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@ChadFulton
Created August 13, 2014 08:45
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SARIMAX - Durbin and Koopman Example
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Durbin and Koopman: Box-Jenkins Examples\n",
"\n",
"See Durbin and Koopman (2012), Chapter 8.4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Get the basic series\n",
"dinternet = np.array(pd.read_csv('internet.csv').diff()[1:])\n",
"\n",
"# Remove datapoints\n",
"missing = np.r_[6,16,26,36,46,56,66,72,73,74,75,76,86,96]-1\n",
"dinternet[missing] = np.nan\n",
"\n",
"# Statespace\n",
"mod = sm.tsa.SARIMAX(dinternet, order=(1,0,1))\n",
"res = mod.fit()\n",
"print res.summary()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Statespace Model Results \n",
"==============================================================================\n",
"Dep. Variable: y No. Observations: 99\n",
"Model: SARIMAX(1, 0, 1) Log Likelihood -225.770\n",
"Date: Wed, 13 Aug 2014 AIC 457.541\n",
"Time: 01:44:16 BIC 465.326\n",
"Sample: 0 HQIC 460.691\n",
" \n",
"==============================================================================\n",
" coef std err z P>|z| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"ar.L1 0.6562 0.088 7.453 0.000 0.484 0.829\n",
"ma.L1 0.4878 0.116 4.214 0.000 0.261 0.715\n",
"sigma2 10.3402 1.609 6.427 0.000 7.187 13.494\n",
"==============================================================================\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Graph\n",
"fig, ax = plt.subplots(figsize=(12,6))\n",
"\n",
"ax.grid()\n",
"ax.plot(dinternet, 'k.')\n",
"\n",
"# In-sample one-step-ahead predictions and confidence intervals\n",
"predict, predict_error_cov, confidence_intervals, index = res.predict()\n",
"ax.plot(index, predict[0], 'gray');\n",
"ax.plot(index, confidence_intervals[0], 'gray', linestyle=':')\n",
"\n",
"# Out-of-sample forecasts and confidence intervals\n",
"forecast, forecast_error_cov, confidence_intervals, index = res.forecast(20, alpha=0.5)\n",
"ax.plot(index, forecast[0], 'k--', linestyle='--', linewidth=2)\n",
"ax.plot(index, confidence_intervals[0], 'k');\n",
"\n",
"ax.set(title='Figure 8.9 - Internet series');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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FpN9U9WjgAhG5uvMm1YOqrglMFJGbWrYfBlwpIrf1xjLDqIfKEeWBgYEvATOAfQcGBn4e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\nCs0mf+3ugwk1lK8ubTQsyKdbK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"text": [
"<matplotlib.figure.Figure at 0x106cc3ad0>"
]
}
],
"prompt_number": 19
}
],
"metadata": {}
}
]
}
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