma, distribution=norm)
- sample = self.generator.classical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_mean = np.mean(np.array(sample))
assert abs(actual_mean - expected_mean) < 1
@pytest.mark.parametrize("expected_size", np.random.randint(0, 100, size=50))
def test_classic_generate_size(self, expected_size: int) -> None:
mixture = NormalMeanMixtures("classical", alpha=0, beta=1, gamma=1, distribution=norm)
- sample = self.generator.classical_generate(mixture, expected_size)
+ sample = self.generator.generate(mixture, expected_size)
actual_size = np.size(sample)
assert actual_size == expected_size
@@ -56,7 +56,7 @@ def test_classic_generate_size(self, expected_size: int) -> None:
)
def test_canonical_generate_variance_0(self, mixing_variance: float, expected_variance: float) -> None:
mixture = NormalMeanMixtures("canonical", sigma=1, distribution=norm(0, mixing_variance**0.5))
- sample = self.generator.canonical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_variance = ndimage.variance(sample)
assert actual_variance == pytest.approx(expected_variance, 0.1)
@@ -64,7 +64,7 @@ def test_canonical_generate_variance_0(self, mixing_variance: float, expected_va
def test_canonical_generate_variance_1(self, sigma: float) -> None:
expected_variance = sigma**2 + 1
mixture = NormalMeanMixtures("canonical", sigma=sigma, distribution=norm)
- sample = self.generator.canonical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_variance = ndimage.variance(sample)
assert actual_variance == pytest.approx(expected_variance, 0.1)
@@ -72,7 +72,7 @@ def test_canonical_generate_variance_1(self, sigma: float) -> None:
def test_canonical_generate_variance_2(self, mixing_variance: float, sigma: float) -> None:
expected_variance = mixing_variance + sigma**2
mixture = NormalMeanMixtures("canonical", sigma=sigma, distribution=norm(0, mixing_variance**0.5))
- sample = self.generator.canonical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_variance = ndimage.variance(sample)
assert actual_variance == pytest.approx(expected_variance, 0.1)
@@ -80,13 +80,13 @@ def test_canonical_generate_variance_2(self, mixing_variance: float, sigma: floa
def test_canonical_generate_mean(self, sigma: float) -> None:
expected_mean = 0
mixture = NormalMeanMixtures("canonical", sigma=sigma, distribution=norm)
- sample = self.generator.canonical_generate(mixture, self.test_mixture_size)
+ sample = self.generator.generate(mixture, self.test_mixture_size)
actual_mean = np.mean(np.array(sample))
assert abs(actual_mean - expected_mean) < 1
@pytest.mark.parametrize("expected_size", [*np.random.randint(0, 100, size=50), 0, 1, 1000000])
def test_canonical_generate_size(self, expected_size: int) -> None:
mixture = NormalMeanMixtures("canonical", sigma=1, distribution=norm)
- sample = self.generator.canonical_generate(mixture, expected_size)
+ sample = self.generator.generate(mixture, expected_size)
actual_size = np.size(sample)
assert actual_size == expected_size
diff --git a/tests/algorithms/__init__.py b/tests/procedures/__init__.py
similarity index 100%
rename from tests/algorithms/__init__.py
rename to tests/procedures/__init__.py
diff --git a/tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/__init__.py b/tests/procedures/nm_procedures/semiparametric_sigma_estimation/__init__.py
similarity index 100%
rename from tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/__init__.py
rename to tests/procedures/nm_procedures/semiparametric_sigma_estimation/__init__.py
diff --git a/tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/test_sigma_estimation_eigenvalue_based.py b/tests/procedures/nm_procedures/semiparametric_sigma_estimation/test_sigma_estimation_eigenvalue_based.py
similarity index 86%
rename from tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/test_sigma_estimation_eigenvalue_based.py
rename to tests/procedures/nm_procedures/semiparametric_sigma_estimation/test_sigma_estimation_eigenvalue_based.py
index eb00242..e3b7d64 100644
--- a/tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/test_sigma_estimation_eigenvalue_based.py
+++ b/tests/procedures/nm_procedures/semiparametric_sigma_estimation/test_sigma_estimation_eigenvalue_based.py
@@ -4,7 +4,7 @@
import pytest
from scipy.stats import expon, uniform
-from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiParametricEstimator
+from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiparEstim
from src.generators.nm_generator import NMGenerator
from src.mixtures.nm_mixture import NormalMeanMixtures
@@ -28,8 +28,8 @@ def test_sigma_estimation_eigenvalue_based_expon_single(
* (np.log(np.log(sample_len))) ** 0.6
)
- estimator = NMSemiParametricEstimator(
- "sigma_estimation_eigenvalue_based", {"k": k, "l": l, "eps": eps, "search_area": search_area}
+ estimator = NMSemiparEstim(
+ "sigma_estimation_eigenvalue", {"k": k, "l": l, "eps": eps, "search_area": search_area}
)
est = estimator.estimate(sample)
print(est.value)
@@ -54,8 +54,8 @@ def test_sigma_estimation_eigenvalue_based_expon_1(
* (np.log(np.log(sample_len))) ** 0.6
)
- estimator = NMSemiParametricEstimator(
- "sigma_estimation_eigenvalue_based", {"k": k, "l": l, "eps": eps, "search_area": search_area}
+ estimator = NMSemiparEstim(
+ "sigma_estimation_eigenvalue", {"k": k, "l": l, "eps": eps, "search_area": search_area}
)
est = estimator.estimate(sample)
print(est.value)
@@ -80,8 +80,8 @@ def test_sigma_estimation_eigenvalue_based_expon_2(
* (np.log(np.log(sample_len))) ** 0.6
)
- estimator = NMSemiParametricEstimator(
- "sigma_estimation_eigenvalue_based", {"k": k, "l": l, "eps": eps, "search_area": search_area}
+ estimator = NMSemiparEstim(
+ "sigma_estimation_eigenvalue", {"k": k, "l": l, "eps": eps, "search_area": search_area}
)
est = estimator.estimate(sample)
print(est.value)
@@ -106,8 +106,8 @@ def test_sigma_estimation_eigenvalue_based_expon_3(
* (np.log(np.log(sample_len))) ** 0.6
)
- estimator = NMSemiParametricEstimator(
- "sigma_estimation_eigenvalue_based", {"k": k, "l": l, "eps": eps, "search_area": search_area}
+ estimator = NMSemiparEstim(
+ "sigma_estimation_eigenvalue", {"k": k, "l": l, "eps": eps, "search_area": search_area}
)
est = estimator.estimate(sample)
print(est.value)
@@ -131,8 +131,8 @@ def test_sigma_estimation_eigenvalue_based_uniform(
* (np.log(np.log(sample_len))) ** 0.6
)
- estimator = NMSemiParametricEstimator(
- "sigma_estimation_eigenvalue_based", {"k": k, "l": l, "eps": eps, "search_area": search_area}
+ estimator = NMSemiparEstim(
+ "sigma_estimation_eigenvalue", {"k": k, "l": l, "eps": eps, "search_area": search_area}
)
est = estimator.estimate(sample)
print(est.value)
diff --git a/tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/test_sigma_estimation_empirical.py b/tests/procedures/nm_procedures/semiparametric_sigma_estimation/test_sigma_estimation_empirical.py
similarity index 91%
rename from tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/test_sigma_estimation_empirical.py
rename to tests/procedures/nm_procedures/semiparametric_sigma_estimation/test_sigma_estimation_empirical.py
index daf5a7f..550978f 100644
--- a/tests/algorithms/nm_algorithms/semiparametric_sigma_estimation/test_sigma_estimation_empirical.py
+++ b/tests/procedures/nm_procedures/semiparametric_sigma_estimation/test_sigma_estimation_empirical.py
@@ -3,7 +3,7 @@
import pytest
from scipy.stats import expon, uniform
-from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiParametricEstimator
+from src.estimators.semiparametric.nm_semiparametric_estimator import NMSemiparEstim
from src.generators.nm_generator import NMGenerator
from src.mixtures.nm_mixture import NormalMeanMixtures
@@ -20,7 +20,7 @@ def test_sigma_estimation_empirical_expon(self, real_sigma: float, sample_len: i
answer_list = []
for alpha in [round(x, 5) for x in [i * 0.0001 for i in range(1, 10000)]]:
t = math.sqrt(alpha * math.log(sample_len)) / (2 * search_area)
- estimator = NMSemiParametricEstimator("sigma_estimation_empirical", {"t": t})
+ estimator = NMSemiparEstim("sigma_estimation_laplace", {"t": t})
est = estimator.estimate(sample)
left = (est.value**2 - real_sigma**2) ** 0.5
right = (
@@ -39,7 +39,7 @@ def test_sigma_estimation_empirical_uniform(self, real_sigma: float, sample_len:
M = 10
for alpha in [round(x, 4) for x in [i * 0.0001 for i in range(1, 10000)]]:
t = math.sqrt(alpha * math.log(sample_len)) / (2 * search_area)
- estimator = NMSemiParametricEstimator("sigma_estimation_empirical", {"t": t})
+ estimator = NMSemiparEstim("sigma_estimation_laplace", {"t": t})
est = estimator.estimate(sample)
left = abs(est.value**2 - real_sigma**2) ** 0.5
right = 4 * M * search_area / math.sqrt(alpha * math.log(sample_len))
diff --git a/tests/algorithms/nmv_algorithms/semiparametric_g_estimation/__init__.py b/tests/procedures/nmv_procedures/semiparametric_g_estimation/__init__.py
similarity index 100%
rename from tests/algorithms/nmv_algorithms/semiparametric_g_estimation/__init__.py
rename to tests/procedures/nmv_procedures/semiparametric_g_estimation/__init__.py
diff --git a/tests/algorithms/nmv_algorithms/semiparametric_g_estimation/test_g_estimation_given_mu.py b/tests/procedures/nmv_procedures/semiparametric_g_estimation/test_g_estimation_given_mu.py
similarity index 84%
rename from tests/algorithms/nmv_algorithms/semiparametric_g_estimation/test_g_estimation_given_mu.py
rename to tests/procedures/nmv_procedures/semiparametric_g_estimation/test_g_estimation_given_mu.py
index d1f40e0..0cc968f 100644
--- a/tests/algorithms/nmv_algorithms/semiparametric_g_estimation/test_g_estimation_given_mu.py
+++ b/tests/procedures/nmv_procedures/semiparametric_g_estimation/test_g_estimation_given_mu.py
@@ -3,7 +3,7 @@
import pytest
from scipy.stats import expon, gamma
-from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator
+from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiparEstim
from src.generators.nmv_generator import NMVGenerator
from src.mixtures.nmv_mixture import NormalMeanVarianceMixtures
@@ -18,8 +18,8 @@ def test_g_estimation_expon(self, x_data) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=given_mu, distribution=expon)
sample = NMVGenerator().canonical_generate(mixture, n)
- estimator = NMVSemiParametricEstimator(
- "g_estimation_given_mu", {"x_data": x_data, "u_value": 7.6, "v_value": 0.9}
+ estimator = NMVSemiparEstim(
+ "density_estim_inv_mellin_quad_int", {"x_data": x_data, "u_value": 7.6, "v_value": 0.9}
)
est = estimator.estimate(sample)
error = 0.0
diff --git a/tests/algorithms/nmv_algorithms/semiparametric_g_estimation/test_post_widder.py b/tests/procedures/nmv_procedures/semiparametric_g_estimation/test_post_widder.py
similarity index 85%
rename from tests/algorithms/nmv_algorithms/semiparametric_g_estimation/test_post_widder.py
rename to tests/procedures/nmv_procedures/semiparametric_g_estimation/test_post_widder.py
index 2e8d4b3..e3b268c 100644
--- a/tests/algorithms/nmv_algorithms/semiparametric_g_estimation/test_post_widder.py
+++ b/tests/procedures/nmv_procedures/semiparametric_g_estimation/test_post_widder.py
@@ -3,7 +3,7 @@
from mpmath import ln
from scipy.stats import expon, gamma
-from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator
+from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiparEstim
from src.generators.nmv_generator import NMVGenerator
from src.mixtures.nmv_mixture import NormalMeanVarianceMixtures
@@ -20,8 +20,8 @@ def test_post_widder_expon(self, mu, sigma, degree, sample_size) -> None:
sample = NMVGenerator().classical_generate(mixture, sample_size)
x_data = np.linspace(0.5, 10.0, 30)
- estimator = NMVSemiParametricEstimator(
- "g_estimation_post_widder", {"x_data": x_data, "mu": mu, "sigma": sigma, "n": degree}
+ estimator = NMVSemiparEstim(
+ "density_estim_post_widder", {"x_data": x_data, "mu": mu, "sigma": sigma, "n": degree}
)
est = estimator.estimate(sample)
est_data = est.list_value
@@ -43,8 +43,8 @@ def test_post_widder_gamma(self, mu, sigma, degree, sample_size, a) -> None:
sample = NMVGenerator().classical_generate(mixture, sample_size)
x_data = np.linspace(0.5, 10.0, 30)
- estimator = NMVSemiParametricEstimator(
- "g_estimation_post_widder", {"x_data": x_data, "mu": mu, "sigma": sigma, "n": degree}
+ estimator = NMVSemiparEstim(
+ "density_estim_post_widder", {"x_data": x_data, "mu": mu, "sigma": sigma, "n": degree}
)
est = estimator.estimate(sample)
est_data = est.list_value
diff --git a/tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/__init__.py b/tests/procedures/nmv_procedures/semiparametric_mu_estimation/__init__.py
similarity index 100%
rename from tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/__init__.py
rename to tests/procedures/nmv_procedures/semiparametric_mu_estimation/__init__.py
diff --git a/tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/test_semiparametric_mu_estimation.py b/tests/procedures/nmv_procedures/semiparametric_mu_estimation/test_semiparametric_mu_estimation.py
similarity index 88%
rename from tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/test_semiparametric_mu_estimation.py
rename to tests/procedures/nmv_procedures/semiparametric_mu_estimation/test_semiparametric_mu_estimation.py
index f1736f8..bcb9154 100644
--- a/tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/test_semiparametric_mu_estimation.py
+++ b/tests/procedures/nmv_procedures/semiparametric_mu_estimation/test_semiparametric_mu_estimation.py
@@ -3,7 +3,7 @@
import pytest
from scipy.stats import expon, gamma, halfnorm, pareto
-from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiParametricEstimator
+from src.estimators.semiparametric.nmv_semiparametric_estimator import NMVSemiparEstim
from src.generators.nmv_generator import NMVGenerator
from src.mixtures.nmv_mixture import NormalMeanVarianceMixtures
@@ -15,7 +15,7 @@ class TestSemiParametricMuEstimation:
def test_mu_estimation_expon_no_parameters(self, real_mu: float) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation")
+ estimator = NMVSemiparEstim("mu_estimation")
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -23,7 +23,7 @@ def test_mu_estimation_expon_no_parameters(self, real_mu: float) -> None:
def test_mu_estimation_expon_no_parameters_small(self, real_mu: float) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation")
+ estimator = NMVSemiparEstim("mu_estimation")
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -31,7 +31,7 @@ def test_mu_estimation_expon_no_parameters_small(self, real_mu: float) -> None:
def test_mu_estimation_pareto_no_parameters(self, real_mu: float) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=pareto(2.62))
sample = self.generator.canonical_generate(mixture, 50000)
- estimator = NMVSemiParametricEstimator("mu_estimation")
+ estimator = NMVSemiparEstim("mu_estimation")
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -39,7 +39,7 @@ def test_mu_estimation_pareto_no_parameters(self, real_mu: float) -> None:
def test_mu_estimation_pareto_no_parameters_small(self, real_mu: float) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=pareto(2.62))
sample = self.generator.canonical_generate(mixture, 50000)
- estimator = NMVSemiParametricEstimator("mu_estimation")
+ estimator = NMVSemiparEstim("mu_estimation")
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -47,7 +47,7 @@ def test_mu_estimation_pareto_no_parameters_small(self, real_mu: float) -> None:
def test_mu_estimation_halfnorm_no_parameters(self, real_mu: float) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=halfnorm)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation")
+ estimator = NMVSemiparEstim("mu_estimation")
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -55,7 +55,7 @@ def test_mu_estimation_halfnorm_no_parameters(self, real_mu: float) -> None:
def test_mu_estimation_gamma_no_parameters(self, real_mu: float) -> None:
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=gamma(2))
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation")
+ estimator = NMVSemiparEstim("mu_estimation")
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -64,7 +64,7 @@ def test_mu_estimation_expon_1_parameter_m_positive(self, params: dict) -> None:
real_mu = 1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -73,7 +73,7 @@ def test_mu_estimation_expon_1_parameter_m_negative(self, params: dict) -> None:
real_mu = -1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -84,7 +84,7 @@ def test_mu_estimation_expon_1_parameter_max_iterations(self, params: dict) -> N
real_mu = 1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -93,7 +93,7 @@ def test_mu_estimation_expon_1_parameter_m_is_best_estimation(self, params: dict
real_mu = 10
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(est.value == params["m"]) and est.success is False
@@ -104,7 +104,7 @@ def test_mu_estimation_expon_2_parameters_tol_positive(self, params: dict) -> No
real_mu = 1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -115,7 +115,7 @@ def test_mu_estimation_expon_2_parameters_tol_negative(self, params: dict) -> No
real_mu = -1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -132,7 +132,7 @@ def test_mu_estimation_expon_3_parameters_omega_positive(self, params: dict) ->
real_mu = 1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -149,7 +149,7 @@ def test_mu_estimation_expon_3_parameters_omega_negative(self, params: dict) ->
real_mu = -1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -168,7 +168,7 @@ def test_mu_estimation_expon_3_parameters_all_positive(self, params: dict) -> No
real_mu = 1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
@@ -187,6 +187,6 @@ def test_mu_estimation_expon_3_parameters_all_negative(self, params: dict) -> No
real_mu = -1
mixture = NormalMeanVarianceMixtures("canonical", alpha=0, mu=real_mu, distribution=expon)
sample = self.generator.canonical_generate(mixture, 10000)
- estimator = NMVSemiParametricEstimator("mu_estimation", params)
+ estimator = NMVSemiparEstim("mu_estimation", params)
est = estimator.estimate(sample)
assert abs(real_mu - est.value) < 1 and est.success is True
diff --git a/tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/test_validate_kwargs.py b/tests/procedures/nmv_procedures/semiparametric_mu_estimation/test_validate_kwargs.py
similarity index 82%
rename from tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/test_validate_kwargs.py
rename to tests/procedures/nmv_procedures/semiparametric_mu_estimation/test_validate_kwargs.py
index 781caf5..c0dc5de 100644
--- a/tests/algorithms/nmv_algorithms/semiparametric_mu_estimation/test_validate_kwargs.py
+++ b/tests/procedures/nmv_procedures/semiparametric_mu_estimation/test_validate_kwargs.py
@@ -3,7 +3,7 @@
import numpy as np
import pytest
-from src.algorithms.semiparam_algorithms.nvm_semi_param_algorithms.mu_estimation import SemiParametricMuEstimation
+from src.procedures.semiparametric.nvm_semiparametric.mu_estimation import NMVEstimationMu
def _test_omega(x: float) -> float:
@@ -18,7 +18,7 @@ class TestValidateKwargs:
)
def test_set_default_params_len_1_value_error_m(self, params: dict) -> None:
with pytest.raises(ValueError, match="Expected positive integer as parameter m"):
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params",
@@ -26,12 +26,12 @@ def test_set_default_params_len_1_value_error_m(self, params: dict) -> None:
)
def test_set_default_params_len_1_value_error_tolerance(self, params: dict) -> None:
with pytest.raises(ValueError, match="Expected positive float as parameter tolerance"):
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize("params", [{"omega": 1}, {"omega": []}, {"omega": "str"}, {"omega": ()}])
def test_set_default_params_len_3_value_error_omega(self, params: dict) -> None:
with pytest.raises(ValueError, match="Expected callable object as parameter omega"):
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params",
@@ -47,7 +47,7 @@ def test_set_default_params_len_3_value_error_omega(self, params: dict) -> None:
)
def test_set_default_params_len_1_value_error_max_iterations(self, params: dict) -> None:
with pytest.raises(ValueError, match="Expected positive integer as parameter max_iterations"):
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params",
@@ -62,7 +62,7 @@ def test_set_default_params_len_1_value_error_max_iterations(self, params: dict)
)
def test_set_default_params_len_2_value_error_m(self, params: dict) -> None:
with pytest.raises(ValueError, match="Expected positive integer as parameter m"):
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params",
@@ -73,7 +73,7 @@ def test_set_default_params_len_2_value_error_m(self, params: dict) -> None:
],
)
def test_set_default_params_len_3_correct(self, params: dict) -> None:
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params",
@@ -84,17 +84,17 @@ def test_set_default_params_len_3_correct(self, params: dict) -> None:
],
)
def test_set_default_params_len_4_correct(self, params: dict) -> None:
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params", [{"m": 100, "tolerance": 1 / 10}, {"m": 1000, "tolerance": 10**-9}, {"m": 1, "tolerance": 1}]
)
def test_set_default_params_len_2_correct(self, params: dict) -> None:
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize("params", [{"m": 100}, {"m": 1000}, {"m": 1}])
def test_set_default_params_len_1_correct(self, params: dict) -> None:
- SemiParametricMuEstimation()._validate_kwargs(**params)
+ NMVEstimationMu()._validate_kwargs(**params)
@pytest.mark.parametrize(
"params",
@@ -105,14 +105,14 @@ def test_set_default_params_len_1_correct(self, params: dict) -> None:
],
)
def test_init_set_default_params_len_3_correct(self, params: dict) -> None:
- SemiParametricMuEstimation(np.array([1]), **params)
+ NMVEstimationMu(np.array([1]), **params)
@pytest.mark.parametrize(
"params", [{"m": 100, "tolerance": 1 / 10}, {"m": 1000, "tolerance": 10**-9}, {"m": 1, "tolerance": 1}]
)
def test_init_set_default_params_len_2_correct(self, params: dict) -> None:
- SemiParametricMuEstimation(np.array([1]), **params)
+ NMVEstimationMu(np.array([1]), **params)
@pytest.mark.parametrize("params", [{"m": 100}, {"m": 1000}, {"m": 1}])
def test_init_set_default_params_len_1_correct(self, params: dict) -> None:
- SemiParametricMuEstimation(np.array([1]), **params)
+ NMVEstimationMu(np.array([1]), **params)
\ No newline at end of file
diff --git a/tests/algorithms/nv_algorithms/__init__.py b/tests/procedures/nv_procedures/__init__.py
similarity index 100%
rename from tests/algorithms/nv_algorithms/__init__.py
rename to tests/procedures/nv_procedures/__init__.py
diff --git a/tests/algorithms/nv_algorithms/test_g_estimation.py b/tests/procedures/nv_procedures/test_g_estimation.py
similarity index 84%
rename from tests/algorithms/nv_algorithms/test_g_estimation.py
rename to tests/procedures/nv_procedures/test_g_estimation.py
index f618be5..6371bb4 100644
--- a/tests/algorithms/nv_algorithms/test_g_estimation.py
+++ b/tests/procedures/nv_procedures/test_g_estimation.py
@@ -4,7 +4,7 @@
import pytest
from scipy.stats import expon
-from src.estimators.semiparametric.nv_semiparametric_estimator import NVSemiParametricEstimator
+from src.estimators.semiparametric.nv_semiparametric_estimator import NVSemiparEstim
from src.generators.nv_generator import NVGenerator
from src.mixtures.nv_mixture import NormalVarianceMixtures
@@ -17,8 +17,8 @@ def test_g_estimation_expon(self, x_data) -> None:
n = 100
mixture = NormalVarianceMixtures("canonical", alpha=0, distribution=expon)
sample = NVGenerator().canonical_generate(mixture, n)
- estimator = NVSemiParametricEstimator(
- "g_estimation_given_mu", {"x_data": x_data, "u_value": 7.6, "v_value": 0.9}
+ estimator = NVSemiparEstim(
+ "density_estim_inv_mellin_quad_int", {"x_data": x_data, "u_value": 7.6, "v_value": 0.9}
)
est = estimator.estimate(sample)
error = 0.0
diff --git a/tests/algorithms/nv_algorithms/test_post_widder_nv.py b/tests/procedures/nv_procedures/test_post_widder_nv.py
similarity index 86%
rename from tests/algorithms/nv_algorithms/test_post_widder_nv.py
rename to tests/procedures/nv_procedures/test_post_widder_nv.py
index e2fdee3..6dd917d 100644
--- a/tests/algorithms/nv_algorithms/test_post_widder_nv.py
+++ b/tests/procedures/nv_procedures/test_post_widder_nv.py
@@ -3,7 +3,7 @@
from mpmath import ln
from scipy.stats import expon, gamma
-from src.estimators.semiparametric.nv_semiparametric_estimator import NVSemiParametricEstimator
+from src.estimators.semiparametric.nv_semiparametric_estimator import NVSemiparEstim
from src.generators.nv_generator import NVGenerator
from src.mixtures.nv_mixture import NormalVarianceMixtures
@@ -20,8 +20,8 @@ def test_post_widder_expon(self, sigma, degree, sample_size) -> None:
sample = NVGenerator().classical_generate(mixture, sample_size)
x_data = np.linspace(0.5, 10.0, 30)
- estimator = NVSemiParametricEstimator(
- "g_estimation_post_widder", {"x_data": x_data, "sigma": sigma, "n": degree}
+ estimator = NVSemiparEstim(
+ "density_estim_post_widder", {"x_data": x_data, "sigma": sigma, "n": degree}
)
est = estimator.estimate(sample)
est_data = est.list_value
@@ -43,8 +43,8 @@ def test_post_widder_gamma(self, sigma, degree, sample_size, a) -> None:
sample = NVGenerator().classical_generate(mixture, sample_size)
x_data = np.linspace(0.5, 10.0, 30)
- estimator = NVSemiParametricEstimator(
- "g_estimation_post_widder", {"x_data": x_data, "sigma": sigma, "n": degree}
+ estimator = NVSemiparEstim(
+ "density_estim_post_widder", {"x_data": x_data, "sigma": sigma, "n": degree}
)
est = estimator.estimate(sample)
est_data = est.list_value
diff --git a/tests/algorithms/support_algorithms/test_rqmc.py b/tests/procedures/support_procedures/test_rqmc.py
similarity index 97%
rename from tests/algorithms/support_algorithms/test_rqmc.py
rename to tests/procedures/support_procedures/test_rqmc.py
index b5b6558..97171c1 100644
--- a/tests/algorithms/support_algorithms/test_rqmc.py
+++ b/tests/procedures/support_procedures/test_rqmc.py
@@ -3,7 +3,7 @@
import numpy as np
import pytest
-from src.algorithms.support_algorithms.rqmc import RQMC
+from src.procedures.support.rqmc import RQMC
def loss_func(true_func: Callable, rqms: Callable, count: int):