{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Введение в анализ данных" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2022-03-27T20:19:50.461348Z", "start_time": "2022-03-27T20:19:49.814617Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import scipy.stats as sps\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "sns.set(font_scale=1.5, palette='Set2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Оценки параметров\n", "\n", "На занятии мы рассмотрели пример поиска оценок методом моментов для выборки $X_1, ..., X_n$ из экспоненциального распределения с параметром $\\theta$. В стандартном методе моментов мы получили оценку $\\widehat{\\theta}_1 = 1\\left/\\overline{X}\\right.$, а в обобщенном с пробной функцией $g(x) = x^2$ — оценку $\\widehat{\\theta}_2 = \\sqrt{1\\left/\\overline{X^2}\\right.}$. Прежде всего заметим, что выбирая разные пробные функции мы можем получить разные оценки параметров. Фактически, пробная функция это *гиперпараметр* метода, которые выбирается пользователем.\n", "\n", "Возникает **вопрос**: какая оценка лучше?\n", "\n", "Пока что ни одна их них не является лучше другой, и даже ни одна из них не является лучше или хуже оценки $\\widehat{\\theta}_3 = 100500$. Нам только интуитивно понятно, что оценка $\\widehat{\\theta}_3$ не должна быть хорошей.\n", "\n", "### Небольшое исследование\n", "\n", "Проведем численный эксперимент. Сгенерируем 50000 выборок размера 1000 из распределения $Exp(1/5)$ и посчитаем обе оценки, полученные по методу моментов, в зависимости от размера выборки. Обратите внимание, что в `scipy.stats` экпоненциальное распределение имеет параметр `scale`, который равен 5 для $Exp(1/5)$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2022-03-27T20:19:56.675622Z", "start_time": "2022-03-27T20:19:50.463587Z" } }, "outputs": [], "source": [ "sample_size = 1000 # размер выборки\n", "samples_count = 50000 # количество выборок\n", "\n", "samples = sps.expon(scale=5).rvs(size=(samples_count, sample_size))\n", "\n", "# Считаем оценки\n", "theta_1 = (np.arange(sample_size) + 1) / samples.cumsum(axis=1)\n", "theta_2 = np.sqrt(2*(np.arange(sample_size) + 1) / (samples**2).cumsum(axis=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Визуализируем зависимость каждой из оценок от размера выборки. Для наглядности возьмем только первые 100 выборок" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2022-03-27T20:19:57.496587Z", "start_time": "2022-03-27T20:19:56.677377Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 12))\n", "\n", "for j, theta in enumerate([theta_1, theta_2]):\n", " plt.subplot(2, 1, j+1)\n", " \n", " # рисуем для каждой выборки отдельно\n", " for i in range(100):\n", " plt.plot(np.arange(sample_size) + 1, theta_1[i], color='green', alpha=0.2)\n", "\n", " plt.xlabel('Размер выборок')\n", " plt.ylabel('Значение оценки')\n", " plt.title('Оценка $\\\\widehat{\\\\theta}_' + str(j+1) + '$ для 100 выборок')\n", " plt.xlim((0, sample_size))\n", " plt.ylim((0, 1))\n", " \n", "plt.tight_layout() # чтобы графики не перекрывались" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "По графикам видно, что во всех случаях с ростом размера выборки значение оценки сходится к истинному значению параметра.\n", "\n", "Построим ядерные оценки плотности значений оценок в зависимости от значения параметра для трех разных размеров выборок" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2022-03-27T20:19:58.999434Z", "start_time": "2022-03-27T20:19:57.497921Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16, 4))\n", "\n", "for i, size in enumerate([50, 200, 1000]):\n", " plt.subplot(1, 3, i+1)\n", " sns.kdeplot(theta_1[:, size-1], lw=3, label='$\\\\widehat{\\\\theta}_1$')\n", " sns.kdeplot(theta_2[:, size-1], lw=3, label='$\\\\widehat{\\\\theta}_2$')\n", " plt.legend()\n", " plt.title(f'Размер выборки {size}')\n", " plt.xlabel('Значение параметра')\n", " if i>0: plt.ylabel('')\n", " \n", "plt.tight_layout() # чтобы графики не перекрывались" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "По гистограммам видно, что разброс оценки $\\widehat{\\theta}_2$ немного больше разброса оценки $\\widehat{\\theta}_1$ потому как оценка плотности для нее визуально шире.\n", "\n", "Сравним оценки по MSE, а именно, для каждого размера выборки:\n", "* посчитаем квадрат отклонения значения оценки от истинного значения параметра, равного 1/5;\n", "* усредним полученне значения по всем сгенерированным выборкам.\n", "\n", "Построим график зависимости полученных значений от размера выборки в логарифмическом масштабе." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2022-03-27T20:19:59.682005Z", "start_time": "2022-03-27T20:19:59.000800Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 4))\n", "plt.plot(\n", " ((theta_1 - 1/5)**2).mean(axis=0), \n", " lw=3,\n", " label='$\\\\widehat{\\\\theta}_1$'\n", ")\n", "plt.plot(\n", " ((theta_2 - 1/5)**2).mean(axis=0), \n", " lw=3,\n", " label='$\\\\widehat{\\\\theta}_2$'\n", ")\n", "plt.title('Сравнение оценок')\n", "plt.xlabel('Размер выборки')\n", "plt.ylabel('MSE')\n", "plt.yscale('log')\n", "plt.legend()\n", "plt.ylim((None, 1e-2));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Как видим по графику, в среднем первая оценка имеет меньшую ошибку для всех рассмотренных размеров выборки. Однако, стоит отметить, что мы рассмотрели только одно значение параметра." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }