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@tok41
Created July 8, 2018 06:47
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 目的\n",
"- 事後分布に基づいて、エンゼルが当たるまでの購入数を見積もる"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import sys, os\n",
"import sqlite3\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc as pm\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from datetime import datetime as dt\n",
"\n",
"import scipy.stats as stats\n",
"\n",
"import ChocoUtils as cu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## データを取得する\n",
"- 金のエンゼル2倍キャンペーンを除いた期間のデータを集計する"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SELECT measure_date, best_before, prd_number, weight, box_weight, ball_number, factory, shop, angel, campaign, taste, buyer, (weight - box_weight), (weight - box_weight)/ball_number FROM measurement WHERE campaign is not 1;\n",
"Shape of MeasurementData(record_num, n_columns) : (156, 14)\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>weight</th>\n",
" </tr>\n",
" <tr>\n",
" <th>angel</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>148</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>8</td>\n",
" </tr>\n",
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"</table>\n",
"</div>"
],
"text/plain": [
" weight\n",
"angel \n",
"0 148\n",
"1 8"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = cu.get_data(db_file='../../data/choco-ball.db', filter_str=\"campaign is not 1\")\n",
"data.groupby(['angel']).count()[['weight']]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## エンゼル出現確率の予測"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def getMCMCResult(data, n_sample=15000, n_burn=5000):\n",
" \"\"\"\n",
" MCMCでエンゼルの出現確率を予測する\n",
" Args:\n",
" data:エンゼルの観測結果(array)\n",
" n_sample:MCMCシミュレーションの回数(integer)\n",
" n_burn:捨てる数(integer)\n",
" \"\"\"\n",
" # 出現確率pの事前分布\n",
" p = pm.Uniform('p', lower=0, upper=1)\n",
" # 観測を結びつける\n",
" obs = pm.Bernoulli('obs', p, value=data, observed=True)\n",
"\n",
" # MCMC\n",
" # Modelオブジェクト生成\n",
" model = pm.Model([p, obs])\n",
" mcmc = pm.MCMC(model)\n",
" mcmc.sample(n_sample, n_burn)\n",
"\n",
" return mcmc.trace('p')[:]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 15000 of 15000 complete in 0.7 sec"
]
}
],
"source": [
"# 銀のエンゼル\n",
"data_angel = np.array([1 if a == 1 else 0 for a in data['angel'].values])\n",
"mle_silver = sum(data_angel == 1) / len(data_angel)\n",
"p_trace_s = getMCMCResult(data_angel)\n",
"\n",
"# 金のエンゼル\n",
"data_angel = np.array([1 if a == 2 else 0 for a in data['angel'].values])\n",
"mle_gold = sum(data_angel == 1) / len(data_angel)\n",
"p_trace_g = getMCMCResult(data_angel)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"95% BayesCredibleInterval : 0.030129036788200482-0.08956512180898077\n",
"ExpectedValue : 0.05713119280638333\n",
"95% BayesCredibleInterval : 0.00030304029371708806-0.019559407280593022\n",
"ExpectedValue : 0.006800185190563613\n",
"MLE(silver) : 0.05128205128205128\n",
"MLE(gold) : 0.0\n"
]
},
{
"data": {
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Tr169UkopvfLKK2nYsGEppZR+8pOfpPe///3p9ddfb0jHH/7wh5RSatj+0UcfTZMmTUqbN29OmzZtSieccEL6n//5n622mT17durdu3eqra1NmzZtSmPGjEm//vWvG+JdvXp1Siml1atXp8MOOyytXbs2pZTSVVddlb71rW81ma4DDzwwLV26tGG7adOmbXXdU0rpU5/6VPr5z3+eUkpp4sSJ6e67797mem3zW00pAfPTdsqEcpuAQcDiRssmAnOBnfOWXQpcmjf/KDC2pWOPyv59Fq0sMO9WhbGMtIzM36Zay8jWPJE7FDgPOKLRqwa+FxGLIuJp4PCsMiepQnz4wx/mkksu4eijj2b8+PEceOCBdO3a8qsnjz76aBYsWMCDDz7I/fffz/HHH88LL7zAaaedxqRJk5pt2jB79mwWL17MokWLmDx5csPdsR/96EcceOCBjBkzhtraWl566SV69erFEUccwUMPPcTzzz/Pu+++y4gRI3jiiSdYsGABBx98MCNHjuSJJ57g5ZdfZt999+Xll1/mi1/8Io888gi9e/cmpbTdkaTOPPNMANauXcv//u//cvrppzfcxVy5ciUAv/3tbzn77LMBOO+881q8Lv369aNnz5588pOf5De/+c1W62fNmsWsWbP46Ec/ykEHHcTzzz/f0EQn3yGHHMKAAQPYaaedGDlyJMuWLdtmm3nz5vHss89y6KGHMnLkSGbMmMEf//jHbdIFcMYZZ3DXXXcBcOeddzasmz17Nh/72McYMWIEv/zlL3nmmWdavFbVKiLGA5cAJ6eU8n/cPwfOiojuETEYGAL8vhQxSioOy0jLyM5QRm73heAppd/QdDMRXzcgdaTUykf3NTW5qQAuvPBCLrzwQgC+9rWvMWBAbiyHPffck5UrV9K/f39WrlzJHnvssdV+b7/9NjNmzODRRx/lmGOO4YEHHuC2225j5syZTJo0qdnz7bfffuy55548++yzvP322zz++OPMnTuXnXfemXHjxjW8i+Uzn/kM3/nOd/jQhz7EBRdcAORaF0ycOJF//dd/3ea4Cxcu5NFHH+W6667jrrvu4uabb6ZXr14NhVhTevXqBcDmzZvp27cvTz31VJPbtWZo4cbbNJ5PKXHppZdy0UUXtXic7t27N3zu0qULGzdu3GablBJHH300t99+e5PHqE8X5Aqs008/nU9+8pNEBEOGDOGdd97h85//PPPnz2fvvfdm6tSpvicOiIjbgXHAbhGxHLic3JO37sBj2Xc6L6X02ZTSMxFxF/AsuSaXX0gplUeHC6lcWUZaRlZhGblDo1ZWpEmTcpNax+tVVVatWgXAq6++yn333ddwZ+3kk09mxowZAMyYMYNTTjllq/2+973v8eUvf5lu3bqxfv16IoKddtppu52NV61axSuvvMI+++zDm2++yS677MLOO+/M888/z7x58xq2+9jHPkZtbS233XZbQ0xHHnkk99xzT0PMa9as4Y9//COvv/46mzdv5tRTT2XatGk8+eSTAFx66aV84Qtf4K233gJyfQ/q+xjk6927N4MHD+buu+8GcoXAwoULATj00EO54447AJg5c+Y2+9Z77LHHWLNmDevXr+f+++/n0EMP3Wr9sccey80339xwl/VPf/pTQzpa433vex9//etfARgzZgy//e1vWbJkCZD7D8OLL77Y5H777bcfXbp0Ydq0aQ13GusLpN122421a9dW7SiVjaWUzk4p9U8pdUspDUgp3ZRS+mBKae+05X2qn83b/tsppf1SSvunlB5u6dgAb3bflUXHnVG8BJh3SwVnGWkZWeoycrtP5CpeEz9KtcDrVVVOPfVU6urq6NatG9ddd11DJ+uvfvWrnHHGGdx0000MHDiwIQOH3LDC8+fPZ2o2fvrFF1/MmDFj6Nu3b0OH78YOP/xwunTpwrvvvstVV13Fnnvuyfjx4/nxj3/MAQccwP7778+YMWO22ueMM87gqaeeaojpIx/5CFdeeSXHHHMMmzdvboi5Z8+eXHDBBWzevBmg4W7k5z73OdauXcvBBx9Mt27d6NatGxdffHGT8c2cOZPPfe5zXHnllbz77rucddZZHHjggVxzzTWcc845XHPNNZx66qnNXsePf/zjnHfeeSxZsoRzzjmH0aNHb7X+mGOO4bnnnmPs2LFAbjjln/70p9vcxW1OTU0Nxx13HP3792f27NnccsstnH322WzYsAGAK6+8kqFDhza575lnnsk///M/88orrwDQt29fJk2axIgRIxg0aBAHH3xwq2JQ+6zqtTePT2l55Lp2Me+WCs4yMscysnQitfZRdAGMHj06zZ8/v8PO1+nclntUfPXuLwBw7cUD6NpnPZ+9LDdK2SO39mPsfv18f5CA3IhYH/7wh0sdRqd14oknMmXKFI488shSh1L1mvqtRsSClDcao1rWp9/INPWOXF8MywJp+ywjW2YZ2XkUs4y0aeWCBblJreP1Uon95S9/YejQofTs2dMCShWj+8b17PHi4uKdwLxbqgqWkdXFppX1j2878MlkWfN6qcT69u3bbHt2qVwNfOtFzp18KlfPeqE4JzDvlqqCZWR18YmcJEmSyk5Hdg+S2qLYv1ErcpIkSSorPXr0oK6uzsqcOq2UEnV1dfTo0aNo57BppSRJksrKgAEDWL58OatXry51KFKzevTo0fB+wWKwIidJkqSy0q1bNwYPHlzqMKSSsmmlpGZFBOedd17D/MaNG9l999058cQTAbjllluYPHnyNvsNGjSIESNGMHLkSEaOHMmXvvSlDotZkiSpGvhETlKzevXqxeLFi1m/fj09e/bkscceY6+99mrVvrNnz2a33XYrcoSSJEnVySdy8+fnJrWO16vqHHfccfziF78A4Pbbb+fss88ucURS5Xm191BmXntv8U5g3i1JFccncqNGlTqC8uL1Kp3borDHO6d1I32dddZZXHHFFZx44ok8/fTTfPrTn+bXv/71dvc7/PDD6dKlCwATJ05kypQp7QpXqmQbuvZk1dDhxTuBebckVRwrcpJadMABB7Bs2TJuv/12jj/++FbvZ9NKSZKk4rEiV1OT+zt9emnjKBder9Jp5RO0Yjj55JP5p3/6J+bMmUNdXV3J4pAq1R7rajnq6m/y+JRpxTmBebckVRz7yN14Y25S63i9qtKnP/1pLrvsMkaMGFHqUKSK1GfDGkY8fFfxTmDeLUkVxydykrZrwIABfPnLX25y3S233ML999/fMD9v3jxg6z5yBxxwALfeemvxA5UkSaoSVuQkNWvt2rXbLBs3bhzjxo0D4Pzzz+f888/fZptly5YVNzBJkqQqZ9NKSZIkSSozVuQkSZIkqcxYkZM6sZRKN1Kl1Br+RiVJKg37yB10UKkjKC9erw7To0cP6urq6NevHxEFfhm4VAApJerq6ujRo0epQyl7G7r05LXB+xbvBObdklRxrMgtWFDqCMqL16vDDBgwgOXLl7N69epShyI1q0ePHgwYMKDUYZS9V/sM5bbri/j6AfNuSao4VuSkTqpbt24MHjy41GFIkiSpE7KPnCRJkiSVGStyEblJreP1kqSCG7JmIVOO2b94JzDvlqSKY9PKIpo6tdH80JKEIUmSJKnC+ESuyOYurWuYJEnlKSJujohVEbE4b9muEfFYRLyU/d0lWx4R8aOIWBIRT0eEQ0ZKkgrOJ3Lt1PipW1PLx0/IKnEOPihJ5eoW4Frg1rxlXwWeSCldFRFfzeYvAY4DhmTTx4D/yP5KklQwVuQKoPHTtrH79StRJJKkYkgp/SoiBjVafAowLvs8A5hDriJ3CnBryr0tfV5E9I2I/imllR0TrSSpGti0skDGT6jb8uRNklQN9qyvnGV/98iW7wXU5m23PFu2lYioiYj5ETG/6JFKkiqOFTlJkgqrqeEh0zYLUpqeUhqdUhrdATFJkiqMTStvuKHUEZQXr5ck1XutvslkRPQHVmXLlwN75203AFjR4oF6DeDxz9QUKUzMuyWpAm23IhcRe5Pr3P1+YDMwPaV0TUTsCtwJDAKWAWeklN4oXqhFUlPEgrMSeb0kqd7PgYnAVdnfB/KWT46IO8gNcvLm9vrHvdW9H4tOOLN4kZp3S1LFaU3Tyo3AxSmlDwNjgC9ExEfYMlrXEOCJbF6SpIoTEbcDc4H9I2J5RFxIrgJ3dES8BBydzQP8N/AysAS4Efh8CUKWJFW47T6Ry+4i1nfm/mtEPEeu03Zzo3WVl+nTc3+9W9k6Xi9JVSildHYzq45sYtsEfGFHjt97Qx0jfnFn8Z7KmXdLUsXZocFOsqGXPwr8juZH62q8T8OoXKtXd8IXqV10UW5S63i9JKng9ly3nKOuuax4JzDvlqSK0+qKXES8F7gX+MeU0lut3S9/VK7dd9+9LTFKkiRJkvK0qiIXEd3IVeJmppTuyxa/lo3SRaPRuiRJkiRJRdSaUSsDuAl4LqX073mrmhutq6JNnbr1/Jw5sHJTKSKRJEmSVK1a8x65Q4HzgEUR8VS27GvkKnB3ZSN3vQqcXpwQO5+5S+saPteu6UnXPiUMRpIkSVLVac2olb8BopnV24zWVS3GT8hV5q69eECHnbPx08DmlkmSJEmqbK15IqdOJP9p4Nj9+pUwEkmSJEmlskOvH6hIKeWmMlL/NLAkyvB6SVJn99KuB3L1rBeKdwLzbkmqOD6R60SWLOzJhtptm0vafFKSJElSPitynczKTXXMXbpl3uaTkiRJkhqzaeWoUbmpExk/oa60zSdb0gmvlySVu4Fvvsg5n/9k8U5g3i1JFccnck8+WeoIyovXS5IKrvum9ey55JnincC8W5Iqjk/kJEmSJKnMWJGTJEmSpDJj08oCyx95cs4cWLmp1BFJkiRJqjRW5IqgfuTJ2jU96dqn1NFIkiRJqjQ2rSySTjvqpCRJkqSy5xO5SZNKHUF58XpJUsG92X1XFh1xVPFOYN4tSRXHitz06aWOoLx4vSSp4Fb12pvHp0wr3gnMuyWp4ti0UpIkSZLKjBW5BQtyk1rH6yVJBdd943r2eHFx8U5g3i1JFcemlaNH5/6mVNo4yoXXS5IKbuBbL3Lu5FO5etYLxTmBebckVRyfyEmSJElSmbEiJ0mSJEllxoqcJEmSJJUZ+8hViKlTd2y5JKkwImIK8BkgAYuAC4D+wB3ArsCTwHkppb+VLEhJUsXxiVwFmbu0bqtJklRcEbEX8CVgdEppONAFOAv4LnB1SmkI8AZwYemilCRVIityFWb8hDrGT7ASJ0kdqCvQMyK6AjsDK4EjgHuy9TOAT5QoNklShbJp5fz5pY6gvHi9JKlBSulPEfF94FVgPTALWAD8JaW0MdtsObBX430jogaoAdilxx7M/P5/FC9Q825JqjhW5EaNKnUE5cXrJUkNImIX4BRgMPAX4G7guCY23eYFbiml6cB0gD79RqZVQ4cXL1DzbkmqOFbkytSShT3ZULtlMJM5c2DlplJGJElV6SjglZTSaoCIuA/4O6BvRHTNnsoNAFaUMEZJUgWyj1xNTW4qQys3bRnYpHbN2x1z0jK+XpJUBK8CYyJi54gI4EjgWWA2cFq2zUTggZYOsse6Wo66+pvFi9K8W5IqjhW5G2/MTWWqwwc3KfPrJUmFlFL6HblBTZ4k9+qBncg1l7wE+EpELAH6ATe1dJw+G9Yw4uG7iheoebckVRybVkqS1A4ppcuByxstfhk4pAThSJKqhE/kJEmSJKnMWJGTJEmSpDJj08pOzJEpJUmSJDXFilwnlxuZMve5dk1PuvYpbTySJEmSSm+7FbmIuBk4EViVUhqeLZsKTAJWZ5t9LaX038UKsqgOOqjUEWxX/aiU1148oMSRUBbXS5LKzYYuPXlt8L7FO4F5tyRVnNY8kbsFuBa4tdHyq1NK3y94RB1twYJSR1BevF6SVHCv9hnKbdcX8fUD5t2SVHG2O9hJSulXwJoOiEWSJEmS1Art6SM3OSImAPOBi1NKbzS1UUTUADUAAwcObMfpJEmqfI0HuqrXeF6SVN3a+vqB/wD2A0YCK4EfNLdhSml6Sml0Smn07rvv3sbTFVFEblLreL0kqeCGrFnIlGP2b5jPDXS1ZWo3825JqjhtqsillF5LKW1KKW0GbgQOKWxYkiRK1Ag2AAAWdElEQVRVt/ET6hoGu5IkqbE2VeQion/e7P8HLC5MOJIkSZKk7WnN6wduB8YBu0XEcuByYFxEjAQSsAy4qIgxSpIkSZLybLcil1I6u4nFNxUhFkmSJElSK7R1sBNJkiRJUom05/UDFam54Z0d9lmSJElSZ2FF7oYbtlnUeKjnsfv166hoOr8mrpckqX1e6zWAxz9TU7wTmHdLUsWxIlfTdMFZP+TzI7daidtKM9dLktR2b3Xvx6ITzizeCcy7Jani2EdOkiRJksqMFbnp03OTWsfrJUkF13tDHSN+cWfxTmDeLUkVx4rcRRflJrWO10uSCm7Pdcs56prLincC825JqjhW5CRJkiSpzFiRkyRJkqQyY0VOkiRJksqMFTlJkiRJKjNW5CRJkiSpzFiRkySpHSKib0TcExHPR8RzETE2InaNiMci4qXs7y6ljlOSVFmsyKWUm9Q6Xi9Jauwa4JGU0oeAA4HngK8CT6SUhgBPZPPNemnXA7l61gvFi9C8W5IqTtdSB9DZLVnYkw21MHVqbn7OHFi5qZQRSZI6i4joDfw9cD5ASulvwN8i4hRgXLbZDGAOcEnHRyhJqlRW5Fph5aY65i7Nfa5d05OufUobjySp09gXWA38JCIOBBYAXwb2TCmtBEgprYyIPUoYoySpAtm0ctSo3LQd4yfUMX5CXQcE1Mm18npJUpXoChwE/EdK6aPAOrbTjLJeRNRExPyImD/gL89yzuc/WbwozbslqeL4RO7JJ0sdQXnxeklSvuXA8pTS77L5e8hV5F6LiP7Z07j+wKrGO6aUpgPTAUZHpD2XPFO8KM27Jani+EROkqQ2Sin9GaiNiP2zRUcCzwI/ByZmyyYCD5QgPElSBfOJnCRJ7fNFYGZEvAd4GbiA3I3SuyLiQuBV4PQSxidJqkBW5CRJaoeU0lPA6CZWHdnRsUiSqodNKyVJkiSpzFiRkyRJkqQyY9PKSZNKHUF58XpJUsG92X1XFh1xVPFOYN4tSRXHitz06aWOoLx4vSSp4Fb12pvHp0wr3gnMuyWp4ti0UpIkSZLKjBW5BQtyk1rH6yVJBdd943r2eHFx8U5g3i1JFcemlaOzEaNTKm0c5cLrJUkFN/CtFzl38qlcPeuF4pzAvFuSKo5P5CRJkiSpzPhErkItWdiTDbUwderWyxvPS5IkSSo/VuQq2MpNdcxdumV+7H79SheMJEmSpIKxaWWFGz+hjvET6kodhiRJkqQCsiInSZIkSWVmuxW5iLg5IlZFxOK8ZbtGxGMR8VL2d5fihilJkiRJqteaJ3K3AOMbLfsq8ERKaQjwRDZfnubPz01qHa+XJBXcq72HMvPae4t3AvNuSao42x3sJKX0q4gY1GjxKcC47PMMYA5wSQHj6jBTHxyV+/Bg7s+cObByU8nCKZqCjWI5alSBIpIk1dvQtSerhg5vcl1B8m/zbkmqOG0dtXLPlNJKgJTSyojYo7kNI6IGqAEYOHBgG09XXHOXbhkMpHZNT7r2KWEwReQolpJUnsy/JUmNFX2wk5TS9JTS6JTS6N13373Yp9thJz1Yw5fnTama0R3bnc6amtwkSSqYPdbVctTV32xxm3bl3+bdklRx2lqRey0i+gNkf1cVLqSONerJGzl+yX+VOozyceONuUmSVDB9NqxhxMN3Fe8E5t2SVHHaWpH7OTAx+zwReKAw4UiSJEmStqc1rx+4HZgL7B8RyyPiQuAq4OiIeAk4OpuXJEmSJHWA1oxaeXYzq44scCySJEmSpFYo+mAnkiRJkqTCsiInSZIkSWWmre+Rqxgr+h/Eug0bSx1G+TjooFJHIEkVZ0OXnrw2eN/incC8W5IqTtVX5KbXLGDu0jrGU/nvkMu3ZGFPNtTC1KlbL288v40FC4oUkSRVr1f7DOW264v4+gHzbkmqOFVfkatmKzfVMXfplvmx+/UrXTCSJEmSWs0+clVu/IQ6xk+orqeRklRIEdElIv4vIh7K5gdHxO8i4qWIuDMi3lPqGCVJlafqK3JTvxU8+tPdSh1G+YjITZKkel8Gnsub/y5wdUppCPAGcOH2DjBkzUKmHLN/kcLDvFuSKlDVV+QkSWqriBgAnAD8ZzYfwBHAPdkmM4BPlCY6SVIlsyInSVLb/RD4F2BzNt8P+EtKqX445OXAXk3tGBE1ETE/IuYXP0xJUqWxIidJUhtExInAqpRS/pCQTbVfTE3tn1KanlIanVIaXZQAJUkVzVErJUlqm0OBkyPieKAH0JvcE7q+EdE1eyo3AFhRwhglSRXKJ3KSJLVBSunSlNKAlNIg4Czglymlc4HZwGnZZhOBB0oUoiSpglmRkySpsC4BvhIRS8j1mbupxPFIkipQ1TetfPDEG1i6em2pwygfN9xQ6ggkqdNJKc0B5mSfXwYO2ZH9X+s1gMc/U1P4wOqZd0tSxan6ityCUTXMXVrHeKr7pdhLFvZkQy1Mnbr18sbz1BTxPxqSVKXe6t6PRSecWbwTmHdLUsWp+oqctli5qY65S7fMj92vX+mCkSRJktSsqu8jN2rBdI57aUapw+g0xk+oY/yEFp5OTp+emyRJBdN7Qx0jfnFn8U5g3i1JFafqK3InPXQR//i7i0sdRvm46KLcJEkqmD3XLeeoay4r3gnMuyWp4lR9RU6SJEmSyo0VOUmSJEkqM1bkJEmSJKnMWJGTJEmSpDLj6wckSSojrX7vpySpolmRkySpzPjeT0lS1TetnHp54thPvV7qMMpHSrlJklQwL+16IFfPemGH9tnuez/zmXdLUsWp+oqcJEmSJJUbK3KSJEmSVGaqoo9ccx3Ap06FmumjOHfDRh6acHdHhlS+Ro3K/V2woLRxSFIFGfjmi5zz+U9y2/X3FecE5t2SVHGqoiIHMHfpln4ESxb2ZO9dd2bqVJi68snSBVWOnvR6SVKhdd+0nj2XPFO8E5h3S1LFqaqmlfkdw3MjfrWyk7gkSZIkdSJVVZFrrNWjfUmSJElSJ1LVFTlJkiRJKkft6iMXEcuAvwKbgI0ppdGFCEqSJEmS1LxCDHZyeErJN2pLkiRJUgepmlErm3PHLhcQ79lY6jDKx6RJLFgAD07ddlVzr3mQJLXsze67suiIo4p3gkmTindsSVJJtLcil4BZEZGAG1JK0xtvEBE1QA3AwIED23m6wvv6gGvp2mc9n8WBT1pl+nQenMo2I36O3a9faeKRpAqwqtfePD5lWvFOMH2b4lmSVObaW5E7NKW0IiL2AB6LiOdTSr/K3yCr3E0HGD16dGrn+dSJ1I/6+citVuIkqVSWLOzJhtptW0XYSkKSKlu7KnIppRXZ31UR8TPgEOBXLe/VuQxf/3906fIOsHepQykPCxbQfwXAoBIHIkmVo/vG9ezx4mJWDR3epv1z70bdMr9NK4kFC3J/R41qY4SSpM6mza8fiIheEfG++s/AMcDiQgXWUR5Y8nHue6qI/RIqzejRXHSjg5NKUiENfOtFzp18aruOMX5CXfPvRx09OjdJkipGe57I7Qn8LCLqj3NbSumRgkSlTiW/eU79x2XLOj4OSepsImJv4Fbg/cBmYHpK6ZqI2BW4k1zzhWXAGSmlN0oVpySp8rS5IpdSehk4sICxqBNrPLiJJAmAjcDFKaUns1YqCyLiMeB84ImU0lUR8VXgq8AlJYxTklRh2ty0UtWn2SY7klSlUkorU0pPZp//CjwH7AWcAszINpsBfKI0EUqSKpUVOUmSCiAiBgEfBX4H7JlSWgm5yh6wRxPb10TE/IiY35FxSpIqQ9W/EFxNyx/Oes4cWLmp1BFJUucVEe8F7gX+MaX0VtZ/vEVbvZ4n9z5WSZJazSdyalZuOOs6ate8XepQJKnTiohu5CpxM1NK92WLX4uI/tn6/sCqUsUnSapMVV+RO+WDv+GTIx8vdRidVuN+cTOvvZdTPvibEkUjSZ1L5B693QQ8l1L697xVPwcmZp8nAg+0dJxXew9l5rX3FidIgPnzc5MkqWJUfdPKxT0/Stf3rucwHMijNVYNHc7ingPoyvpShyJJncGhwHnAooh4Klv2NeAq4K6IuBB4FTi9pYNs6NqzzS8DbxVfBC5JFafqK3KSJLVVSuk3QHMd4o7syFgkSdWl6ptWfnv5ZK54aUqpwygbR139Tb69fHKpw5CkirLHulqOuvqbxTtBTU1ukiRVjKp/InfWGz8B4Gq+UeJIysOIh+9iBHA5/1bqUCSpYvTZsIYRD9/F41OmtftY+aMO15t64425D9Ont/v4kqTOoeorcpIkVZrcqMOljkKSVExV37RSkqRKNH5C3TYjD0uSKocVOUmSJEkqM1bkJEmSJKnMVGQfufwO3gBz5sDKTaWIRJIkSZIKryIrcgBzl27pF1C7pidd+zS93eIeI6HL5g6Kqvy99sFhrF7erdRhSFJF2dClJ68N3rdox1/R/yA+0L9oh5cklUBFN61sTUfvU4b8llM/+ssOiqj83Xb9fZwy5LelDkOSKsqrfYZy2/X3Fe3402sWwIIFRTu+JKnjVXRFTpIkSZIqkRU5SZIkSSozVV+RW7qoFy/8ZrdSh1E2phyzP0sX9Sp1GJJUUYasWciUY/Yv2vGnfisgomjHlyR1vKqvyEmSJElSubEiJ0mSJEllpiJeP+B740prycKebKjd9ntoPN/S8ua2lSRJkrStiqjIQevfG6fiWLmpjrlLt8yP3a9fi9vnf1/b21aSJEnS1iqmIgc0vDPu2osHlDiS6pR//VvzhG78hDoeudVKnCQV05KFPRs+1+fDtoKQpPJXURU5dR47+oROklR8c5fWmR9LUoWo+orc1/f6f+zU82/sWupAysTjX76C2ffs0qpt65/QFfOp2470w5Okzuq1XgN4/DM1RTv+Nz/4A/7hhHVQt/1tJUnloeorcnfs+mm69lnPZy3dWmXRCWdyxy8H0JX1pQ6lQX5/O/Dpn6Ty81b3fiw64cyiHf+u909k1xPq4NainUKS1MGqviKn4ms8qmUxRhXtiKd/klTudnSUYUlS51X1Fbmz1tzMTuv/BpxY6lDKwohf3MlZa3bhnj5n79B++X3mHFVUkrbWe0MdI35xZ9Geyp3x5xmM+MU64GL7MEtShaj6F4J/+09fZNqSi0sdRtk46prL+PafvtimfcdPqGt4ciZJ2mLPdcs56prLinb8aUsu3ur45seSVP7K8omcLwCvHE01uwQYN27r7Wz2I0mSJG1RlhU58AXglWTbZpfrG+aXLOzJ3rvubH8OSSoC+8xJUvkq24oc+ALwStL4u8yfz6/oNa7YNX4a25onfP4HRZK22F4eC7aSkKTOqF0VuYgYD1wDdAH+M6V0VUGikhpprmLX1NPYlp7wtadTv++sk7QjyqmMbDmPbV0rCfNISepYba7IRUQX4DrgaGA58IeI+HlK6dn2BtVUHzjYckfQPnHa3tPYpp7wNX41QVv+0+E76yS1RjHLyI7QllYSubK5jkGDtl2Xz4qdJBVGe57IHQIsSSm9DBARdwCnAM0WUitWtC4DnzMHuu/duA/c+m2ewjT+j3lb5qe0Y9/Wztd/nnJc8Y7dEfP516sYxy5W3Pnzc+Zs3ewy/3cGsKG2X7O/0dz22y7zPyWSmrDDZSQUN18s1rHqK3bbayEBLeexkqQdEymltu0YcRowPqX0mWz+POBjKaXJjbarAWqy2eHA4raHW9Z2A14vdRAlVM3pr+a0Q3Wnv5rTvn9K6X2lDqJUWlNGWj5upZr/rVRz2qG601/NaYfqTn9Bysj2PJGLJpZtUytMKU0HpgNExPyU0uh2nLNsVXPaobrTX81ph+pOf7WnvdQxlNh2y0jLxy2qOf3VnHao7vRXc9qhutNfqDKyPS8EXw7kNzQbAKxoXziSJFUEy0hJUlG1pyL3B2BIRAyOiPcAZwE/L0xYkiSVNctISVJRtblpZUppY0RMBh4lN7TyzSmlZ7az2/S2nq8CVHPaobrTX81ph+pOv2mvUm0oI6v6elHd6a/mtEN1p7+a0w7Vnf6CpL3Ng51IkiRJkkqjPU0rJUmSJEklYEVOkiRJkspMwSpyETE+Il6IiCUR8dUm1nePiDuz9b+LiEF56y7Nlr8QEccWKqaO0ta0R8SgiFgfEU9l0487Ovb2akXa/z4inoyIjdl7lfLXTYyIl7JpYsdFXTjtTP+mvO++7AZBaEXavxIRz0bE0xHxRETsk7eurL/7dqa9rL93aFX6PxsRi7I0/iYiPpK3rqzz+7awfKzO8hGqu4ys5vIRLCMtIzuojEwptXsi15F7KbAv8B5gIfCRRtt8Hvhx9vks4M7s80ey7bsDg7PjdClEXB0xtTPtg4DFpU5DkdM+CDgAuBU4LW/5rsDL2d9dss+7lDpNHZX+bN3aUqehyGk/HNg5+/y5vN99WX/37Ul7uX/vO5D+3nmfTwYeyT6XdX5fxOtl+bht2su6fNyB9FdkGVnN5eMOpN8yMllGtreMLNQTuUOAJSmll1NKfwPuAE5ptM0pwIzs8z3AkRER2fI7UkobUkqvAEuy45WL9qS93G037SmlZSmlp4HNjfY9FngspbQmpfQG8BgwviOCLqD2pL/ctSbts1NKb2ez88i9RwvK/7tvT9orQWvS/1bebC+2vAi73PP7trB8rM7yEaq7jKzm8hEsIy0jO6iMLFRFbi+gNm9+ebasyW1SShuBN4F+rdy3M2tP2gEGR8T/RcT/RMRhxQ62wNrz3ZX79w7tT0OPiJgfEfMi4hOFDa3odjTtFwIPt3HfzqY9aYfy/t6hlemPiC9ExFLge8CXdmTfCmP5uEU1lY9Q3WVkNZePYBlpGblFUcvINr9HrnE8TSxr/F6D5rZpzb6dWXvSvhIYmFKqi4hRwP0RMaxRTb0za893V+7fO7Q/DQNTSisiYl/glxGxKKW0tECxFVur0x4RnwJGA/+wo/t2Uu1JO5T39w6tTH9K6Trguog4B/gGMLG1+1YYy8etVUv5CNVdRlZz+QiWkY1ZRjZeUKAyslBP5JYDe+fNDwBWNLdNRHQF+gBrWrlvZ9bmtGePTusAUkoLyLWFHVr0iAunPd9duX/v0M40pJRWZH9fBuYAHy1kcEXWqrRHxFHA14GTU0obdmTfTqw9aS/37x12/Pu7A6i/q1ru331bWD5uUU3lI1R3GVnN5SNYRlpGblHcMrItHfkaT+Se7L1MrmNefce+YY22+QJbd2i+K/s8jK079r1MeXXmbk/ad69PK7lOkX8Cdi11mgqZ9rxtb2HbjtyvkOvIu0v2uWzSXoD07wJ0zz7vBrxEo86wnXlq5e/+o+T+8zWk0fKy/u7bmfay/t53IP1D8j6fBMzPPpd1fl/E62X5uG3ay7p8bG3687ZtXEZUfD7ZQtqrJZ+0jLSMhHaWkYUM/HjgxeyL+Xq27ApyNW2AHsDd5Dru/R7YN2/fr2f7vQAcV+ovoaPSDpwKPJN9aU8CJ5U6LUVI+8Hk7jCsA+qAZ/L2/XR2TZYAF5Q6LR2ZfuDvgEXZd78IuLDUaSlC2h8HXgOeyqafV8p339a0V8L33sr0X5PlbU8Bs8krxMo9vy/S9bJ8rMDysZXpr9gysq1pr6J80jLSMrLdZWRkO0mSJEmSykTBXgguSZIkSeoYVuQkSZIkqcxYkZMkSZKkMmNFTpIkSZLKjBU5SZIkSSozVuQkSZIkqcxYkZMkSZKkMvP/A8rswYjJ3pJ/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1080x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def pltAngelRate(p_trace, ax, fv = None):\n",
" ret = ax.hist(p_trace, bins=np.linspace(0, 0.3, 100), density=True, alpha=0.5, edgecolor=\"#0000FF\", lw=2)\n",
" ax.set_xlim([0, 0.3])\n",
" N = len(p_trace)\n",
" bci_g = np.sort(p_trace)[int(N * 0.95)]\n",
" bci_l = np.sort(p_trace)[int(N * 0.05)]\n",
" ax.vlines(x=bci_g, ymin=0, ymax=ret[0].max(),\n",
" label='90% BayesCredibleInterval',\n",
" color='red', linestyles='--', linewidths=2)\n",
" ax.vlines(x=bci_l, ymin=0, ymax=ret[0].max(),\n",
" color='red', linestyles='--', linewidths=2)\n",
" if fv is not None:\n",
" ax.vlines(x=fv, ymin=0, ymax=ret[0].max(),\n",
" label='MLE',\n",
" color='#FFA500', linestyles='-', linewidths=2)\n",
" ax.legend(loc=\"upper right\")\n",
" ax.set_title('observation number = %d' % (len(data_angel)))\n",
" print('95% BayesCredibleInterval : {}-{}'.format(bci_l, bci_g))\n",
" print('ExpectedValue : {}'.format(p_trace.mean()))\n",
" return (bci_l, bci_g)\n",
"\n",
"fig = plt.figure(figsize=(15, 4))\n",
"ax = fig.subplots(1, 2)\n",
"bci_silver = pltAngelRate(p_trace=p_trace_s, ax=ax[0], fv=mle_silver)\n",
"bci_gold = pltAngelRate(p_trace=p_trace_g, ax=ax[1])\n",
"print('MLE(silver) : {}'.format(mle_silver))\n",
"print('MLE(gold) : {}'.format(mle_gold))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"fig.savefig('est_dist.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## エンゼルがn個当たるまでの数の予測\n",
"- MCMCサンプルを使って積分を数値計算する"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def getExpect(p_trace, n, ks, f_name=None):\n",
" pmf_arr = np.array(list(map(lambda p:stats.nbinom.pmf(ks, n, p), p_trace)))\n",
" pmf_expect = pmf_arr.mean(axis=0)\n",
" cdf_expect = (pmf_arr.cumsum(axis=1)).mean(axis=0)\n",
" \n",
" first_over_50 = list(cdf_expect).index(cdf_expect[cdf_expect>0.5].min())\n",
" print(\"50% Over : \", first_over_50)\n",
" \n",
" fig = plt.figure(figsize=(13, 4))\n",
" ax = fig.subplots(1, 2)\n",
" \n",
" ax[0].plot(ks, pmf_expect)\n",
" ax[0].set_title('Probability Mass Function')\n",
" ax[0].set_xlabel('False Count')\n",
" ax[0].set_ylabel('Probability Mass')\n",
" ax[1].plot(ks, cdf_expect)\n",
" ax[1].set_title('Cumulative Probability Mass Function')\n",
" ax[1].set_xlabel('False Count')\n",
" ax[1].set_ylabel('Cum. Probability')\n",
" ax[1].set_ylim([0.0, 1.0])\n",
" ax[1].vlines(x=first_over_50, ymin=0, ymax=1.0, color=\"red\", label=\"50% Over\")\n",
" if f_name is not None:\n",
" fig.savefig(f_name)\n",
" return 0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 銀のエンゼル"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"50% Over : 80\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 5\n",
"ks = np.arange(0,300,1) # n回成功するまでの失敗回数\n",
"\n",
"ret = getExpect(p_trace_s, n, ks, f_name='expect_silver.png')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 金のエンゼル"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"50% Over : 147\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 1\n",
"ks = np.arange(0,1000,1) # n回成功するまでの失敗回数\n",
"\n",
"ret = getExpect(p_trace_g, n, ks, f_name='expect_gold.png')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 点推定した場合"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def getExpectPoint(p, n, ks, f_name=None):\n",
" pmf_expect = stats.nbinom.pmf(ks, n, p)\n",
" cdf_expect = pmf_expect.cumsum()\n",
" \n",
" first_over_50 = list(cdf_expect).index(cdf_expect[cdf_expect>0.5].min())\n",
" print(\"50% Over : \", first_over_50)\n",
" \n",
" fig = plt.figure(figsize=(13, 4))\n",
" ax = fig.subplots(1, 2)\n",
" \n",
" ax[0].plot(ks, pmf_expect)\n",
" ax[0].set_title('Probability Mass Function')\n",
" ax[0].set_xlabel('False Count')\n",
" ax[0].set_ylabel('Probability Mass')\n",
" ax[1].plot(ks, cdf_expect)\n",
" ax[1].set_title('Cumulative Probability Mass Function')\n",
" ax[1].set_xlabel('False Count')\n",
" ax[1].set_ylabel('Cum. Probability')\n",
" ax[1].set_ylim([0.0, 1.0])\n",
" ax[1].vlines(x=first_over_50, ymin=0, ymax=1.0, color=\"red\", label=\"50% Over\")\n",
" if f_name is not None:\n",
" fig.savefig(f_name)\n",
" return 0"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"p=0.05128205128205128\n",
"50% Over : 86\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 5\n",
"ks = np.arange(0,300,1) # n回成功するまでの失敗回数\n",
"p = mle_silver\n",
"print(\"p={}\".format(p))\n",
"\n",
"ret = getExpectPoint(p, n, ks, f_name='expect_point_silver.png')\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"p=0.0014\n",
"50% Over : 494\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 1\n",
"ks = np.arange(0,2000,1) # n回成功するまでの失敗回数\n",
"p = 0.0014\n",
"print(\"p={}\".format(p))\n",
"\n",
"ret = getExpectPoint(p, n, ks, f_name='expect_point_gold.png')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.6.4"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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