{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
Sepal.LengthSepal.WidthPetal.LengthPetal.WidthSpecies
5.1 3.5 1.4 0.2 setosa
4.9 3.0 1.4 0.2 setosa
4.7 3.2 1.3 0.2 setosa
4.6 3.1 1.5 0.2 setosa
5.0 3.6 1.4 0.2 setosa
5.4 3.9 1.7 0.4 setosa
4.6 3.4 1.4 0.3 setosa
5.0 3.4 1.5 0.2 setosa
4.4 2.9 1.4 0.2 setosa
4.9 3.1 1.5 0.1 setosa
5.4 3.7 1.5 0.2 setosa
4.8 3.4 1.6 0.2 setosa
4.8 3.0 1.4 0.1 setosa
4.3 3.0 1.1 0.1 setosa
5.8 4.0 1.2 0.2 setosa
5.7 4.4 1.5 0.4 setosa
5.4 3.9 1.3 0.4 setosa
5.1 3.5 1.4 0.3 setosa
5.7 3.8 1.7 0.3 setosa
5.1 3.8 1.5 0.3 setosa
5.4 3.4 1.7 0.2 setosa
5.1 3.7 1.5 0.4 setosa
4.6 3.6 1.0 0.2 setosa
5.1 3.3 1.7 0.5 setosa
4.8 3.4 1.9 0.2 setosa
5.0 3.0 1.6 0.2 setosa
5.0 3.4 1.6 0.4 setosa
5.2 3.5 1.5 0.2 setosa
5.2 3.4 1.4 0.2 setosa
4.7 3.2 1.6 0.2 setosa
⋮⋮⋮⋮⋮
6.9 3.2 5.7 2.3 virginica
5.6 2.8 4.9 2.0 virginica
7.7 2.8 6.7 2.0 virginica
6.3 2.7 4.9 1.8 virginica
6.7 3.3 5.7 2.1 virginica
7.2 3.2 6.0 1.8 virginica
6.2 2.8 4.8 1.8 virginica
6.1 3.0 4.9 1.8 virginica
6.4 2.8 5.6 2.1 virginica
7.2 3.0 5.8 1.6 virginica
7.4 2.8 6.1 1.9 virginica
7.9 3.8 6.4 2.0 virginica
6.4 2.8 5.6 2.2 virginica
6.3 2.8 5.1 1.5 virginica
6.1 2.6 5.6 1.4 virginica
7.7 3.0 6.1 2.3 virginica
6.3 3.4 5.6 2.4 virginica
6.4 3.1 5.5 1.8 virginica
6.0 3.0 4.8 1.8 virginica
6.9 3.1 5.4 2.1 virginica
6.7 3.1 5.6 2.4 virginica
6.9 3.1 5.1 2.3 virginica
5.8 2.7 5.1 1.9 virginica
6.8 3.2 5.9 2.3 virginica
6.7 3.3 5.7 2.5 virginica
6.7 3.0 5.2 2.3 virginica
6.3 2.5 5.0 1.9 virginica
6.5 3.0 5.2 2.0 virginica
6.2 3.4 5.4 2.3 virginica
5.9 3.0 5.1 1.8 virginica
\n" ], "text/latex": [ "\\begin{tabular}{r|lllll}\n", " Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species\\\\\n", "\\hline\n", "\t 5.1 & 3.5 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.9 & 3.0 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.7 & 3.2 & 1.3 & 0.2 & setosa\\\\\n", "\t 4.6 & 3.1 & 1.5 & 0.2 & setosa\\\\\n", "\t 5.0 & 3.6 & 1.4 & 0.2 & setosa\\\\\n", "\t 5.4 & 3.9 & 1.7 & 0.4 & setosa\\\\\n", "\t 4.6 & 3.4 & 1.4 & 0.3 & setosa\\\\\n", "\t 5.0 & 3.4 & 1.5 & 0.2 & setosa\\\\\n", "\t 4.4 & 2.9 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.9 & 3.1 & 1.5 & 0.1 & setosa\\\\\n", "\t 5.4 & 3.7 & 1.5 & 0.2 & setosa\\\\\n", "\t 4.8 & 3.4 & 1.6 & 0.2 & setosa\\\\\n", "\t 4.8 & 3.0 & 1.4 & 0.1 & setosa\\\\\n", "\t 4.3 & 3.0 & 1.1 & 0.1 & setosa\\\\\n", "\t 5.8 & 4.0 & 1.2 & 0.2 & setosa\\\\\n", "\t 5.7 & 4.4 & 1.5 & 0.4 & setosa\\\\\n", "\t 5.4 & 3.9 & 1.3 & 0.4 & setosa\\\\\n", "\t 5.1 & 3.5 & 1.4 & 0.3 & setosa\\\\\n", "\t 5.7 & 3.8 & 1.7 & 0.3 & setosa\\\\\n", "\t 5.1 & 3.8 & 1.5 & 0.3 & setosa\\\\\n", "\t 5.4 & 3.4 & 1.7 & 0.2 & setosa\\\\\n", "\t 5.1 & 3.7 & 1.5 & 0.4 & setosa\\\\\n", "\t 4.6 & 3.6 & 1.0 & 0.2 & setosa\\\\\n", "\t 5.1 & 3.3 & 1.7 & 0.5 & setosa\\\\\n", "\t 4.8 & 3.4 & 1.9 & 0.2 & setosa\\\\\n", "\t 5.0 & 3.0 & 1.6 & 0.2 & setosa\\\\\n", "\t 5.0 & 3.4 & 1.6 & 0.4 & setosa\\\\\n", "\t 5.2 & 3.5 & 1.5 & 0.2 & setosa\\\\\n", "\t 5.2 & 3.4 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.7 & 3.2 & 1.6 & 0.2 & setosa\\\\\n", "\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n", "\t 6.9 & 3.2 & 5.7 & 2.3 & virginica\\\\\n", "\t 5.6 & 2.8 & 4.9 & 2.0 & virginica\\\\\n", "\t 7.7 & 2.8 & 6.7 & 2.0 & virginica\\\\\n", "\t 6.3 & 2.7 & 4.9 & 1.8 & virginica\\\\\n", "\t 6.7 & 3.3 & 5.7 & 2.1 & virginica\\\\\n", "\t 7.2 & 3.2 & 6.0 & 1.8 & virginica\\\\\n", "\t 6.2 & 2.8 & 4.8 & 1.8 & virginica\\\\\n", "\t 6.1 & 3.0 & 4.9 & 1.8 & virginica\\\\\n", "\t 6.4 & 2.8 & 5.6 & 2.1 & virginica\\\\\n", "\t 7.2 & 3.0 & 5.8 & 1.6 & virginica\\\\\n", "\t 7.4 & 2.8 & 6.1 & 1.9 & virginica\\\\\n", "\t 7.9 & 3.8 & 6.4 & 2.0 & virginica\\\\\n", "\t 6.4 & 2.8 & 5.6 & 2.2 & virginica\\\\\n", "\t 6.3 & 2.8 & 5.1 & 1.5 & virginica\\\\\n", "\t 6.1 & 2.6 & 5.6 & 1.4 & virginica\\\\\n", "\t 7.7 & 3.0 & 6.1 & 2.3 & virginica\\\\\n", "\t 6.3 & 3.4 & 5.6 & 2.4 & virginica\\\\\n", "\t 6.4 & 3.1 & 5.5 & 1.8 & virginica\\\\\n", "\t 6.0 & 3.0 & 4.8 & 1.8 & virginica\\\\\n", "\t 6.9 & 3.1 & 5.4 & 2.1 & virginica\\\\\n", "\t 6.7 & 3.1 & 5.6 & 2.4 & virginica\\\\\n", "\t 6.9 & 3.1 & 5.1 & 2.3 & virginica\\\\\n", "\t 5.8 & 2.7 & 5.1 & 1.9 & virginica\\\\\n", "\t 6.8 & 3.2 & 5.9 & 2.3 & virginica\\\\\n", "\t 6.7 & 3.3 & 5.7 & 2.5 & virginica\\\\\n", "\t 6.7 & 3.0 & 5.2 & 2.3 & virginica\\\\\n", "\t 6.3 & 2.5 & 5.0 & 1.9 & virginica\\\\\n", "\t 6.5 & 3.0 & 5.2 & 2.0 & virginica\\\\\n", "\t 6.2 & 3.4 & 5.4 & 2.3 & virginica\\\\\n", "\t 5.9 & 3.0 & 5.1 & 1.8 & virginica\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "Sepal.Length | Sepal.Width | Petal.Length | Petal.Width | Species | \n", "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", "| 5.1 | 3.5 | 1.4 | 0.2 | setosa | \n", "| 4.9 | 3.0 | 1.4 | 0.2 | setosa | \n", "| 4.7 | 3.2 | 1.3 | 0.2 | setosa | \n", "| 4.6 | 3.1 | 1.5 | 0.2 | setosa | \n", "| 5.0 | 3.6 | 1.4 | 0.2 | setosa | \n", "| 5.4 | 3.9 | 1.7 | 0.4 | setosa | \n", "| 4.6 | 3.4 | 1.4 | 0.3 | setosa | \n", "| 5.0 | 3.4 | 1.5 | 0.2 | setosa | \n", "| 4.4 | 2.9 | 1.4 | 0.2 | setosa | \n", "| 4.9 | 3.1 | 1.5 | 0.1 | setosa | \n", "| 5.4 | 3.7 | 1.5 | 0.2 | setosa | \n", "| 4.8 | 3.4 | 1.6 | 0.2 | setosa | \n", "| 4.8 | 3.0 | 1.4 | 0.1 | setosa | \n", "| 4.3 | 3.0 | 1.1 | 0.1 | setosa | \n", "| 5.8 | 4.0 | 1.2 | 0.2 | setosa | \n", "| 5.7 | 4.4 | 1.5 | 0.4 | setosa | \n", "| 5.4 | 3.9 | 1.3 | 0.4 | setosa | \n", "| 5.1 | 3.5 | 1.4 | 0.3 | setosa | \n", "| 5.7 | 3.8 | 1.7 | 0.3 | setosa | \n", "| 5.1 | 3.8 | 1.5 | 0.3 | setosa | \n", "| 5.4 | 3.4 | 1.7 | 0.2 | setosa | \n", "| 5.1 | 3.7 | 1.5 | 0.4 | setosa | \n", "| 4.6 | 3.6 | 1.0 | 0.2 | setosa | \n", "| 5.1 | 3.3 | 1.7 | 0.5 | setosa | \n", "| 4.8 | 3.4 | 1.9 | 0.2 | setosa | \n", "| 5.0 | 3.0 | 1.6 | 0.2 | setosa | \n", "| 5.0 | 3.4 | 1.6 | 0.4 | setosa | \n", "| 5.2 | 3.5 | 1.5 | 0.2 | setosa | \n", "| 5.2 | 3.4 | 1.4 | 0.2 | setosa | \n", "| 4.7 | 3.2 | 1.6 | 0.2 | setosa | \n", "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | \n", "| 6.9 | 3.2 | 5.7 | 2.3 | virginica | \n", "| 5.6 | 2.8 | 4.9 | 2.0 | virginica | \n", "| 7.7 | 2.8 | 6.7 | 2.0 | virginica | \n", "| 6.3 | 2.7 | 4.9 | 1.8 | virginica | \n", "| 6.7 | 3.3 | 5.7 | 2.1 | virginica | \n", "| 7.2 | 3.2 | 6.0 | 1.8 | virginica | \n", "| 6.2 | 2.8 | 4.8 | 1.8 | virginica | \n", "| 6.1 | 3.0 | 4.9 | 1.8 | virginica | \n", "| 6.4 | 2.8 | 5.6 | 2.1 | virginica | \n", "| 7.2 | 3.0 | 5.8 | 1.6 | virginica | \n", "| 7.4 | 2.8 | 6.1 | 1.9 | virginica | \n", "| 7.9 | 3.8 | 6.4 | 2.0 | virginica | \n", "| 6.4 | 2.8 | 5.6 | 2.2 | virginica | \n", "| 6.3 | 2.8 | 5.1 | 1.5 | virginica | \n", "| 6.1 | 2.6 | 5.6 | 1.4 | virginica | \n", "| 7.7 | 3.0 | 6.1 | 2.3 | virginica | \n", "| 6.3 | 3.4 | 5.6 | 2.4 | virginica | \n", "| 6.4 | 3.1 | 5.5 | 1.8 | virginica | \n", "| 6.0 | 3.0 | 4.8 | 1.8 | virginica | \n", "| 6.9 | 3.1 | 5.4 | 2.1 | virginica | \n", "| 6.7 | 3.1 | 5.6 | 2.4 | virginica | \n", "| 6.9 | 3.1 | 5.1 | 2.3 | virginica | \n", "| 5.8 | 2.7 | 5.1 | 1.9 | virginica | \n", "| 6.8 | 3.2 | 5.9 | 2.3 | virginica | \n", "| 6.7 | 3.3 | 5.7 | 2.5 | virginica | \n", "| 6.7 | 3.0 | 5.2 | 2.3 | virginica | \n", "| 6.3 | 2.5 | 5.0 | 1.9 | virginica | \n", "| 6.5 | 3.0 | 5.2 | 2.0 | virginica | \n", "| 6.2 | 3.4 | 5.4 | 2.3 | virginica | \n", "| 5.9 | 3.0 | 5.1 | 1.8 | virginica | \n", "\n", "\n" ], "text/plain": [ " Sepal.Length Sepal.Width Petal.Length Petal.Width Species \n", "1 5.1 3.5 1.4 0.2 setosa \n", "2 4.9 3.0 1.4 0.2 setosa \n", "3 4.7 3.2 1.3 0.2 setosa \n", "4 4.6 3.1 1.5 0.2 setosa \n", "5 5.0 3.6 1.4 0.2 setosa \n", "6 5.4 3.9 1.7 0.4 setosa \n", "7 4.6 3.4 1.4 0.3 setosa \n", "8 5.0 3.4 1.5 0.2 setosa \n", "9 4.4 2.9 1.4 0.2 setosa \n", "10 4.9 3.1 1.5 0.1 setosa \n", "11 5.4 3.7 1.5 0.2 setosa \n", "12 4.8 3.4 1.6 0.2 setosa \n", "13 4.8 3.0 1.4 0.1 setosa \n", "14 4.3 3.0 1.1 0.1 setosa \n", "15 5.8 4.0 1.2 0.2 setosa \n", "16 5.7 4.4 1.5 0.4 setosa \n", "17 5.4 3.9 1.3 0.4 setosa \n", "18 5.1 3.5 1.4 0.3 setosa \n", "19 5.7 3.8 1.7 0.3 setosa \n", "20 5.1 3.8 1.5 0.3 setosa \n", "21 5.4 3.4 1.7 0.2 setosa \n", "22 5.1 3.7 1.5 0.4 setosa \n", "23 4.6 3.6 1.0 0.2 setosa \n", "24 5.1 3.3 1.7 0.5 setosa \n", "25 4.8 3.4 1.9 0.2 setosa \n", "26 5.0 3.0 1.6 0.2 setosa \n", "27 5.0 3.4 1.6 0.4 setosa \n", "28 5.2 3.5 1.5 0.2 setosa \n", "29 5.2 3.4 1.4 0.2 setosa \n", "30 4.7 3.2 1.6 0.2 setosa \n", "⋮ ⋮ ⋮ ⋮ ⋮ ⋮ \n", "121 6.9 3.2 5.7 2.3 virginica\n", "122 5.6 2.8 4.9 2.0 virginica\n", "123 7.7 2.8 6.7 2.0 virginica\n", "124 6.3 2.7 4.9 1.8 virginica\n", "125 6.7 3.3 5.7 2.1 virginica\n", "126 7.2 3.2 6.0 1.8 virginica\n", "127 6.2 2.8 4.8 1.8 virginica\n", "128 6.1 3.0 4.9 1.8 virginica\n", "129 6.4 2.8 5.6 2.1 virginica\n", "130 7.2 3.0 5.8 1.6 virginica\n", "131 7.4 2.8 6.1 1.9 virginica\n", "132 7.9 3.8 6.4 2.0 virginica\n", "133 6.4 2.8 5.6 2.2 virginica\n", "134 6.3 2.8 5.1 1.5 virginica\n", "135 6.1 2.6 5.6 1.4 virginica\n", "136 7.7 3.0 6.1 2.3 virginica\n", "137 6.3 3.4 5.6 2.4 virginica\n", "138 6.4 3.1 5.5 1.8 virginica\n", "139 6.0 3.0 4.8 1.8 virginica\n", "140 6.9 3.1 5.4 2.1 virginica\n", "141 6.7 3.1 5.6 2.4 virginica\n", "142 6.9 3.1 5.1 2.3 virginica\n", "143 5.8 2.7 5.1 1.9 virginica\n", "144 6.8 3.2 5.9 2.3 virginica\n", "145 6.7 3.3 5.7 2.5 virginica\n", "146 6.7 3.0 5.2 2.3 virginica\n", "147 6.3 2.5 5.0 1.9 virginica\n", "148 6.5 3.0 5.2 2.0 virginica\n", "149 6.2 3.4 5.4 2.3 virginica\n", "150 5.9 3.0 5.1 1.8 virginica" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "iris" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 第六章 統計モデルによる学習" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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yvL5crwH9DOS6XmNSW3XeaEavPWrf2f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"text/plain": [ "Plot with title “Histogram of dat”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data(morley)\n", "dat <- morley[, 3] + 299000\n", "hist(dat, breaks=seq(299600, 300100, by=20), col=5, ylim=c(0, 17))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.830766906961799" ], "text/latex": [ "0.830766906961799" ], "text/markdown": [ "0.830766906961799" ], "text/plain": [ "[1] 0.8307669" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 一様分布する整数の乱数\n", "x <- runif(10)\n", "max(x)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.982425013557076" ], "text/latex": [ "0.982425013557076" ], "text/markdown": [ "0.982425013557076" ], "text/plain": [ "[1] 0.982425" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x <- runif(100)\n", "max(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "不偏推定量= $\\tilde{\\theta} = \\frac{n+1}{n}\\hat{\\theta}$" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "1.06255852803588" ], "text/latex": [ "1.06255852803588" ], "text/markdown": [ "1.06255852803588" ], "text/plain": [ "[1] 1.062559" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n <- 10\n", "x <- runif(n)\n", "((n+1)/n)* max(x) # 不偏推定量" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.1" } }, "nbformat": 4, "nbformat_minor": 2 }