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@genkuroki
Created October 24, 2017 08:31
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一様分布からPoisson分布を得る方法
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# 一様分布からPoisson分布を得る方法\n\n黒木玄\n\n2017-10-24\n\n結局のところ二項分布からPoisson分布を得る方法と本質的に同じ。\n\n$(0,n/\\lambda)$ 区間の一様乱数を $n$ 回発生させたとき、$(0,1)$ 区間に入る乱数の個数を $K_n$ とすると、$n\\to\\infty$ のとき $K_n$ の分布は平均 $\\lambda$ のPoisson分布に収束する。\n\n$K_n=k$ となる確率は $p=\\lambda/n$ の二項分布に従っているので、$n\\to\\infty$ で\n\n$$\\displaystyle\nP(K_n=k) = \\binom{n}{k}\\left(\\frac{\\lambda}{n}\\right)^k\\left(1-\\frac{\\lambda}{n}\\right)^{n-k}\n\\to e^{-\\lambda}\\frac{\\lambda^k}{k!}.\n$$\n\n収束先は平均 $\\lambda$ のPoisson分布になる."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Distributions\nusing PyPlot",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "CountRandUnif(n, λ) = count(x -> x < 1.0, rand(Uniform(0.0, n/λ), n))\n\nfunction CountRandUnif(n, λ, N)\n local K = Array{Int64}(N)\n for i in 1:N\n K[i] = CountRandUnif(n,λ)\n end\n return K\nend",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "CountRandUnif (generic function with 2 methods)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 30\nλ = 10.0\nN = 10^5\n@time K = CountRandUnif(n,λ,N);\nepdf(k) = count(x->x==k, K)/length(K)\n\nsleep(0.1)\nkmax = 26\nk = collect(0:kmax)\nplot(k, epdf.(k), label=\"epdf of CountRandUnif\")\nplot(k, pdf(Poisson(λ), k), label=\"pdf of Poisson($λ)\", ls=\"--\")\ngrid(\"on\", ls=\":\")\nxlabel(\"k\")\nylabel(\"probability of K=k\")\nlegend()\ntitle(\"n = $n, λ = $λ, N = $N\")",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": " 0.091501 seconds (107.59 k allocations: 33.230 MiB, 14.19% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002B650400>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002F8B5BA8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 10^2\nλ = 10.0\nN = 10^5\n@time K = CountRandUnif(n,λ,N);\nepdf(k) = count(x->x==k, K)/length(K)\n\nsleep(0.1)\nkmax = 26\nk = collect(0:kmax)\nplot(k, epdf.(k), label=\"epdf of CountRandUnif\")\nplot(k, pdf(Poisson(λ), k), label=\"pdf of Poisson($λ)\", ls=\"--\")\ngrid(\"on\", ls=\":\")\nxlabel(\"k\")\nylabel(\"probability of K=k\")\nlegend()\ntitle(\"n = $n, λ = $λ, N = $N\")",
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": " 0.110879 seconds (100.01 k allocations: 86.212 MiB, 13.39% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000029675240>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002F704A90>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 3*10^2\nλ = 10.0\nN = 10^5\n@time K = CountRandUnif(n,λ,N);\nepdf(k) = count(x->x==k, K)/length(K)\n\nsleep(0.1)\nkmax = 26\nk = collect(0:kmax)\nplot(k, epdf.(k), label=\"epdf of CountRandUnif\")\nplot(k, pdf(Poisson(λ), k), label=\"pdf of Poisson($λ)\", ls=\"--\")\ngrid(\"on\", ls=\":\")\nxlabel(\"k\")\nylabel(\"probability of K=k\")\nlegend()\ntitle(\"n = $n, λ = $λ, N = $N\")",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": " 0.313514 seconds (100.01 k allocations: 244.904 MiB, 11.86% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F5BA278>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002F64A0B8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 10^3\nλ = 10.0\nN = 10^5\n@time K = CountRandUnif(n,λ,N);\nepdf(k) = count(x->x==k, K)/length(K)\n\nsleep(0.1)\nkmax = 26\nk = collect(0:kmax)\nplot(k, epdf.(k), label=\"epdf of CountRandUnif\")\nplot(k, pdf(Poisson(λ), k), label=\"pdf of Poisson($λ)\", ls=\"--\")\ngrid(\"on\", ls=\":\")\nxlabel(\"k\")\nylabel(\"probability of K=k\")\nlegend()\ntitle(\"n = $n, λ = $λ, N = $N\")",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": " 1.000540 seconds (100.01 k allocations: 775.910 MiB, 9.49% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F677860>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x0000000038D1CBA8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
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"display_name": "Julia 0.6.0",
"language": "julia"
},
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"colors": {
"hover_highlight": "#DAA520",
"selected_highlight": "#FFD700",
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"language_info": {
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"gist": {
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"data": {
"description": "一様分布からPoisson分布を得る方法",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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