{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 正規分布 - pymc3" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "import os\n", "import sys\n", "import glob\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "%matplotlib inline\n", "%precision 4\n", "#plt.style.use('ggplot')\n", "import seaborn as sns\n", "sns.set_style('white')\n", "sns.set_context('paper')\n", "\n", "np.random.seed(1234)\n", "import pymc3 as pm\n", "import scipy.stats as stats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 正規分布の期待値と分散を推定する\n", "\n", "$$X \\sim N(\\mu, \\sigma^2)$$\n", "\n", "- 試行回数は100回\n", "- 仕込みとして,$\\mu = 10, \\sigma = 2$の正規分布を観測データとして利用する" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 3., 7., 10., 16., 21., 17., 14., 4., 5., 3.]),\n", " array([ 5.5478, 6.408 , 7.2683, 8.1285, 8.9888, 9.8491,\n", " 10.7093, 11.5696, 12.4298, 13.2901, 14.1504]),\n", " )" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UZn0IfD6fVq1aJUl65ZVXdPPmTZc3Sh8nTpzQunXr9P3332vt2rU6ceKE2yullYyMDPl8\nvokz6QcHBx96Jr11IyMj2rlzpxoaGpSZOeufUh7bhQsXVF5eruzsbLdXmdKs/7/28ssvq729XZJ0\n7dq1id+ThPuf2PLy8jQ0NOTyRuklkUiotLRUra2tkqTz58+rvLzc5a3Sx/gpSJ9//rlqamq0dOlS\nlzdKH4lEQh0dHWppaVF9fb1u3LihAwcOuL3WI5k4oWzv3r0KhUJ65plntH//fnk8T3QZhlmnv79f\nW7Zs0ejoqLxer7788kvz/+KNxWKqr6/XtWvXtGzZMm3ZskUXL17UTz/9pEWLFmnPnj2mv38efHw2\nb96sDz74QMuWLZMkvf/++6qqqnJ5S3f892NTUlKiTz75RIFAQNK937vW1NTk8oaPZiIEAIBHm/Vv\nDQEAkiMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHH/AT4S8RmKTNnOAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 観測データを生成\n", "N = 100\n", "_mu = np.array([10])\n", "_sigma = np.array([2])\n", "y = np.random.normal(_mu, _sigma, N)\n", "plt.hist(y)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1000 of 1000 complete in 0.9 sec" ] }, { "data": { "image/png": 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GtLSZPbY3G0z49lAtbHZnhCSj9BWsNgc6u62RFoMSBK0dZnSbL942GGE3sJqamnDrrbdi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\nIxgAn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GAyamDq+xtncP5/XN/reu3Q9bCZTCasXbsWjzzyiOzrO3bsQGJiIm3GEQRBEG6E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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "niter = 1000\n", "with pm.Model() as model:\n", " # 事前分布\n", " mu = pm.Uniform('mu', lower=0, upper=100, shape=_mu.shape)\n", " sigma = pm.Uniform('sigma', lower=0, upper=10, shape=_sigma.shape)\n", "\n", " # 尤度\n", " y_obs = pm.Normal('Y_obs', mu=mu, sd=sigma, observed=y)\n", "\n", " # 推定\n", " start = pm.find_MAP()\n", " step = pm.Slice()\n", " trace = pm.sample(niter, step, start, random_seed=123, progressbar=True)\n", " pm.traceplot(trace)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "plt.subplot(1,2,1);\n", "plt.hist(trace['mu'][-niter/2:,0], 25, histtype='step');\n", "plt.subplot(1,2,2);\n", "plt.hist(trace['sigma'][-niter/2:,0], 25, histtype='step');" ] } ], "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }