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@koki-ogura
Last active July 31, 2017 19:05
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From the information that it occurs three times in five years, we estimate how many times a year will occur according to the Poisson distribution.
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# From the information that it occurs 3 times in 5 years, we estimate how many times a year will occur according to the Poisson distribution.\n## P(k times in a year | 3 times in 5 years) = P1(k times in a year | $\\lambda$) P0($\\lambda$ | 3 times in 5 years)\n## So,\n## Determine the probability distribution $\\lambda$ of the P0($\\lambda$ | 3 times in 5 years)\n## and\n## Caluclate P1(k times in a year | $\\lambda$)"
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "%matplotlib inline\n%config inlineBackend.figure_format = 'retina'\nimport numpy as np\nimport pymc3 as pm\n\nitemnum = 1000\nwith pm.Model() as poisson_model:\n # lamda : initial Prior distribution\n #lamda = pm.Uniform('lambda', lower = 0, upper = 10.0)\n lamda = pm.Exponential('lamda', 1.0)\n p0 = pm.Poisson('p0', mu = 5 * lamda, observed = 3)\n p1 = pm.Poisson('p1', mu = lamda)\n start = pm.find_MAP()\n step = pm.NUTS()\n trace = pm.sample(itemnum, step = step, start = start, njobs = 4)",
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"text": "Optimization terminated successfully.\n Current function value: 3.201909\n Iterations: 3\n Function evaluations: 5\n Gradient evaluations: 5\n",
"name": "stdout"
},
{
"output_type": "stream",
"text": "100%|██████████| 1000/1000 [00:03<00:00, 347.38it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "with poisson_model:\n pm.traceplot(trace)",
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x124c889e8>",
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3auOqZLigp+HwVDLn0lpaJStz/SzcySpvbymopmRpoCUnJVNUJ/9W1Edphr2F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\nfYxpBmXWAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "with poisson_model:\n pm.summary(trace)",
"execution_count": 19,
"outputs": [
{
"output_type": "stream",
"text": "\np1:\n\n Mean SD MC Error 95% HPD interval\n -------------------------------------------------------------------\n \n 0.643 0.866 0.038 [0.000, 2.000]\n\n Posterior quantiles:\n 2.5 25 50 75 97.5\n |--------------|==============|==============|--------------|\n \n 0.000 0.000 0.000 1.000 3.000\n\n\nlamda:\n\n Mean SD MC Error 95% HPD interval\n -------------------------------------------------------------------\n \n 0.661 0.327 0.010 [0.112, 1.287]\n\n Posterior quantiles:\n 2.5 25 50 75 97.5\n |--------------|==============|==============|--------------|\n \n 0.184 0.431 0.603 0.838 1.458\n\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "# probability mass function\nimport matplotlib.pyplot as plt\nimport matplotlib.ticker as ticker\n\ndef generate_pmf(d):\n hist = np.histogram(d, max(d) - min(d) + 1)\n return (lambda x: (hist[0] / d.size)[x - min(d)])\nd = trace['p1']\n\npmf = generate_pmf(d)\nx = np.arange(min(d), max(d) + 1)\nplt.rcParams[\"figure.figsize\"] = (8,3)\nplt.title('estimated probability distribution')\nplt.gca().get_xaxis().set_major_locator(ticker.MaxNLocator(integer=True))\nplt.grid(which='major',color='black',linestyle='-')\nplt.xlim(x[0] - 0.5, x[-1] + 0.5)\nplt.bar(x - 0.5, pmf(x), width=1.0, alpha=0.3)\nplt.plot(x, pmf(x), 'o')\nplt.show()",
"execution_count": 20,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x1256dc0b8>",
"image/png": 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},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/22c4045541eb209fb3233e903f86527f"
},
"language_info": {
"name": "python",
"mimetype": "text/x-python",
"version": "3.5.3",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py"
},
"gist": {
"id": "22c4045541eb209fb3233e903f86527f",
"data": {
"description": "From the information that it occurs three times in five years, we estimate how many times a year will occur according to the Poisson distribution.",
"public": true
}
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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