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@wrgoldstein
Created August 21, 2015 16:18
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{
"metadata": {
"name": "",
"signature": "sha256:f0a9bb15a5814b9f7dd05c7df35e873d4901cab24187a1601eccb95ed72230bf"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"\n",
"import pymc as pm\n",
"import numpy as np\n",
"\n",
"\n",
"horizon = 10 # weeks"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# kevin and zack's z score\n",
"def kz_metric(values):\n",
" return (values[-1] - values.mean()) / values.std()\n",
"\n",
"\n",
"# define a few possibilities for the true trend function\n",
"# each trend function should take two parameters:\n",
"# b: the level of usual traffic (e.g. the intercept)\n",
"# m: the parameter of trend (e.g. the slope)\n",
"\n",
"linear_trend = lambda b, m: b + np.arange(horizon) * m\n",
"exp_trend = lambda b, m: b + np.power(np.arange(horizon), m)\n",
"\n",
"bins = np.linspace(-1,3,100)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 154
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def compare_levels(levels, k, trendf):\n",
" plt.figure(figsize=(24,3))\n",
" for level in levels:\n",
" mu = trendf(level, k)\n",
" process = pm.Poisson('process', mu)\n",
" kz = [kz_metric(process.random()) for _ in range(1000)]\n",
" plt.subplot(1, 2, 1)\n",
" plt.hist(kz, alpha=.5, label=\"level: %s\" % level, normed=True, bins=bins)\n",
" plt.legend(loc='upper left')\n",
" for level in levels:\n",
" plt.subplot(1, 2, 2)\n",
" plt.plot(np.arange(10), trendf(level, k), label='level: %s' % level)\n",
"\n",
"def compare_ks(ks, level, trendf):\n",
" plt.figure(figsize=(24,3))\n",
" for k in ks:\n",
" mu = trendf(level, k)\n",
" process = pm.Poisson('process', mu)\n",
" kz = [kz_metric(process.random()) for _ in range(1000)]\n",
" plt.subplot(1, 2, 1)\n",
" plt.hist(kz, alpha=.5, label=\"k: %s\" % k, normed=True, bins=bins)\n",
" plt.legend(loc='upper left')\n",
" for k in ks:\n",
" plt.subplot(1, 2, 2)\n",
" plt.plot(np.arange(10), trendf(level, k), label='k: %s' % k)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 155
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"compare_levels([1,10,100,200], 2, trendf=exp_trend)\n",
"compare_ks([.5, .8, 1.2, 1.8, 2.2, 2.6], 1, exp_trend)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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IEaqqqqipqeH6669n+vTpXHnllbS3t3PrrbeycuVKvv3tb/PTn/6UW2+9lffe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\nm3Ech7LlkC9b1UfBsMiX7Zr5ysNmpbSPP/7r71RD1vIGeqGCe3OpaoD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wh2KopeNr99H/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\nrkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10ff147d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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oLCxkwoQJPRi2tNUYafvLy1DffvbZZyksLIyY8UT6tvJSXsorMra9dWd5+zfP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\nuK13t78fdyqhoQO2RhSDywYT713w5Q9FrKcRCigGeNZaKlyQjSLUagp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"text": [
"<matplotlib.figure.Figure at 0x10ff14750>"
]
}
],
"prompt_number": 156
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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