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@Wann-Jiun
Created April 18, 2017 02:26
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Time series models
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Load libraries needed \n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pylab as plt\n",
"%matplotlib inline\n",
"from matplotlib.pylab import rcParams\n",
"rcParams['figure.figsize'] = 15, 6"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" date wp1 wp2 wp3 wp4 wp5 wp6 wp7\n",
"0 2009070100 0.045 0.233 0.494 0.105 0.056 0.118 0.051\n",
"1 2009070101 0.085 0.249 0.257 0.105 0.066 0.066 0.051\n",
"2 2009070102 0.020 0.175 0.178 0.033 0.015 0.026 0.000\n",
"3 2009070103 0.060 0.085 0.109 0.022 0.010 0.013 0.000\n",
"4 2009070104 0.045 0.032 0.079 0.039 0.010 0.000 0.000\n",
"\n",
" Data Types:\n",
"date int64\n",
"wp1 float64\n",
"wp2 float64\n",
"wp3 float64\n",
"wp4 float64\n",
"wp5 float64\n",
"wp6 float64\n",
"wp7 float64\n",
"dtype: object\n"
]
}
],
"source": [
"# Import wind power generation dataset\n",
"path = './data/'\n",
"\n",
"data = pd.read_csv(path + 'train.csv')\n",
"print data.head()\n",
"print '\\n Data Types:'\n",
"print data.dtypes\n",
"\n",
"time_train = 24*9\n",
"data_train = data.iloc[0:time_train,:]\n",
"data_test = data.iloc[time_train:time_train*2,:]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:15: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n"
]
},
{
"data": {
"text/plain": [
"wp1 float64\n",
"wp2 float64\n",
"wp3 float64\n",
"wp4 float64\n",
"wp5 float64\n",
"wp6 float64\n",
"wp7 float64\n",
"time datetime64[ns]\n",
"dtype: object"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Perform some simple data cleaning/transformation \n",
"data_train['date']\n",
"time = [0]*time_train\n",
"for i in range(len(data_train)):\n",
" day = '%d' % ((data_train['date'][i] - 2009070000)/100)\n",
" hour_temp = '%d' % ((data_train['date'][i] - 2009070000)%100)\n",
" if ((data_train['date'][i] - 2009070000)%100) < 10:\n",
" hour = '0' + hour_temp\n",
" else:\n",
" hour = hour_temp\n",
" \n",
" time[i] = '2009-07' + '-' + day + ' ' + hour \n",
" time[i] = pd.datetime.strptime(time[i], '%Y-%m-%d %H')\n",
"\n",
"data_train['time'] = time \n",
"data_train = data_train.drop('date', 1)\n",
"data_train.reindex_axis(sorted(data_train.columns), axis=1)\n",
"data_train.dtypes"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Set time index\n",
"data_train = data_train.set_index('time') "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2009-07-01 00:00:00', '2009-07-01 01:00:00',\n",
" '2009-07-01 02:00:00', '2009-07-01 03:00:00',\n",
" '2009-07-01 04:00:00', '2009-07-01 05:00:00',\n",
" '2009-07-01 06:00:00', '2009-07-01 07:00:00',\n",
" '2009-07-01 08:00:00', '2009-07-01 09:00:00',\n",
" ...\n",
" '2009-07-09 14:00:00', '2009-07-09 15:00:00',\n",
" '2009-07-09 16:00:00', '2009-07-09 17:00:00',\n",
" '2009-07-09 18:00:00', '2009-07-09 19:00:00',\n",
" '2009-07-09 20:00:00', '2009-07-09 21:00:00',\n",
" '2009-07-09 22:00:00', '2009-07-09 23:00:00'],\n",
" dtype='datetime64[ns]', name=u'time', length=216, freq=None)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data_train.index"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"time\n",
"2009-07-01 00:00:00 0.045\n",
"2009-07-01 01:00:00 0.085\n",
"2009-07-01 02:00:00 0.020\n",
"2009-07-01 03:00:00 0.060\n",
"2009-07-01 04:00:00 0.045\n",
"2009-07-01 05:00:00 0.035\n",
"2009-07-01 06:00:00 0.005\n",
"2009-07-01 07:00:00 0.000\n",
"2009-07-01 08:00:00 0.000\n",
"2009-07-01 09:00:00 0.010\n",
"Name: wp1, dtype: float64"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Consider wind power generation from site 1\n",
"ts = data_train['wp1']\n",
"ts.head(10)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1180a08d0>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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AXAhvADJp/nxrPPKOd9iatXz79ll55Kmn9r4vCG+33y59+MO1jYPwBgAA4kJ4A5BJS5dK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\njsZ48y2kjHeKNC9PRk3HjAE2bJDZijFjgDfeiH0Bu2LNjh3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"text/plain": [
"<matplotlib.figure.Figure at 0x1141fb110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot wind power generation \n",
"plt.plot(ts)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from statsmodels.tsa.stattools import adfuller\n",
"def test_stationarity(timeseries):\n",
" \n",
" #Determing rolling statistics\n",
" rolmean = pd.rolling_mean(timeseries, window=12)\n",
" rolstd = pd.rolling_std(timeseries, window=12)\n",
"\n",
" #Plot rolling statistics:\n",
" orig = plt.plot(timeseries, color='blue',label='Original')\n",
" mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n",
" std = plt.plot(rolstd, color='black', label = 'Rolling Std')\n",
" plt.legend(loc='best')\n",
" plt.title('Rolling Mean & Standard Deviation')\n",
" plt.show(block=False)\n",
" \n",
" #Perform Dickey-Fuller test:\n",
" print 'Results of Dickey-Fuller Test:'\n",
" dftest = adfuller(timeseries, autolag='AIC')\n",
" dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n",
" for key,value in dftest[4].items():\n",
" dfoutput['Critical Value (%s)'%key] = value\n",
" print dfoutput"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:5: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).mean()\n",
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:6: FutureWarning: pd.rolling_std is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).std()\n"
]
},
{
"data": {
"image/png": 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Ssa9CPMzMZVqfRGTXsnw59O3rSydrmjAB/vlPePbZ9PdLRER2LWaWlj3Qdha/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\ni5PgYMNJcffvZ5OF7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"text/plain": [
"<matplotlib.figure.Figure at 0x11abadf10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Results of Dickey-Fuller Test:\n",
"Test Statistic -3.016918\n",
"p-value 0.033344\n",
"#Lags Used 2.000000\n",
"Number of Observations Used 213.000000\n",
"Critical Value (5%) -2.875207\n",
"Critical Value (1%) -3.461429\n",
"Critical Value (10%) -2.574054\n",
"dtype: float64\n"
]
}
],
"source": [
"test_stationarity(ts)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:2: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).mean()\n",
" from ipykernel import kernelapp as app\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1049bfa90>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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om5T3/kVJAxs8dkfc72+XdHsQ1wKATMWvd4vZd1/p/felmhqprEy6917prLPs9xl79lnp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"text/plain": [
"<matplotlib.figure.Figure at 0x11d41dd50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Perform moving average \n",
"moving_avg = pd.rolling_mean(ts,12)\n",
"plt.plot(ts)\n",
"plt.plot(moving_avg, color='red')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"time\n",
"2009-07-01 00:00:00 NaN\n",
"2009-07-01 01:00:00 NaN\n",
"2009-07-01 02:00:00 NaN\n",
"2009-07-01 03:00:00 NaN\n",
"2009-07-01 04:00:00 NaN\n",
"2009-07-01 05:00:00 NaN\n",
"2009-07-01 06:00:00 NaN\n",
"2009-07-01 07:00:00 NaN\n",
"2009-07-01 08:00:00 NaN\n",
"2009-07-01 09:00:00 NaN\n",
"2009-07-01 10:00:00 NaN\n",
"2009-07-01 11:00:00 -1.040834e-17\n",
"Name: wp1, dtype: float64"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ts_moving_avg_diff = ts - moving_avg\n",
"ts_moving_avg_diff.head(12)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:5: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).mean()\n",
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:6: FutureWarning: pd.rolling_std is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).std()\n"
]
},
{
"data": {
"image/png": 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h8hdPjLw1A45orSO01jeA+cDjtgdorTdprS9a7m4CPLfIgxDC69yd72bVrh0s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\nvGWUkgJjx3pm1O3QoUPUqlGDTj4+TP/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ZV155havp1sQsW9bEVFlRubJJuXTri/rrr5vF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\nLMDgjYiIiIiIKAv8P2gK3+Agf401AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121031110>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Results of Dickey-Fuller Test:\n",
"Test Statistic -5.085546\n",
"p-value 0.000015\n",
"#Lags Used 3.000000\n",
"Number of Observations Used 201.000000\n",
"Critical Value (5%) -2.876029\n",
"Critical Value (1%) -3.463309\n",
"Critical Value (10%) -2.574493\n",
"dtype: float64\n"
]
}
],
"source": [
"ts_moving_avg_diff.dropna(inplace=True)\n",
"test_stationarity(ts_moving_avg_diff)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:1: FutureWarning: pd.ewm_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.ewm(halflife=12,ignore_na=False,min_periods=0,adjust=True).mean()\n",
" if __name__ == '__main__':\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x121092190>]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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UaehQC3HNRXgDAABhIbwBSKTZs63xyAkn2Jq1dNu3W3nkIYfs/DU/vN1zj3TWWaWNg/AG\nAADCQngDkEgLFki/+pW0//7W5v/jj5t+fd48qVcvqVu3nZ87cqT07LPS889LX/5yaeMgvAEAgLAQ\n3gAk0oIF0pAh0m23SV27SmecYfut+bKVTErSwQfb8z//eWv1XwrCGwAACAsNSwAkjudJ774rDR4s\ntWol3XefdOKJUu/eUps2dsyGDdIvf5n5+Z062Xq5b32r9LEQ3gAAQFgIbwASZ9kyqXNn+5BsL7cp\nU6QPP2x6XK9e2V/jpZektm1LHwvhDQAAhIXwBiBxFi6U9tmn6WOtWkm77174awQR3CTCGwAACA9r\n3gAkzoIFVjIZB4Q3AAAQFsIbgMRZsGDnmbeoEN4AAEBYCG8AEidT2WRUCG8AACAshDcAiUPZZKO1\na6XrrpMaGqIbAwAACAfhDUCiNDQ0bhMQB1GHt5dfli65RPr+920LBQAA0HIR3gAkSl2dbaztbxMQ\ntajD25Il0pe+ZFsf/Pzn0Y0DAACUH+ENQKLEqWRSij68LV4sHXCANHWq9NBD0g03RDcWAABQXoQ3\nAIkSp2YlUjzC2957Sz17Ss88I914o3TffdGNBwAAlA/hDUCiMPPWlB/eJKlfP+n226U//CG68QAA\ngPIhvAFIlDjt8SZFH96WLJH692/8fN997TEAANDyEN4AJAplk40+/lj68ENpzz0bH9trL2nFCmnr\n1mjGBAAAyofwBiAx/G0CBg2KeiSNOnSQtmyJZp+1pUstrLVu3fhY69YW5pYuDX88AACgvAhvABJj\n2bJ4bRMgSVVV0i67SJs2hX/u1PVuqfr3t68BAICWhfAGIDHiVjLpi6p0Mn29m2/vvVn3BgBAS0R4\nA5AYces06YsqvGWbedt7b2beAABoiQhvABIjbp0mfYQ3AAAQBsIbgMSgbLIp1rwBAFBZCG8AEoOy\nyaZY8wYAQGUhvAFIBH+bAMKb2bpV+uADqU+fnb/Wp4+0fLm0bVu4YwKA5vI86dRTpccei3okQLwR\n3gAkwrJl0q67Sp06RT2SnUUR3mpqpD32aLrHm69NG2n33e0YAEiChx6y4PbII1GPBIg3whuARIjr\nrJsUTXjLtt7Nx7o3AEmxZo30wx9Kd90lPfeczcIByIzwBiARVqyw2aQ4iiK8ZVvv5mPdG4CkuOIK\nadw46Wtfkzp0kN5+O+oRAfGVoeAGAOJn5UqpR4+oR5FZHGfe2C4AQBK88oqVSs6ZY58fc4zNvg0b\nFu24gLhi5g1AIhDemiK8AUi6+nrpvPOk666TunWzx/zwBiAzwhuARFi5UurePepRZNaxo7RhQ7jn\nXLKENW8Aku2Pf7T39a9+tfGxz35W+te/6JYLZBNIeHPOjXXOzXXOzXfOXZrjuJHOuW3OuZODOC+A\nysHMW1OLF7PmDUCy3XuvdMklknONj/XoIQ0aJL38cnTjAuKs5PDmnKuSdIuk4yQNk3S6c27fLMdd\nI+npUs8JoPIQ3hrV10t1dZn3ePP17WvbK9TXhzcuACjU8uXSO+9I1dU7f43SSSC7IGbeRkla4Hne\nEs/ztkmaJGl8huO+J+mvklYEcE4AFWbVKsKbr6ZG6t1bats2+zFt20q9ekm1teGNCwAK9fe/S2PH\nZn4fI7wB2QUR3vaStDTl85odj33CObenpJM8z/u9JCcAKBIzb43ybRPgY90bgLh67DFpfKZb/ZLG\njJFmzZLWrQt3TEAShLVVwI2SUtfC5QxwEyZM+OTP1dXVqs40pw6gohDeGuXrNOnzO04edVR5xwMA\nxdiwQXrhBekvf8n89V12kUaNssYl48aFOzYgKtOmTdO0adPyHhdEeKuV1C/l8z47Hkt1iKRJzjkn\nqYek451z2zzPezzTC6aGNwDYvNk6j3XsGPVIMotzeKNpCYC4efpp6bDDpF13zX6MXzpJeEOlSJ+w\nmjhxYsbjgiibnCFpsHOuv3OuraTTJDUJZZ7nDdzxMUC27u272YIbAKTz17u5mBZdxzm8UTYJIG5y\nlUz6WPcGZFZyePM8b7ukCyQ9I2mOpEme573jnDvPOXdupqeUek4AlSXOJZMSa94AoFDbtklTpkgn\nnpj7uBEjrOFSXV044wKSIpA1b57nTZU0NO2x27Ic+80gzgmgcsS506TEzBsAFOqFF6SBA3NvdSJJ\nrVpJRxxhx596ajhjA5IgkE26AaCc4j7ztssu0qZNkhdCXUF9vd2N7ts3/7H9+tmx27eXf1wAUIjJ\nk/OXTPpGjZJmzCjveICkIbwBiL24h7dWraR27ayxSrmtXCnttpudL5927ez7tmxZ+ccFAPl4nq13\nO+mkwo4/5BDCG5CO8AYg9laulLp3j3oUuYVVOrl+vdSlS+HHs+4NQFzMni21bi0NG1bY8YccIr32\nmtTQUN5xAUlCeAMQe3GfeZPCDW+dOhV+POveAMTFP/4hHX984Z2De/Swj3nzyjsuIEkIbwBij/DW\naP16qXPnwo9nrzcAcbFggfSpTxX3nJEjKZ0EUhHeAMQe4a1RseGtXz/CG4B4WLBA2mef4p5DeAOa\nIrwBiL24bxUgxTe89e4trVhRvvEAQKEIb0DpCG8AYo+Zt0bFhrdevaQPPyzfeACgEJs3242kQrY5\nSXXwwdKbb0pbt5ZnXEDSEN4AxB7dJhsVG9569mTmDUD0Fi2yNbitWxf3vM6d7XlvvVWOUQHJQ3gD\nEGv+5te77BL1SHKLa3jr1YvwBiB6zSmZ9FE6CTQivAGINb9kstDW0lEJK7xt2FBceNt1V2nLFvsA\ngKgsXCgNHty85xLegEaENwCxloT1blJ893lzzkonWfcGIErMvAHBILwBiDXCW1PFlk1KlE4CiF4p\n4e3AA+35mzYFOyYgiQhvAGItCdsESPEPb8y8AYhSKWWT7dpJ++0nzZoV7JiAJCK8AYi1JHSalOId\n3ug4CSBKmzfbDaR+/Zr/GoccQukkIBHeAMQcZZNNMfMGIGnefdfa/bdq1fzXYN0bYAhvAGKN8NYU\nM28AkqaUkkkf4Q0whDcAsUZ4a4qGJQCSppRmJb799pNqa6U1a4IZE5BUhDcAsUZ4a4qySQBJs3Bh\n6eGtdWvp8MOlf/wjmDEBSUV4AxBrhLdGDQ3WKrtjx+KeR9kkgCgtWFB62aQknXSS9Nhjpb8OkGSE\nNwCxtmoV3SZ9GzdKu+wiVRX5zk3ZJIAoBVE2KUknnihNmSJt21b6awFJRXgDEFuel5ytAjp1Kn94\na07JpETZJIDobN5s7+N9+5b+Wn36SAMGSC+8UPprAUlFeAMQWxs3WmvpXXaJeiT5hTHz1tzw1rGj\nlVyGsSYPAFIFsU1AqpNOkiZPDua1gCQivAGIraSsd5Maw5vnle8czQ1vzlE6CSAaQZVM+saPt/BW\nzvdaIM4IbwBiK0nhrXVru7O8dWv5ztHc8CZROgkgGkF0mky1//72Xjt7dnCvCSQJ4Q1AbCUpvEnl\nL50sJbzRcRJAFILqNOlzrnH2DahEhDcAsZWUTpO+OIc3yiYBRCHosknJwhtbBqBSEd4AxBYzb01t\n2GBdLZuDskkAUQi6bFKSRo+Wli6VliwJ9nWBJCC8AYgtwltTlE0CSJJNm+x9vE+fYF+3dWtp3Djp\n8ceDfV0gCQhvAGKL8NYUDUsAJMmiRbYvW1DbBKQ66SRKJ1GZCG8AYovw1hQzbwCS5JFHpGHDyvPa\nn/uc9Mor9r4IVBLCG4DYSmJ427ChfK9PwxIASXHHHdLdd0s33FCe199lFwuGr71WntcH4iqQ8Oac\nG+ucm+ucm++cuzTD1090zs12zr3unHvFOTc6iPMCaNlWrqTbZCrKJgEkwV//Kv3sZ9IzzwS/3i3V\nyJHSjBnle30gjkoOb865Kkm3SDpO0jBJpzvn9k077DnP8w70PO8gSd+SdEep5wXQ8q1alZCZt+3b\npS1bYh3e/LJJzwt2TACQ6plnpP/9X2nKlOC7TKYjvKEStQ7gNUZJWuB53hJJcs5NkjRe0lz/AM/z\nNqUc30lSQwDnBdCCeV5CZt5ef1065xxpyRKNGnOHVux9UtlOVUp469BBattWWrdO2nXXYMcFILlu\nuEE67DDpf/4n/7ENDdYo5KOPsh8zd670t79Jw4cHN8ZsRo6UJkwo/3mAOAkivO0laWnK5zWyQNeE\nc+4kSVdL6inp8wGcF0ALtn691K6d1L591CPJYvNmaeJE6a67pGuvlYYM0fjPf03vLn1K+t/fWA1l\nwErZ501qLJ0kvAHwPfSQzZI9+2z+Y99/35qEPPxw9mP22ksaODC48eUydKjd5Eva+migFEGEt4J4\nnveYpMecc2MkXSXp2LDODSB5Yj3r9v770tFHSyNGSG++KfXuLUn68w9nafSkC6SDD7YrogMPDPS0\npcy8SY2lk4MHBzcmAMm2eLHdi3r1VXtLy2XuXGsScsQRoQwtr6oqG/PMmdLYsVGPBghHEOGtVlK/\nlM/77HgsI8/zXnTODXTOdfM8b3WmYyakzIFXV1eruro6gGECSJKamvIudC/JL34hffGLNuOWok33\nLrrzyD/rkMP+bFcS//mPbXIUkFLDGx0nAaTaskVavVq66ip7O3vwwdzHz5sn7Zve1SBi/ro3whuS\nbtq0aZo2bVre44IIbzMkDXbO9ZdUJ+k0SaenHuCcG+R53rs7/nywpLbZgpvUNLwBqEyLF0t77x31\nKDKorbWaofnzd/rSJw1LvvENW1x2wgkW4Lp2DeTUQYS3cnacXL/evjXf/Gb5zgEgOO+/L/XtK51/\nvt1nevddadCg7MfPnSvtt1944yvEyJHSvfdGPQqgdOkTVhMnTsx4XMndJj3P2y7pAknPSJojaZLn\nee84585zzp2747BTnHNvOedek3SzpFNLPS+Alm3xYql//6hHkcH110tnnZVxgUWTbpMXXGC3gk85\nRdq6teTT7mhoWdJSunJv1P3AA9JPflK+1wcQLP8mWefOFuCuvz738XPnxnfmjU66qBSB7PPmed5U\nz/OGep63j+d51+x47DbP827f8edrPc/b3/O8gz3PG+153ktBnBdAyxXLmbcPP5TuuUe6+OKMX95p\nq4Drr5e6dJG+/e2Sryw2bLDXd67IJ65bJ731lrR5c9ln3u6+216/gX7CQCKk3iT7/vetbPKDD7If\nP2+eNQmJk/79pfp6K4oAKkEg4Q0AgrZkSQzD2403SqeeKu25Z8Yv7xTeWrWS7r9fevtt6ZprSjp1\n0SWTW7dKN99sGy2dcorUrZvO/UU/nTPpGOnHP7Zyzu3bSxpTqvnzpUWLrBvm6qxF8QDiJPV9tlcv\n6bTTpJtuynzs2rX2Ebe1yM6x3xsqC+ENQCzFbuZtzRrpD3+QLr006yEZN+nu2FF67DG7Inr++Waf\nvuDw5nnSo49aS7gnn7T+3/PmSRs26LXfTNf9e1xsVzvf+Y60++62Pu/hh+2qrAR//rN0xhnSHnvQ\nFAVIivT32Ysvlm67zd5v0vmzblUxvHIkvKGSxPBXEECl277duk327Rv1SFLccos0blzO7pEZw5tk\nGx/de6/01a9Ky5Y16/QbNhQQ3jxPuugi6ac/lX73O2nqVOmAA+xrrVqp8wEDNKVhrHXLnD3b+mv/\nz/9If/qT3U4/+mibXXz//aLG1tBg4e2ss+zufa6yKwDxkR7eBg60IJRpz7c4lkz6CG+oJIQ3ALGz\nbJnt8RabDbo3bbKZs8svz3lY1vAmScccY7Ndp51mCzSKtH59ARt0T5woTZ8u/fvf0uc+t9OXd2pY\n0r+/9N3v2g69dXW26OXNN22fuiOOkG69taBFcs8/b/+/DjjAtrxr7sxbXV1pE4Bz5zb/uUAlWrJk\n58ZQRxxhbyHp4tisxDdypN2LomkJKgHhDUDsxG692xNPSMOH571yyRneJGvFuMsuzWrJmLds8oYb\nrN3j009Lu+2W8ZCePW3z84wNRTp1ksaPl+6809LzpZfaFdygQbbVQf/+0qc/LY0eLR1/vPSVr0jn\nnCNdcIE6fetUPbF2jDRwoH739CD1eOyOZgXUn/5U+v3vi36aJOvLMmyY5WwA+X38sd2bSV/CO2aM\n9OKLOx8f5/DWu7e9P777btQjAcoviH3eACBQsVvv9vDD1qgkj7zhrapKuu8+acQIqz8qYkO0nOHt\nrrus3PHeuqXyAAAgAElEQVSFF6xuMYu2bS2jrVkjdeuW42Rt21qJ6LhxFsLWr7d0lOFjy0ebdduK\nMfr1A3tKw/bUE79aoepnLpcOvMGatIwbV3CLzKVLm5X5JEkLFlgoff/9+F5gAnGydKlVdLdOuxIc\nOdIa1G7aZPeafHEum5QaSycHD7bPt2+3m1W9e2c+/uOPpc2bs97rAmKL8AYgdmIV3jZulJ55pqAp\nobZtLUBs2ya1aZPloB49bHbshBNsinHChILCTdbw9sQTNpM3fbrUr1/e1/FLJ3OGt1StW9vMW5aN\nxh/4k7TqWKnrePt86yGDdbWm6fbxT9rs3e9/b/3HC+i2UlPT/LLJBQvsv4sXE96AQmR7n+3QwUqg\nX3lF8vcLrq+XFi6UhgwJcYBF8sPbaadZJfhll1k4W7gw8/G3325/Rzb4RtJQNgkgdmK1QfeUKdKh\nh2bclDudcwXMvkmWLl56yRqKnHmm3QLOI2N4e/NN6eyzpb/9reCrql69SusGuXq13bH3P/70J/sr\n+Hr3lj5Y4WzGbfZsu7V/7LEF7R9QW2ulWc1Zt+JfoC1ZUvxzgUqUab2bb8yYpuveFi+25rSpM3Fx\nM3Kk9NRT0lFHSZdcIl15pTVPWrMm8/GvvSbNmRPuGIEgEN4AxE6s1rw9/LD05S8XfHhB4U2ylPP8\n89ZG8rjjsl9h7LBTeFuxQjrxROm3v7WOkQUqZaPu+nrrRnf44Y0fW7dKn/9809f/JBy2bm23t8eM\nsVv4y5dnfe316+212rRpXrhcsMDGtnhx8c8FKlGuCofRo5uue4t7yaRk4a1rV+t6O3u2dNJJtkz3\njTcyHz9rlv29Mq4BBmKM8AYgdmJTNrlpk5U4fvGLBT+l4PAm2W3shx+2GqWjj5ZWrcp6aJPwtmWL\njenrX7fN1YqwU8fJIrz9tmXO1Jm3//5Xateu8ZjevdO2CnBOuu46WzN4xBHSe+9lfO3aWtutYOjQ\n5nWNXLDAJviaG97oUodKky+8vfSSrRuT4t2sxNeli/Sf/9hSYn8d3/DhFtLSbd1qwa1DB3vvAZKE\n8AYgVhoaLBQUsHyr/KZMkUaNKqhk0ldUeJOkVq1s9uzYY6XPfCZrsvpkn7eGBuncc61F3IQJRZzI\n9OnTuD6sWDNm2N3tXDKWZTonXXGFdOGFtg3BWWdJr7/e5JCaGhvbvvs2L7wtXFhaeLvmGut2iZZr\n3Dj2AkuVK7z17Gk3YvyywiSEt0wOPNBm4dLNnWt/909/mi1GkDyENwCxUldn3b86dIh6JCq6ZFJq\nRniTLNxcfbV08sm2YCPDRt7r10td3RqbcXvvPemee6x7ZZFOOcX6h/h31ItRSHjr1MnyZcbvwQUX\nWMr61KdsW4IjjpAuvlg67TQd8J3Reujlfrrq6UO0zx8vsfWAGzYUNK61a60xwaGHNm/N28aN0vXX\nS/PnF/9cJIPn2Rqud96JeiTxkWvNm9R0y4B585IZ3rLNvM2a1bj7y7x54Y8LKAXhDUCsxGa926ZN\nFiCKKJmUmhneJAtwEyZY948jj5T+8pcmL9R92Zsa+9ORNiX5j380u3PAfvvZpN1zzxX/3ELCm3N5\nmqJ0725dKBctspm4nj2lE0/U1OprdNc3pmvRBTdo2dqOFmZ3393C3datOc+5YIG1B99jD6s83bKl\nuL/XnXfahvBNyj3RotTV2bLS99+PeiTxsHWr/bz36ZP9mNGjG5uWzJ0b/zVvmey/vwX2bduaPj5r\nls3KNXemH4gS4Q1ArMRmvdvUqZZUevYs6mnNDm++yy6zaaD77rNOjd/4hnTddfrlfz+rpd/8uXTz\nzbYnQQnOPNMm7oqxZYtdBA0fnv/Ynda9ZdK6tfSlL1mQO+MMvdT6CHXcf4B6nnyEfrb957b1weLF\nNh02enT2ft+yLw0ebBWoffsWd4G+bZv0619Lv/hFzn4qSDi//G/p0mjHERc1NXazI32Pt1T+zNvq\n1fb7v8ce4Y0vKB072v2u9Nm12bPtvay5a2yBKBHeAMRKbMJbM0ompQDCm2Rt0qZMsSuOESOkl17S\nuQOf0+ZTvlbiC5vTT5eefLK4PdVmz7bdCAqZ8GvOdgS1tZZVBwywWZItW2RrDSdPtsYshx0m3X9/\nxs4iCxZI++xjf9577+LWvT34oHWpPPFEwltL9tZb9rPBzJsp5H12n32sHPm552yGqoDtKGMpvXTS\n85rOvFE2iaQhvAGIlVjs8bZpk20YVGTJpBRQePP17m2lhY8+qlfrDyxkn+uCdO9uzS0feqjw5xRS\nMulrTnjzG5a0bm1h6pOmKs5J3/++bZTul1KefLJNl02fLj3wgA58+Cc6/6kTpeHDdUXN+fImP17Q\nejnPk6691ib/una1C9ViSy6RDHPmSMcfz8ybL996N8l+9UaPtrLiJJZM+g48sGl4q6mxLUl2391m\n5VatsjXFQFIQ3gDESizWvD3yiF219OpV9FMDDW8pMm7SXYKzziqudLKY8FZQ2WQaP7xJWUqZDjrI\nNiV/5RUrt1y0yEpMH3lEKz5qqw2nnCXddpu27b2PBj/5W6vxGjvWEmqWNXNPPWU9X447zi5UmzNu\nJIMf3ph5M4VWOIwZIz37bDKblfiGD2/acdIvmZTs93/IEJoVIVlyVDsDQPhiUTb5pz9J3/1us56a\nlPB2/PHSt7/duF4sn5kzpR/8oLDX7tUr63ZuGX38sTWT8LNy1lIm52y6oH//JvvbXd5TevMcSbtL\ny796qO6e+iPd/4f10hNPSH/4g/S971laPflkq/t0Tqqq0t+u2KybPrtU7hbbtO576qsVS85R//5x\naHWKoHiehbfRo+3Pa9dKu+4a9aiitXixVF2d/zj/e5bk8ObPvHme/er7JZM+/2bRiBHRjREoBjNv\nAGKjocHujEdaNvneezbD84UvNOvp5Qhv9fU2eRTk9glt2tjat0Jm39avt4u9/fcv7LWLncFatswm\nyvydD4rpALdmjZU69u5tn3+y5q1zZ/sL/vOf0gsv2A/XeedZ6PvKV7T586foore+pTHz77ROLF27\naszWf+rTJw2yffc2by78L4BYW7rUfi+7dbOGNpROFn6T7OCDrRNrkssm99jDQpu/A4u/TYCPdW9I\nGsIbgNj44AO75m5mF/xg/PnPdtHfrl2znl6O8LZhg+2fFnTDgDPPtL9uQ0Pu4157TTrgAAt8hSh2\nzVtqyaRUXAc4f+bQ/97075+hYcmQIdJ119lV25tvSnPm6PYfvKNbz52lqif+Lt16q3T55bpz3N/0\n5HeftMA3eLD09NOF/yUQW3PmNN546NeP0kmpsDVvkjW2ffFFadiw8o+pXJxrWjo5e3bTmTe2C0DS\nEN4AxEbk690aGqS777YSu2YqR3gLumTSN3y4lY/dfXfGJo6fKGa9m1T8zFtNjXWa9A0danfCc43J\nl9ppUrI97FautFLMXObN23k2YffdpbfbHWQdLu+7z7pcLlpU+F8EsfTWW43hg5k3m8mvq8u9x1uq\nESOS22nS55dOrl9vM3BDhjR+je0CkDSENwCxEfl6t+nTpS5drDlGMyUpvDkn/f731rjxyCOl//wn\n83HFhrdiZ95qa5teSO62m80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qRGOlWjXmCTVpArRsiTaDm+Cb6SWZ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"text/plain": [
"<matplotlib.figure.Figure at 0x11d63f410>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"expwighted_avg = pd.ewma(ts, halflife=12)\n",
"plt.plot(ts)\n",
"plt.plot(expwighted_avg, color='red')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:5: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).mean()\n",
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:6: FutureWarning: pd.rolling_std is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).std()\n"
]
},
{
"data": {
"image/png": 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91apV480336RZs2ZUqVKFO+64g4cffph+/foBcOedd7JmzRqqV69O3759KVOm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\nSAr4f6fkCMupPfuNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1215a1310>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Results of Dickey-Fuller Test:\n",
"Test Statistic -3.856342\n",
"p-value 0.002381\n",
"#Lags Used 3.000000\n",
"Number of Observations Used 212.000000\n",
"Critical Value (5%) -2.875272\n",
"Critical Value (1%) -3.461578\n",
"Critical Value (10%) -2.574089\n",
"dtype: float64\n"
]
}
],
"source": [
"ts_ewma_diff = ts - expwighted_avg\n",
"test_stationarity(ts_ewma_diff)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x116f80bd0>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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uEyFFYQRIUmFXK1HMKGFnS1Jh19kpn42N85RE2MXFHGwcu7yE3bRpbhy7anTG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"text/plain": [
"<matplotlib.figure.Figure at 0x12155e510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Difference transformation \n",
"ts_diff = ts - ts.shift()\n",
"plt.plot(ts_diff)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:5: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).mean()\n",
"/Users/wannjiun/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:6: FutureWarning: pd.rolling_std is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=12,center=False).std()\n"
]
},
{
"data": {
"image/png": 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Yx9eBe1Xs9u79Dn//EJo2bZpzX95Fyj08PHj55Zd59tln2blzpwtaKYR7ee01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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d611810>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Results of Dickey-Fuller Test:\n",
"Test Statistic -1.124041e+01\n",
"p-value 1.812994e-20\n",
"#Lags Used 1.000000e+00\n",
"Number of Observations Used 2.130000e+02\n",
"Critical Value (5%) -2.875207e+00\n",
"Critical Value (1%) -3.461429e+00\n",
"Critical Value (10%) -2.574054e+00\n",
"dtype: float64\n"
]
}
],
"source": [
"ts_diff.dropna(inplace=True)\n",
"test_stationarity(ts_diff)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# from statsmodels.tsa.seasonal import seasonal_decompose\n",
"# decomposition = seasonal_decompose(ts)\n",
"\n",
"# trend = decomposition.trend\n",
"# seasonal = decomposition.seasonal\n",
"# residual = decomposition.resid\n",
"\n",
"# plt.subplot(411)\n",
"# plt.plot(ts, label='Original')\n",
"# plt.legend(loc='best')\n",
"# plt.subplot(412)\n",
"# plt.plot(trend, label='Trend')\n",
"# plt.legend(loc='best')\n",
"# plt.subplot(413)\n",
"# plt.plot(seasonal,label='Seasonality')\n",
"# plt.legend(loc='best')\n",
"# plt.subplot(414)\n",
"# plt.plot(residual, label='Residuals')\n",
"# plt.legend(loc='best')\n",
"# plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#ACF and PACF plots:\n",
"from statsmodels.tsa.stattools import acf, pacf"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lag_acf = acf(ts_diff, nlags=20)\n",
"lag_pacf = pacf(ts_diff, nlags=20, method='ols')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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7ycwejeO47dtLfftKCxfGsTcAABAnEhgAACBVzKyNpEmSxkgaImm8mQ2ut00X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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117a9cad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Plot ACF: \n",
"plt.subplot(121) \n",
"plt.plot(lag_acf)\n",
"plt.axhline(y=0,linestyle='--',color='gray')\n",
"plt.axhline(y=-1.96/np.sqrt(len(ts_diff)),linestyle='--',color='gray')\n",
"plt.axhline(y=1.96/np.sqrt(len(ts_diff)),linestyle='--',color='gray')\n",
"plt.title('Autocorrelation Function')\n",
"\n",
"#Plot PACF:\n",
"plt.subplot(122)\n",
"plt.plot(lag_pacf)\n",
"plt.axhline(y=0,linestyle='--',color='gray')\n",
"plt.axhline(y=-1.96/np.sqrt(len(ts_diff)),linestyle='--',color='gray')\n",
"plt.axhline(y=1.96/np.sqrt(len(ts_diff)),linestyle='--',color='gray')\n",
"plt.title('Partial Autocorrelation Function')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from statsmodels.tsa.arima_model import ARIMA"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x123095c90>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CZiYsnkJIGjFyxSjsvNHUBCxaJIOzdDh2jY2pfc942C11AFDYERIL84QIhR0hZCZCx46Q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\nKLn/Dy7icsAAmHv/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1212c3790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# AR model\n",
"model = ARIMA(ts, order=(2, 1, 0)) \n",
"results_AR = model.fit(disp=-1) \n",
"plt.plot(ts_diff)\n",
"plt.plot(results_AR.fittedvalues, color='red')\n",
"plt.title('RSS: %.4f'% sum((results_AR.fittedvalues-ts_diff)**2))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1232b0090>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Uk8KOEPcY101lJR07QsjohMVTCEkjRq4YhZ076uqAGTNkcJYOx66mJrX7jIXdUgcAhR0h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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123116d10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# MA model\n",
"model = ARIMA(ts, order=(0, 1, 2)) \n",
"results_MA = model.fit(disp=-1) \n",
"plt.plot(ts_diff)\n",
"plt.plot(results_MA.fittedvalues, color='red')\n",
"plt.title('RSS: %.4f'% sum((results_MA.fittedvalues-ts_diff)**2))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1234ccb90>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ksAMeegj42c9S3QrviCbsSkrG9Fg8GIWVlDKdo4YKSlE45s03A6+9Zv/Yzp3A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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117ab9090>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ARIMA model\n",
"model = ARIMA(ts, order=(1, 1, 1)) \n",
"results_ARIMA = model.fit(disp=-1) \n",
"plt.plot(ts_diff)\n",
"plt.plot(results_ARIMA.fittedvalues, color='red')\n",
"plt.title('RSS: %.4f'% sum((results_ARIMA.fittedvalues-ts_diff)**2))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"time\n",
"2009-07-01 01:00:00 0.000656\n",
"2009-07-01 02:00:00 0.013765\n",
"2009-07-01 03:00:00 -0.031579\n",
"2009-07-01 04:00:00 0.033425\n",
"2009-07-01 05:00:00 -0.023010\n",
"dtype: float64\n"
]
}
],
"source": [
"predictions_ARIMA_diff = pd.Series(results_ARIMA.fittedvalues, copy=True)\n",
"print predictions_ARIMA_diff.head()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"time\n",
"2009-07-01 01:00:00 0.000656\n",
"2009-07-01 02:00:00 0.014421\n",
"2009-07-01 03:00:00 -0.017158\n",
"2009-07-01 04:00:00 0.016267\n",
"2009-07-01 05:00:00 -0.006743\n",
"dtype: float64\n"
]
}
],
"source": [
"predictions_ARIMA_diff_cumsum = predictions_ARIMA_diff.cumsum()\n",
"print predictions_ARIMA_diff_cumsum.head()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"time\n",
"2009-07-01 00:00:00 0.045000\n",
"2009-07-01 01:00:00 0.045656\n",
"2009-07-01 02:00:00 0.059421\n",
"2009-07-01 03:00:00 0.027842\n",
"2009-07-01 04:00:00 0.061267\n",
"dtype: float64"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predictions_ARIMA = pd.Series(ts.ix[0], index=ts.index)\n",
"predictions_ARIMA = predictions_ARIMA.add(predictions_ARIMA_diff_cumsum,fill_value=0)\n",
"predictions_ARIMA.head()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1235aa7d0>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AtQhvAADAywhvAFCL8AYAALyM8AYAtQINS+JBeAMAAJlGeAOAWjQsAQAAXkZ4A4BalE0C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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123539250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts)\n",
"plt.plot(predictions_ARIMA)\n",
"plt.title('RMSE: %.4f'% np.sqrt(sum((predictions_ARIMA-ts)**2)/len(ts)))"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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