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@ChadFulton
Created October 25, 2017 02:57
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Statsmodels: fixed state space model
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.8.0.dev0+e26ea29\n"
]
}
],
"source": [
"from __future__ import division\n",
"\n",
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"import statsmodels.api as sm\n",
"print sm.version.version\n",
"import matplotlib.pyplot as plt\n",
"from pandas_datareader.data import DataReader"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": []
},
{
"data": {
"image/png": 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Nrvxq6h1Ogvzb/yeywmonCBtDvvst7HoVguNg4hUw+gJInwtGk+8nzrwTSvbApqWw9SXY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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b3b7750>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"class KnownModel(sm.tsa.statespace.MLEModel):\n",
" def __init__(self, endog):\n",
" super(KnownModel, self).__init__(endog, k_states=2, k_posdef=2)\n",
" \n",
" self['design'] = np.array([[1, 1.]])\n",
" self['obs_cov', 0, 0] = 3.\n",
" \n",
" self['transition'] = np.array([[1, 0],\n",
" [0, 0.2]])\n",
" self['selection'] = np.eye(2)\n",
" self['state_cov'] = np.diag([0.2, 2])\n",
" \n",
" self.ssm.initialize_stationary()\n",
" \n",
"# dta = sm.datasets.macrodata.load_pandas().data\n",
"# dta.index = pd.DatetimeIndex(start='1959-01-01', end='2009-10-01', freq='Q')\n",
"# endog = dta['infl']\n",
"pce = DataReader('PCECTPI', 'fred', start='1959-01')\n",
"pce.index = pd.DatetimeIndex(pce.index, freq='QS')\n",
"endog = np.log(pce).diff().iloc[1:] * 400\n",
"mod = KnownModel(endog)\n",
"res = mod.smooth([])\n",
"\n",
"fig, ax = plt.subplots(figsize=(15, 4))\n",
"ax.plot(endog)\n",
"ax.plot(endog.index, res.smoothed_state[0])\n",
"ax.plot(endog.index, res.smoothed_state[1]);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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