{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Sunspots data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:56.396247Z", "iopub.status.busy": "2021-02-02T06:52:56.395217Z", "iopub.status.idle": "2021-02-02T06:52:56.897139Z", "shell.execute_reply": "2021-02-02T06:52:56.898573Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:56.904628Z", "iopub.status.busy": "2021-02-02T06:52:56.902845Z", "iopub.status.idle": "2021-02-02T06:52:58.047598Z", "shell.execute_reply": "2021-02-02T06:52:58.048977Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import stats\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import statsmodels.api as sm\n", "from statsmodels.tsa.arima.model import ARIMA" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:58.055003Z", "iopub.status.busy": "2021-02-02T06:52:58.053340Z", "iopub.status.idle": "2021-02-02T06:52:58.060301Z", "shell.execute_reply": "2021-02-02T06:52:58.061501Z" } }, "outputs": [], "source": [ "from statsmodels.graphics.api import qqplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sunspots Data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:58.066849Z", "iopub.status.busy": "2021-02-02T06:52:58.065181Z", "iopub.status.idle": "2021-02-02T06:52:58.074546Z", "shell.execute_reply": "2021-02-02T06:52:58.076087Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "::\n", "\n", " Number of Observations - 309 (Annual 1700 - 2008)\n", " Number of Variables - 1\n", " Variable name definitions::\n", "\n", " SUNACTIVITY - Number of sunspots for each year\n", "\n", " The data file contains a 'YEAR' variable that is not returned by load.\n", "\n" ] } ], "source": [ "print(sm.datasets.sunspots.NOTE)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:58.081872Z", "iopub.status.busy": "2021-02-02T06:52:58.080930Z", "iopub.status.idle": "2021-02-02T06:52:58.093744Z", "shell.execute_reply": "2021-02-02T06:52:58.095023Z" } }, "outputs": [], "source": [ "dta = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:58.100731Z", "iopub.status.busy": "2021-02-02T06:52:58.098921Z", "iopub.status.idle": "2021-02-02T06:52:58.116312Z", "shell.execute_reply": "2021-02-02T06:52:58.117577Z" } }, "outputs": [], "source": [ "dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n", "del dta[\"YEAR\"]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:58.123176Z", "iopub.status.busy": "2021-02-02T06:52:58.121415Z", "iopub.status.idle": "2021-02-02T06:52:58.742472Z", "shell.execute_reply": "2021-02-02T06:52:58.741051Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dta.plot(figsize=(12,8));" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:58.747889Z", "iopub.status.busy": "2021-02-02T06:52:58.746852Z", "iopub.status.idle": "2021-02-02T06:52:59.337887Z", "shell.execute_reply": "2021-02-02T06:52:59.339196Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.345051Z", "iopub.status.busy": "2021-02-02T06:52:59.343256Z", "iopub.status.idle": "2021-02-02T06:52:59.620295Z", "shell.execute_reply": "2021-02-02T06:52:59.621631Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", " % freq, ValueWarning)\n", "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", " % freq, ValueWarning)\n", "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", " % freq, ValueWarning)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "const 49.746198\n", "ar.L1 1.390633\n", "ar.L2 -0.688573\n", "sigma2 274.727182\n", "dtype: float64\n" ] } ], "source": [ "arma_mod20 = ARIMA(dta, order=(2, 0, 0)).fit()\n", "print(arma_mod20.params)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.627834Z", "iopub.status.busy": "2021-02-02T06:52:59.625885Z", "iopub.status.idle": "2021-02-02T06:52:59.927784Z", "shell.execute_reply": "2021-02-02T06:52:59.928795Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", " % freq, ValueWarning)\n", "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", " % freq, ValueWarning)\n", "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", " % freq, ValueWarning)\n" ] } ], "source": [ "arma_mod30 = ARIMA(dta, order=(3, 0, 0)).fit()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.933084Z", "iopub.status.busy": "2021-02-02T06:52:59.931832Z", "iopub.status.idle": "2021-02-02T06:52:59.939006Z", "shell.execute_reply": "2021-02-02T06:52:59.939907Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2622.637093301343 2637.570458408934 2628.607481146589\n" ] } ], "source": [ "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.944070Z", "iopub.status.busy": "2021-02-02T06:52:59.942732Z", "iopub.status.idle": "2021-02-02T06:52:59.950531Z", "shell.execute_reply": "2021-02-02T06:52:59.951376Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.751911\n", "ar.L1 1.300818\n", "ar.L2 -0.508102\n", "ar.L3 -0.129644\n", "sigma2 270.101140\n", "dtype: float64\n" ] } ], "source": [ "print(arma_mod30.params)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.955172Z", "iopub.status.busy": "2021-02-02T06:52:59.953945Z", "iopub.status.idle": "2021-02-02T06:52:59.960842Z", "shell.execute_reply": "2021-02-02T06:52:59.961701Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2619.4036292456494 2638.0703356301383 2626.866614052207\n" ] } ], "source": [ "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Does our model obey the theory?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.965599Z", "iopub.status.busy": "2021-02-02T06:52:59.964381Z", "iopub.status.idle": "2021-02-02T06:52:59.972027Z", "shell.execute_reply": "2021-02-02T06:52:59.972899Z" } }, "outputs": [ { "data": { "text/plain": [ "1.9564953613122156" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.stats.durbin_watson(arma_mod30.resid.values)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:59.984415Z", "iopub.status.busy": "2021-02-02T06:52:59.975312Z", "iopub.status.idle": "2021-02-02T06:53:00.301827Z", "shell.execute_reply": "2021-02-02T06:53:00.302778Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "ax = arma_mod30.resid.plot(ax=ax);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:00.306941Z", "iopub.status.busy": "2021-02-02T06:53:00.305708Z", "iopub.status.idle": "2021-02-02T06:53:00.310912Z", "shell.execute_reply": "2021-02-02T06:53:00.311776Z" } }, "outputs": [], "source": [ "resid = arma_mod30.resid" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:00.315589Z", "iopub.status.busy": "2021-02-02T06:53:00.314403Z", "iopub.status.idle": "2021-02-02T06:53:00.323828Z", "shell.execute_reply": "2021-02-02T06:53:00.324673Z" } }, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=49.843932217643335, pvalue=1.5015079664870237e-11)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.normaltest(resid)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:00.328693Z", "iopub.status.busy": "2021-02-02T06:53:00.327383Z", "iopub.status.idle": "2021-02-02T06:53:00.533447Z", "shell.execute_reply": "2021-02-02T06:53:00.534345Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "fig = qqplot(resid, line='q', ax=ax, fit=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:00.538639Z", "iopub.status.busy": "2021-02-02T06:53:00.537303Z", "iopub.status.idle": "2021-02-02T06:53:01.024570Z", "shell.execute_reply": "2021-02-02T06:53:01.026056Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(resid.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.032997Z", "iopub.status.busy": "2021-02-02T06:53:01.030811Z", "iopub.status.idle": "2021-02-02T06:53:01.063948Z", "shell.execute_reply": "2021-02-02T06:53:01.065281Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 0.009170 0.026239 8.713184e-01\n", "2.0 0.041793 0.572982 7.508939e-01\n", "3.0 -0.001338 0.573544 9.024612e-01\n", "4.0 0.136086 6.408642 1.706385e-01\n", "5.0 0.092465 9.111351 1.047043e-01\n", "6.0 0.091947 11.792661 6.675737e-02\n", "7.0 0.068747 13.296552 6.520425e-02\n", "8.0 -0.015022 13.368601 9.978086e-02\n", "9.0 0.187590 24.641072 3.394963e-03\n", "10.0 0.213715 39.320758 2.230588e-05\n", "11.0 0.201079 52.359565 2.346490e-07\n", "12.0 0.117180 56.802479 8.580351e-08\n", "13.0 -0.014057 56.866630 1.895209e-07\n", "14.0 0.015398 56.943864 4.000370e-07\n", "15.0 -0.024969 57.147642 7.746546e-07\n", "16.0 0.080916 59.295052 6.876728e-07\n", "17.0 0.041138 59.852008 1.111674e-06\n", "18.0 -0.052022 60.745723 1.549418e-06\n", "19.0 0.062496 62.040010 1.832778e-06\n", "20.0 -0.010303 62.075305 3.383285e-06\n", "21.0 0.074453 63.924941 3.195540e-06\n", "22.0 0.124954 69.152954 8.984238e-07\n", "23.0 0.093162 72.069214 5.803579e-07\n", "24.0 -0.082152 74.344911 4.716006e-07\n", "25.0 0.015696 74.428271 8.294197e-07\n", "26.0 -0.025037 74.641127 1.368121e-06\n", "27.0 -0.125862 80.039434 3.724792e-07\n", "28.0 0.053227 81.008321 4.718979e-07\n", "29.0 -0.038693 81.522151 6.920524e-07\n", "30.0 -0.016903 81.620562 1.152301e-06\n", "31.0 -0.019297 81.749282 1.869783e-06\n", "32.0 0.104990 85.573436 8.932762e-07\n", "33.0 0.040086 86.132924 1.248176e-06\n", "34.0 0.008829 86.160166 2.048904e-06\n", "35.0 0.014589 86.234809 3.265491e-06\n", "36.0 -0.119329 91.247280 1.085015e-06\n", "37.0 -0.036664 91.722221 1.522712e-06\n", "38.0 -0.046193 92.478877 1.939724e-06\n", "39.0 -0.017768 92.591238 2.992188e-06\n", "40.0 -0.006220 92.605057 4.699318e-06\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/stattools.py:662: FutureWarning: The default number of lags is changing from 40 tomin(int(10 * np.log10(nobs)), nobs - 1) after 0.12is released. Set the number of lags to an integer to silence this warning.\n", " FutureWarning,\n" ] } ], "source": [ "r,q,p = sm.tsa.acf(resid.values.squeeze(), fft=True, qstat=True)\n", "data = np.c_[range(1,41), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index('lag'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* This indicates a lack of fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* In-sample dynamic prediction. How good does our model do?" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.070789Z", "iopub.status.busy": "2021-02-02T06:53:01.069265Z", "iopub.status.idle": "2021-02-02T06:53:01.106124Z", "shell.execute_reply": "2021-02-02T06:53:01.107286Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1990-12-31 167.048337\n", "1991-12-31 140.995022\n", "1992-12-31 94.862115\n", "1993-12-31 46.864439\n", "1994-12-31 11.246106\n", "1995-12-31 -4.718265\n", "1996-12-31 -1.164628\n", "1997-12-31 16.187246\n", "1998-12-31 39.022948\n", "1999-12-31 59.450799\n", "2000-12-31 72.171269\n", "2001-12-31 75.378329\n", "2002-12-31 70.438480\n", "2003-12-31 60.733987\n", "2004-12-31 50.204383\n", "2005-12-31 42.078584\n", "2006-12-31 38.116648\n", "2007-12-31 38.456730\n", "2008-12-31 41.965644\n", "2009-12-31 46.870948\n", "2010-12-31 51.424877\n", "2011-12-31 54.401403\n", "2012-12-31 55.323515\n", "Freq: A-DEC, Name: predicted_mean, dtype: float64\n" ] } ], "source": [ "predict_sunspots = arma_mod30.predict('1990', '2012', dynamic=True)\n", "print(predict_sunspots)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.111837Z", "iopub.status.busy": "2021-02-02T06:53:01.110455Z", "iopub.status.idle": "2021-02-02T06:53:01.117001Z", "shell.execute_reply": "2021-02-02T06:53:01.118895Z" } }, "outputs": [], "source": [ "def mean_forecast_err(y, yhat):\n", " return y.sub(yhat).mean()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.130962Z", "iopub.status.busy": "2021-02-02T06:53:01.129282Z", "iopub.status.idle": "2021-02-02T06:53:01.139787Z", "shell.execute_reply": "2021-02-02T06:53:01.140874Z" } }, "outputs": [ { "data": { "text/plain": [ "5.634832993585241" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: Can you obtain a better fit for the Sunspots model? (Hint: sm.tsa.AR has a method select_order)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulated ARMA(4,1): Model Identification is Difficult" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.147686Z", "iopub.status.busy": "2021-02-02T06:53:01.146715Z", "iopub.status.idle": "2021-02-02T06:53:01.151428Z", "shell.execute_reply": "2021-02-02T06:53:01.152640Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.arima_process import ArmaProcess" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.160001Z", "iopub.status.busy": "2021-02-02T06:53:01.159015Z", "iopub.status.idle": "2021-02-02T06:53:01.163935Z", "shell.execute_reply": "2021-02-02T06:53:01.165239Z" } }, "outputs": [], "source": [ "np.random.seed(1234)\n", "# include zero-th lag\n", "arparams = np.array([1, .75, -.65, -.55, .9])\n", "maparams = np.array([1, .65])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make sure this model is estimable." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.171841Z", "iopub.status.busy": "2021-02-02T06:53:01.170840Z", "iopub.status.idle": "2021-02-02T06:53:01.175825Z", "shell.execute_reply": "2021-02-02T06:53:01.176607Z" } }, "outputs": [], "source": [ "arma_t = ArmaProcess(arparams, maparams)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.184349Z", "iopub.status.busy": "2021-02-02T06:53:01.183038Z", "iopub.status.idle": "2021-02-02T06:53:01.190774Z", "shell.execute_reply": "2021-02-02T06:53:01.192412Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arma_t.isinvertible" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.198348Z", "iopub.status.busy": "2021-02-02T06:53:01.197599Z", "iopub.status.idle": "2021-02-02T06:53:01.203790Z", "shell.execute_reply": "2021-02-02T06:53:01.204751Z" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arma_t.isstationary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* What does this mean?" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.228817Z", "iopub.status.busy": "2021-02-02T06:53:01.222030Z", "iopub.status.idle": "2021-02-02T06:53:01.464363Z", "shell.execute_reply": "2021-02-02T06:53:01.465677Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(arma_t.generate_sample(nsample=50));" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.471604Z", "iopub.status.busy": "2021-02-02T06:53:01.469812Z", "iopub.status.idle": "2021-02-02T06:53:01.481831Z", "shell.execute_reply": "2021-02-02T06:53:01.483079Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arparams = np.array([1, .35, -.15, .55, .1])\n", "maparams = np.array([1, .65])\n", "arma_t = ArmaProcess(arparams, maparams)\n", "arma_t.isstationary" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.488613Z", "iopub.status.busy": "2021-02-02T06:53:01.486875Z", "iopub.status.idle": "2021-02-02T06:53:01.493990Z", "shell.execute_reply": "2021-02-02T06:53:01.495223Z" } }, "outputs": [], "source": [ "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:01.500791Z", "iopub.status.busy": "2021-02-02T06:53:01.499060Z", "iopub.status.idle": "2021-02-02T06:53:02.041552Z", "shell.execute_reply": "2021-02-02T06:53:02.043014Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(arma_rvs, lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(arma_rvs, lags=40, ax=ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* For mixed ARMA processes the Autocorrelation function is a mixture of exponentials and damped sine waves after (q-p) lags.\n", "* The partial autocorrelation function is a mixture of exponentials and dampened sine waves after (p-q) lags." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:02.049676Z", "iopub.status.busy": "2021-02-02T06:53:02.047664Z", "iopub.status.idle": "2021-02-02T06:53:02.442312Z", "shell.execute_reply": "2021-02-02T06:53:02.443403Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n", " warn('Non-stationary starting autoregressive parameters'\n", "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n", " warn('Non-invertible starting MA parameters found.'\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 -0.001244 0.000778 9.777436e-01\n", "2.0 0.052350 1.382049 5.010626e-01\n", "3.0 -0.522181 139.090106 5.938063e-30\n", "4.0 0.146506 149.951983 2.084573e-31\n", "5.0 -0.091171 154.166872 1.731083e-31\n", "6.0 0.337059 211.891306 5.568290e-43\n", "7.0 -0.160920 225.075262 5.519054e-45\n", "8.0 0.116132 231.955610 1.142179e-45\n", "9.0 -0.195352 251.464207 4.895752e-49\n", "10.0 0.166410 265.649428 2.760836e-51\n", "11.0 -0.126465 273.858717 2.767679e-52\n", "12.0 0.115015 280.662675 5.334652e-53\n", "13.0 -0.159302 293.742050 4.899046e-55\n", "14.0 0.095846 298.486519 2.444596e-55\n", "15.0 -0.062853 300.531001 4.335557e-55\n", "16.0 0.159244 313.681886 3.718133e-57\n", "17.0 -0.089423 317.837389 2.317190e-57\n", "18.0 0.002504 317.840655 1.018533e-56\n", "19.0 -0.124735 325.959706 9.297882e-58\n", "20.0 0.093960 330.576238 4.414194e-58\n", "21.0 -0.016212 330.713971 1.708363e-57\n", "22.0 0.054804 332.291098 3.279536e-57\n", "23.0 -0.110592 338.726892 6.325402e-58\n", "24.0 0.022742 338.999620 2.166837e-57\n", "25.0 0.029459 339.458216 6.665490e-57\n", "26.0 0.095294 344.266902 2.658405e-57\n", "27.0 -0.053408 345.780570 4.853849e-57\n", "28.0 -0.029575 346.245693 1.418122e-56\n", "29.0 -0.022668 346.519521 4.448333e-56\n", "30.0 0.066872 348.907686 5.186512e-56\n", "31.0 0.039120 349.726701 1.228743e-55\n", "32.0 -0.041051 350.630508 2.760218e-55\n", "33.0 -0.084511 354.469188 1.602581e-55\n", "34.0 -0.008108 354.504597 5.223692e-55\n", "35.0 0.090451 358.920813 2.295026e-55\n", "36.0 0.118710 366.543846 2.342022e-56\n", "37.0 0.074002 369.512605 1.968357e-56\n", "38.0 -0.067954 372.021404 2.022311e-56\n", "39.0 -0.116515 379.412938 2.277599e-57\n", "40.0 -0.071747 382.221721 2.023659e-57\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/stattools.py:662: FutureWarning: The default number of lags is changing from 40 tomin(int(10 * np.log10(nobs)), nobs - 1) after 0.12is released. Set the number of lags to an integer to silence this warning.\n", " FutureWarning,\n" ] } ], "source": [ "arma11 = ARIMA(arma_rvs, order=(1, 0, 1)).fit()\n", "resid = arma11.resid\n", "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n", "data = np.c_[range(1,41), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index('lag'))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:02.449362Z", "iopub.status.busy": "2021-02-02T06:53:02.447359Z", "iopub.status.idle": "2021-02-02T06:53:03.433801Z", "shell.execute_reply": "2021-02-02T06:53:03.435120Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 -0.007899 0.031383 0.859389\n", "2.0 0.004128 0.039972 0.980212\n", "3.0 0.018095 0.205341 0.976722\n", "4.0 -0.006766 0.228509 0.993949\n", "5.0 0.018123 0.395044 0.995465\n", "6.0 0.050690 1.700565 0.945078\n", "7.0 0.010253 1.754087 0.972191\n", "8.0 -0.011208 1.818176 0.986088\n", "9.0 0.020292 2.028663 0.991006\n", "10.0 0.001028 2.029204 0.996111\n", "11.0 -0.014033 2.130285 0.997983\n", "12.0 -0.023858 2.423052 0.998426\n", "13.0 -0.002108 2.425342 0.999339\n", "14.0 -0.018784 2.607562 0.999589\n", "15.0 0.011317 2.673844 0.999805\n", "16.0 0.042158 3.595554 0.999443\n", "17.0 0.007943 3.628344 0.999734\n", "18.0 -0.074312 6.504019 0.993685\n", "19.0 -0.023378 6.789205 0.995255\n", "20.0 0.002398 6.792213 0.997313\n", "21.0 0.000488 6.792338 0.998515\n", "22.0 0.017953 6.961578 0.999024\n", "23.0 -0.038576 7.744617 0.998744\n", "24.0 -0.029817 8.213410 0.998859\n", "25.0 0.077850 11.415980 0.990674\n", "26.0 0.040407 12.280577 0.989478\n", "27.0 -0.018613 12.464413 0.992261\n", "28.0 -0.014765 12.580339 0.994586\n", "29.0 0.017650 12.746347 0.996111\n", "30.0 -0.005486 12.762422 0.997504\n", "31.0 0.058257 14.578761 0.994613\n", "32.0 -0.040841 15.473357 0.993886\n", "33.0 -0.019495 15.677617 0.995392\n", "34.0 0.037267 16.425688 0.995214\n", "35.0 0.086212 20.437647 0.976294\n", "36.0 0.041271 21.359026 0.974772\n", "37.0 0.078704 24.717091 0.938945\n", "38.0 -0.029731 25.197309 0.944891\n", "39.0 -0.078398 28.543746 0.891169\n", "40.0 -0.014466 28.657935 0.909260\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/stattools.py:662: FutureWarning: The default number of lags is changing from 40 tomin(int(10 * np.log10(nobs)), nobs - 1) after 0.12is released. Set the number of lags to an integer to silence this warning.\n", " FutureWarning,\n" ] } ], "source": [ "arma41 = ARIMA(arma_rvs, order=(4, 0, 1)).fit()\n", "resid = arma41.resid\n", "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n", "data = np.c_[range(1,41), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index('lag'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: How good of in-sample prediction can you do for another series, say, CPI" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:03.441949Z", "iopub.status.busy": "2021-02-02T06:53:03.439676Z", "iopub.status.idle": "2021-02-02T06:53:03.462843Z", "shell.execute_reply": "2021-02-02T06:53:03.464350Z" } }, "outputs": [], "source": [ "macrodta = sm.datasets.macrodata.load_pandas().data\n", "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n", "cpi = macrodta[\"cpi\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Hint: " ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:03.470981Z", "iopub.status.busy": "2021-02-02T06:53:03.469034Z", "iopub.status.idle": "2021-02-02T06:53:03.835125Z", "shell.execute_reply": "2021-02-02T06:53:03.836533Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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oKNOzlyRpyqBeTkfyKhRmAACALsrlsnrhx2zdv3idegT4au7Fk3XU8N5Ox/I6FGYAAIAuaFdFja59baW+37RDR4/orfvOHKveYUFOx/JKFGYAAIAuJqekQpe8sEy5JZX6x+ljNWvKAO7e14EozAAAAF3I2tzd+u2Ly1Vb79Irv5vKeuVOQGEGAADoIhan5uuGhasVGRKg1+dM1ZDeYU5H6hYozAAAAB6ups6lf3ycoRd/zNb4ARF69qLJ6h3OeuXOQmEGAADwYBsLynTTW2u0OmeXLjt0kG45cYQC/Lj3XGeiMAMAAHgQa63S8kr1SWq+Pksr0MbCPQoL8tPTF07WjDF9nY7XLVGYAQAAPEBhWZXeW7lNb6XkakPBHvn6GE1J6KULpsbrpLGxLMFwEIUZAADAYS/+kKW7P8pQnctqYnyE7jl9jE4aE6vIHgFOR4MozAAAAI5xuaz+8XGGnvs+S8eO7KNbThzOzhceiMIMAADggKraet24cLU+WpuvSw9J0F9mjpKvDzcf8UQUZgAAgE6Wu7NC17y2Uqtzdun2k0bqd4cP4k59HozCDAAA0Im+SC/QjW+ulstl9fSFkzRjTKzTkXAAFGYAAIBOUFhapX9/s1kv/JCt0f3C9dQFkzQwqofTsdAMFGYAAIAOlJa3W89/n6UPVuepzmV10bSBuv3kkQry93U6GpqJwgwAANBBnv8+S3//MF09Anx1wdSBuvSQBCVEc1a5q6EwAwAAdICfy/JJY/vq3jPGqWewv9OR0EoUZgAAgHY2z12WTxzTV/88b6L8fX2cjoQ2oDADAAC0Qk5JhTJ3lCt3Z4Vyd1aqZE+NSqtqVVJeo6VZJTphdB89Pouy7A0ozAAAAC1QvKdad3+UoXdXbvtlzM/HKCo0QOFB/goP9tdvD03QrSeOpCx7CQozAABAM1hr9WZKrv7xcYbKq+t09ZGDdeTw3oqLDFaf8CDu0ufFDliYjTHzJM2UVGitHeMee0PScPdLIiTtstZOMMYkSMqQtN793BJr7ZXtHRoAAKCzWGv19foiPfbFBq3O3a2kgZG694yxGtonzOlo6CTNOcP8oqQnJL3884C19tyfHxtjHpa0u9HrN1trJ7RTPgAAAMcsySzWvZ+s0+qcXYqLDNYDZ43TWZPi5MPZ5G7lgIXZWvut+8zxr5iGm56fI+nods4FAADgqK/WF2rOy8nqHRake88YqzMnxSnAjzXJ3VFb1zAfLqnAWrux0dggY8xKSaWS7rDWftfG7wEAANCplmWV6KpXUjSsT5gWzJmm8CD2UO7O2lqYZ0la0OjrfEnx1tpiY8xkSe8ZY0Zba0v3PtAYM0fSHEmKj49vYwwAAID2kbptt2a/uFz9IoL10mVTKMtQq3+vYIzxk3SGpDd+HrPWVltri92PUyRtljRsX8dba+daa5OstUkxMTGtjQEAANBulmWV6OJ5yxQe7K9XZk9VdGig05HgAdqyEOdYSeustbk/DxhjYowxvu7HiZKGSspsW0QAAICO5XJZ/fvrzZr17BKFB/lp/uwp6hcR7HQseIjmbCu3QNKRkqKNMbmS7rTWPi/pPP3vcgxJmi7pb8aYOkn1kq601pa0b2QAAID2s7uiVn94Y6W+Wl+kk8fG6r4zxyqMZRhopDm7ZMzaz/il+xh7W9LbbY8FAADQ8Spr6nXpi8uUtq1Ufz91tC6cNlANm4AB/8Wd/gAAQLdU77K67vWVWpWzS/++YLJmjOnrdCR4KDYTBAAA3Y61VnctStPn6QW66zejKctoEoUZAAB0O099vVnzl2zRFdMTdckhCU7HgYejMAMAgG7lue8y9eCn63XqhH66ecYIp+OgC6AwAwCAbuO57zJ190cZOnlsrB4+e7x8fLjADwdGYQYAAN3CvO+zdPdHGTpxTF89dt4E+flSg9A87JIBAAC8WlVtvf7+YbpeXbpVM0b31eOzJsqfsowWoDADAACvlb2jXNe8tkJpeaW6YnqibjphOGUZLUZhBgAAXuk/6wp0/YJV8vExeu7iJB07qo/TkdBFUZgBAIDXeXXpFv3lvVSN6heupy+crLjIEKcjoQujMAMAAK9hrdVDn63Xk19t1lHDY/TE+ZPUI5C6g7ZhBgEAAK+wbnupHly8Xl+uK9SsKQP091PHsBMG2gWFGQAAdGkbCsr0zy826qO1+QoN9NMdJ4/U7MMGyRj2WEb7oDADAIAuyeWyeva7TD3w6XoF+/vq90cP0ezDBikiJMDpaPAyFGYAANDl7Kqo0Y0LV+vLdYU6aWxf3XPaWEX2oCijY1CYAQBAl+FyWX2WXqC/f5iuwrIq3fWbUbrkkASWX6BDUZgBAIDHs7ahKP/zi41Kzy9VYkwPvXXlIRo/IMLpaOgGKMwAAMBjVdXWa9GqPM37IUvrtpcpISpEj5wzXqeM78cOGOg0FGYAAOBxqmrrNffbTL30Y7aKy2s0om+YHj57vE6dQFFG56MwAwAAj/LDph267d212lJcoWNG9Nbswwbp4MFRrFOGYyjMAADAMdZaFe2pVk5JpXJ3VuirdYV6b1WeBkX30Gu/m6pDhkQ7HRGgMAMAgM5VV+/SsqwSfZZeoM/Stitvd9UvzwX4+uj3Rw/RNUcNUZC/r4Mpgf+iMAMAgE7zw6Yd+vNba7RtV6UC/Xx0+NAYXT49UQOjQjQgMkRxkSEKDqAow7NQmAEAQIerqq3X/YvX6YUfspUY00NPXTBJRw6PUUgAVQSej1kKAAA6TO7OCn2eXqD5S7Yos6hclx6SoJtnjOAsMroUCjMAAGg31lptKNijT9O267P07UrdVipJGt4nTPNnT9HhQ2McTgi0HIUZAAC0WW29S898s1lvpuRqS3GFjJEmDojQrSeO0PGj+2pQdA+nIwKtRmEGAABtkr+7Ute+tlIpW3bq8KHRumL6YB07srd6hwc5HQ1oFxRmAADQal+vL9Qf31ilmjqXHp81UaeM7+d0JKDdUZgBAECL1dW79OgXG/TkV5s1om+YnrxgkgbHhDodC+gQFGYAANAiBaVVum7BSi3NKtF5Bw3QXaeM5iYj8GoUZgAA0CzWWn2atl23v5uqipp6PXLOeJ0xKc7pWECHozADAIADSt22W3//MF1Ls0o0om+Y/jVroob2CXM6FtApKMwAAGC/autd+vuH6Zq/ZIsiQwL099PGaNZBA+Tn6+N0NKDTUJgBAMA+lVXV6upXV+i7jTt06SEJ+uNxw9Qz2N/pWECnozADAIBfKSit0qUvLNeGgjLdf+ZYnXtQvNORAMdQmAEAwP9YnbNLV72Sot2VtXr+kiQdOby305EAR1GYAQCApIZdMF76MVv3fJyh3mFBeuOKgzWmf0+nYwGOozADAADtrqjVre+u0cdrt+uYEb318DnjFRES4HQswCNQmAEA6MZq6116belWPfbFBpVW1enWE0fo8sMT5eNjnI4GeAwKMwAA3ZC1Vl9mFOreTzK0uahcBydG6Y6ZIzW6H0swgL1RmAEA6Eastfp6fZEe+2KDVufu1qDoHnr24iQdO7K3jOGsMrAvFGYAALqJnJIKXf/6Sq3YuktxkcG6/8yxOmNSnPy5CQnQpAP+DTHGzDPGFBpjUhuN3WWM2WaMWeX+OKnRc7caYzYZY9YbY07oqOAAAKD5ftpcrFOe+F6bCvfo3jPG6qubjtS5B8VTloFmaM4Z5hclPSHp5b3GH7XWPtR4wBgzStJ5kkZL6ifpC2PMMGttfTtkBQAArTB/yRb9dVGaEtzLLwZF93A6EtClHLAwW2u/NcYkNPP9TpX0urW2WlKWMWaTpCmSfmp9RAAA0Bq7K2r1f4tS9f6qPB09orceO2+CwoO4tTXQUm1Zw3ytMeZiScmSbrTW7pTUX9KSRq/JdY8BAIBO9P3GHbrpzdUq2lOtPx47TNcePUS+bBUHtEprFy79W9JgSRMk5Ut62D2+r7+Jdl9vYIyZY4xJNsYkFxUVtTIGAABorKyqVn95L1UXPr9UPQJ99e7Vh+j6Y4dSloE2aNUZZmttwc+PjTHPSvrQ/WWupAGNXhonKW8/7zFX0lxJSkpK2mepBgAAzbc4dbvuXJSqwrJq/fbQBN08Y4SC/H2djgV0ea0qzMaYWGttvvvL0yX9vIPGIkmvGWMeUcNFf0MlLWtzSgAAsF8l5TW65e01+iy9QCNjw/XMRUmaMCDC6ViA1zhgYTbGLJB0pKRoY0yupDslHWmMmaCG5RbZkq6QJGttmjFmoaR0SXWSrmGHDAAAOk7KlhJd+9pKFe+p0a0njtDswwbJj63igHZlrHV+NURSUpJNTk52OgYAAF2Gy2X1/PdZun/xOvWLCNZTF0zSmP7c1ho4EGNMirU2qSXHcKc/AAC6mJQtJfrbhxlanbNLM0b31QNnj2O7OKADUZgBAOgithSX68FP1+vDNfnqEx6oh84erzMn9Zcx7IABdCQKMwAAHsxaq2VZJXr++yx9nlGgQD8fXXfMUF15RKJCAvhnHOgM/E0DAMBDbSwo05/fXqOVW3cpIsRfVx85WBcfnKA+4UFORwO6FQozAAAexuWymvdDlh74dL3CAv1092ljdOakOAUHsKcy4AQKMwAAHmR1zi7d98k6/ZRZrGNH9tF9Z45VdGig07GAbo3CDACAw+rqXfosvUDPf5+llC07FRbkpwfOHKezk+K4oA/wABRmAAActCpnl259Z60y8ks1oFew/m/mKJ2dFKcwtokDPAaFGQAAB5RV1erhzzbopZ+y1ScsSP+aNVEnjY2Vrw9nlAFPQ2EGAKCT/bBph256c7W2l1bpkoMTdOPxwzijDHgwCjMAAJ2kqrZe932yTi/+mK3BMT30zlWHaGJ8pNOxABwAhRkAgE6Qnleq3y9Yoc1F5br0kATdcuIIBfmzTRzQFVCYAQDoQNZavb48R3ctSlPPYH+9MnuqDhsa7XQsAC1AYQYAoIOUV9fpjvdS9e7KbTp8aLQePXcCeyoDXRCFGQCADrBi607d8MYqbSmp0A3HDdM1Rw1hBwygi6IwAwDQjmrqXHr8y4166utNiu0ZrAWXT9O0xCinYwFoAwozAADtZGNBmf64cJVSt5Xq7Mlx+r/fjGK7OMALUJgBAGgjl8tq3g9ZeuDT9QoN9NMzF03WCaP7Oh0LQDuhMAMA0AbbdlXqpoWr9VNmsY4d2Vv3njFOMWFc2Ad4EwozAACtYK3VOyu26a5FaXJZq/vPHKtzkgbIGC7sA7wNhRkAgBYq3lOtO95L1Sep23VQQqQePnuC4qNCnI4FoINQmAEAaCZrrd5KydU/Ps7Qnuo63XLiCF1+eCLbxQFejsIMAEAzZO0o123vrNVPmcWaPDBS954xVsP6hDkdC0AnoDADANAEl8tq/pItuveTDPn7+uie08do1kHx8uGsMtBtUJgBANiP7bur9Ke3Vuu7jTt05PAY3X/mOPUJD3I6FoBORmEGAMDNWqu0vFL9tLlYSzKL9VNmsayV7jl9jM6fEs8OGEA3RWEGAEBSeXWdbli4Sp+mFUiSEqN76LSJ/TXn8EQlRPdwOB0AJ1GYAQDdXk5JhS5/OVkbCsr0pxOG66zJcSy9APALCjMAoFtbllWiK+Ynq95l9eJvp2j6sBinIwHwMBRmAEC3VV5dp6tfXaHIkAA9f+lBGsTSCwD7QGEGAHRbc7/N1I491Xr24smUZQD75eN0AAAAnFBYWqVnv8vUyWNjNTE+0uk4ADwYhRkA0C09+sVG1da79OcZw52OAsDDUZgBAN3OpsIyvbF8qy6YOlADo1iKAaBpFGYAQLdz3yfr1CPAT78/eojTUQB0ARRmAEC38tgXG/RFRqGuPmqIokIDnY4DoAugMAMAuo1/frFRj32xUWdNjtMV0xOdjgOgi6AwAwC6hX99uVGPfrFBZ06K0/1njpOPj3E6EoAugn2YAQBezVqrBz9dr6e+3qwzJvbXA2eNky9lGUALUJgBAF6rps6lP7+1Wu+tytOsKfG6+7QxlGUALUZhBgB4pdKqWl05P0U/bi7Wn04YrquPHCxjKMsAWo7CDADwOrX1Lv32heVanbNLj5wzXmdMinM6EoAujMIMAPA6Dyxep5QtO/X4rIk6ZXw/p+MA6OIOuEuGMWaeMabQGJPaaOxBY8w6Y8waY8y7xpgI93iCMabSGLPK/fF0B2YHAOBXPkvbrme/y9LFBw+kLANoF83ZVu5FSTP2Gvtc0hhr7ThJGyTd2ui5zdbaCe6PK9snJgAAB5ZTUqGb3lytsf176vaTRzodB4CXOGBhttZ+K6lkr7HPrLV17i+XSGJxGADAURsKyjRnfoqspCfPn6RAP1+nIwHwEu2xhvkySW80+nqQMWalpFJJd1hrv2uH7wEAwD4V76nWo19s0IJlOQoJ8NXj501UfFSI07EAeJE2FWZjzO2S6iS96h7KlxRvrS02xkyW9J4xZrS1tnQfx86RNEeS4uPj2xIDANBNfZq2XTe9uVoVNfW6cGq8rj92mHr1CHA6FgAv0+rCbIy5RNJMScdYa60kWWurJVW7H6cYYzZLGiYpee/jrbVzJc2VpKSkJNvaHACA7unln7J156I0jYuL0MNnj9OQ3mFORwLgpVpVmI0xMyTdLOkIa21Fo/EYSSXW2npjTKKkoZIy2yUpAACSXC6r+xev0zPfZurYkX30r1kTFRzAemUAHeeAhdkYs0DSkZKijTG5ku5Uw64YgZI+d981aYl7R4zpkv5mjKmTVC/pSmttyT7fGACAFrLW6vb31mrBshxdNG2g7jplNLe6BtDhDliYrbWz9jH8/H5e+7akt9saCgCAfXn2u0wtWJajq48crD+dMJxbXQPoFM3ZhxkAAMd9kV6gez9Zp5PHxuqm4ynLADoPhRkA4PEy8kt1/esrNbZ/Tz109nj5sAwDQCeiMAMAPFpa3m799oXlCg3y07MXJ3GBH4BOR2EGAHisj9bk68x//yhjpBd/O0V9woOcjgSgG2qPO/0BANCuXC6rx77YoMf/s0mTB0bq6QsnKyYs0OlYALopCjMAwKNU1dbrpjdX68M1+To3aYD+dtpoBfqxDAOAcyjMAACPsauiRnPmp2hZVoluPXGE5kxPZDcMAI6jMAMAPELuzgpd+sJybS2u0OOzJuqU8f2cjgQAkijMAAAPsCyrRFe9kqKaepdeumyKDh4c5XQkAPgFhRkA4KjXlm7V/72fqvheIZp7cZKG9A51OhIA/A8KMwDAEdV19fr7h+l6ZclWTR8Wo3/Nmqiewf5OxwKAX6EwAwA6XU5Jha55bYXW5O7WnOmJunnGCPly9z4AHorCDADoVJ+mbddNb66WJD194WTNGNPX4UQA0DQKMwCgUxTvqdY9H2XonZXbNLZ/Tz15/iTFR4U4HQsADojCDADoUNZavb1im+75KF1lVXW65qjBuu6YodyMBECXQWEGAHSYXRU1unHhan25rlCTB0bq3jPGalifMKdjAUCLUJgBAB1ixdad+v1rK1VUVq07fzNKlxycIB8u7APQBVGYAQDtyuWymvdDlu77ZJ1iI4L01lUHa1xchNOxAKDVKMwAgHazbVelblq4Wj9lFuv4UX304Nnj2VsZQJdHYQYAtIt3VuTqzvfT5LJW9585VuckDZAxLMEA0PVRmAEAbVJT59JdH6TptaVbdVBCpB4+ewLbxQHwKhRmAECrFe+p1lWvrNCy7BJdecRg/emE4dyxD4DXoTADAFolddtuXTE/RTv2VOuf503QqRP6Ox0JADoEhRkA0CLWWr26dKv+9mG6eoUE6M0r2QUDgHejMAMAmm1PdZ1ue2etFq3O0/RhMXr0nPGKCg10OhYAdCgKMwBAqdt2q85lNWFAxD6fLymv0YJlW/XSj9nasadafzphuK46YjA3IgHQLVCYAaCbe3/VNv3pzTWqc7l0/THDdO3RQ365cC+npEL//maz3k7JVXWdS4cPjdZTx0xSUkIvh1MDQOehMANAN2Wt1TPfZuq+T9ZpyqBe6tczSI9+sUHLs0v05xnDtWDZVr2ZnCsfH6MzJvbXZYcN0rA+YU7HBoBOR2EGgG6otKpW932yTq8t3aqZ42L18DnjFeDro2mJUbpzUZpOeeIHBfj66Pyp8br6yCHq2zPI6cgA4BgKMwB0I2VVtXrhh2w9912mSqvqdMX0RN08Y8Qva5HPmxKv8QMi9Gnadp2TNED9IoIdTgwAzqMwA0A3UFBapfk/bdH8JVu0u7JWx43qo+uPGaox/Xv+6rUjY8M1MjbcgZQA4JkozADgxTYVlumJ/2zSh2vyVW+tjh/VR78/et9FGQCwbxRmAPBSi1PzdcPC1TKSLjp4oH57yCDFR4U4HQsAuhwKMwB4GZfL6p9fbtQ/v9yoCQMiNPeiyeodzkV7ANBaFGYA8BIul9Wy7BI9881mfbW+SGdOitM9p49RkL+v09EAoEujMANAF7e7slYv/pCtt1bkKKekUqGBfvrLzFG67NAEGcOd+ACgrSjMANBFWWv10dp8/fWDdBWVVevQIVG64bhhmjE6VsEBnFUGgPZCYQaALmhrcYXuXJSqr9YXaUz/cM275CCNjWPnCwDoCBRmAOhCckoq9ORXm/RWSq4C/Hx0x8kjdekhCfLz9XE6GgB4LQozAHQBlTX1uveTDL22dKt8fIwunDZQVx05WH3Y/QIAOhyFGQA83KbCMl396gptLNyjC6bG69qjhqpvT4oyAHQWCjMAeLB3V+bq9ndTFezvq5cvm6LDh8Y4HQkAuh0KMwB4oLp6l+7+KEMv/pitKYN66V+zJrL8AgAccsCrRIwx84wxhcaY1EZjvYwxnxtjNro/RzZ67lZjzCZjzHpjzAkdFRwAvNXO8hpd8sIyvfhjtmYfNkiv/W4qZRkAHNScy6pflDRjr7FbJH1prR0q6Uv31zLGjJJ0nqTR7mOeMsawGSgANFN6XqlOffIHLc/aqYfOHq+/zBzFDhgA4LAD/hS21n4rqWSv4VMlveR+/JKk0xqNv26trbbWZknaJGlK+0QFAO9VWVOv+z5Zp1Oe+F6VtfV6/YppOmtynNOxAABq/RrmPtbafEmy1uYbY3q7x/tLWtLodbnuMQDAfnyzoUh3vLdWOSWVOjdpgG49aYQiQgKcjgUAcGvvi/7MPsbsPl9ozBxJcyQpPj6+nWMAgOcrKqvW3z9M16LVeUqM6aHX50zTtMQop2MBAPbS2sJcYIyJdZ9djpVU6B7PlTSg0eviJOXt6w2stXMlzZWkpKSkfZZqAPBGLpfVwuQc3fvJOlXW1Ov6Y4bq6qMGK9CPSz4AwBO1tjAvknSJpPvcn99vNP6aMeYRSf0kDZW0rK0hAcBbLMsq0d0fpWtN7m5NGdRL/zh9rIb0DnU6FgCgCQcszMaYBZKOlBRtjMmVdKcaivJCY8xsSVslnS1J1to0Y8xCSemS6iRdY62t76DsAOCRqmrr9Xl6gd5duU17quoUFxmsuF4h2lhQpk9Styu2Z5AePXe8Th3fXz4++1rJBgDwJMZa51dDJCUl2eTkZKdjAECb1NS5dN8n6/RWSo5Kq+rUr2eQ4iJDlLuzQvmlVQry89WVRwzWnOmJCg5g+QUAOMEYk2KtTWrJMdzpDwDayb+/3qx5P2TpN+P76dykATpkcNQvZ5Br6lxyWasgf4oyAHQ1FGYAaAebCvfoya82aea4WP1r1sRfPR/gx81HAKCr4ic4ALSRy2V12ztrFRzgqzt/M9rpOACAdkZhBoA2en15jpZll+j2k0YqJizQ6TgAgHZGYQaANsgs2qN7P8nQtMReOjuJW1kDgDdiDTMAtFBlTb0Wp+XrzeRc/bi5WMH+vvrH6WNlDFvEAYA3ojADQAssTt2uuxalaXtplQb0CtYfjx2ms5Li1D8i2OloAIAOQmEGgGbI21WpOxel6fP0Ao3oG6aHzxmvgxOjuPEIAHQDFGYAOICM/FKd8/RPqnW5dOuJI3TZYYPk78slIADQXVCYAaAJRWXV+t1LyQoJ9NXCKw7TwKgeTkcCAHQyCjMA7EdVbb2umJ+s4vJqvXnFIZRlAOimKMwAsA/WWt36zlqt2LpL/75gksbG9XQ6EgDAISzCA4B9eOnHbL27cptuOn6YThwb63QcAICDKMwAsJctxeW6b/E6HTU8RtccNcTpOAAAh1GYAaARl8vqz2+tkb+vj+49Yxw3IwEAUJgBoLFXlm7R0qwS/eXkUerbM8jpOAAAD0BhBgC3nJIK3ffJOk0fFqOzk+KcjgMA8BAUZgCQVF1Xrz+8sUo+xui+M8ayFAMA8Au2lQPQ7f28hVzKlp164vyJ6hcR7HQkAIAH4QwzgG7vmW8z9c6KbfrDsUM1c1w/p+MAADwMhRlAt/Zp2nbdv3idZo6L1fXHDHU6DgDAA1GYAXRbOSUVuuGNVRrXv6ceOns865YBAPtEYQbQLVlrdcd7qbKSnrxgkoL8fZ2OBADwUBRmAN3SotV5+mZDkW46frjiIkOcjgMA8GAUZgDdzs7yGv3tg3SNHxChSw5JcDoOAMDDsa0cgG7nno8ztLuyVq+cMVa+PqxbBgA0jTPMALqVr9cX6q2UXM2ZnqiRseFOxwEAdAEUZgDdRv7uSt2wcLWG9wnTdWwhBwBoJgozgG6htt6l6xasVHVtvZ66kF0xAADNxxpmAN3CQ5+t1/LsnfrneRM0OCbU6TgAgC6EM8wAvN7n6QV65ptMXTgtXqdO6O90HABAF0NhBuDVUraU6LoFKzW2f0/dcfIop+MAALogCjMAr5WeV6pLX1iuvj2DNO/Sg1i3DABoFQozAK+UtaNcF89bqtBAP82fPUUxYYFORwIAdFEUZgBep7KmXhfPWyqXlebPnsqtrwEAbcIuGQC8zrPfZSqnpFKvz5mmIb3ZEQMA0DacYQbgVQpLq/T0N5s1Y3RfTUuMcjoOAMALUJgBeJVHPt+gmjqXbjlxhNNRAABegsIMwGus216qhck5uujggUqI7uF0HACAl6AwA/Aa//h4nUID/XT9MUOdjgIA8CIUZgBe4ZsNRfp2Q5GuO2aoIkICnI4DAPAiFGYAXV69y+ofH2UovleILjp4oNNxAABehsIMoMtbmJyj9QVluuXEEQr0425+AID21ep9mI0xwyW90WgoUdL/SYqQdLmkIvf4bdbaj1v7fQCgKeXVdXr4sw2aPDBSJ47p63QcAIAXanVhttaulzRBkowxvpK2SXpX0m8lPWqtfag9AgJAU575ZrN27KnW3IsnyxjjdBwAgBdqryUZx0jabK3d0k7vBwAHlL+7UnO/y9TMcbGaFB/pdBwAgJdqr8J8nqQFjb6+1hizxhgzzxjDv2IA2p21Vn//MF0ul3TzDG5SAgDoOG0uzMaYAEmnSHrTPfRvSYPVsFwjX9LD+zlujjEm2RiTXFRUtK+XAMB+LUzO0cdrt+v6Y4dqQK8Qp+MAALxYe5xhPlHSCmttgSRZawustfXWWpekZyVN2ddB1tq51toka21STExMO8QA0F1sKtyjuxal6+DEKF15xGCn4wAAvFx7FOZZarQcwxgT2+i50yWltsP3AABJUnVdva5bsFJB/j569NwJ8vXhQj8AQMdq9S4ZkmSMCZF0nKQrGg0/YIyZIMlKyt7rOQBokwcXr1d6fqnmXjRZfXsGOR0HANANtKkwW2srJEXtNXZRmxIBwH4sySzWc99n6cJp8Tp+NHsuAwA6B3f6A9AlVNbU6+a31yi+V4huO2mk03EAAN1Im84wA0BnefDT9dpSXKEFl09TSAA/ugAAnYczzAA8XnJ2iV74MUsXHzxQBw+OOvABAAC0IwozAI9WWVOvP7+1Rv0jgrlBCQDAEfxeE4BHu2tRmrKKy/Xq7KnqEciPLABA5+MMMwCP9VZKrt5IztE1Rw7RIUOinY4DAOimKMwAPNL67WW64721mpbYS384dqjTcQAA3RiFGYDHKa+u09Wvpig00F+PnzdRfr78qAIAOId/hQB4lLKqWl0xP0VZO8r1+HkT1Ducu/kBAJzFFTQAPMb23VW69IVl2lS4R/efOY51ywAAj0BhBuAR1m8v06UvLFNpZa3mXXqQpg+LcToSAACSKMwAPEDqtt264LmlCvTz0cIrD9bofj2djgQAwC8ozAAc9XNZDg300+tzpmlArxCnIwEA8D+46A+AY9LyduvC55eqR4CvFlxOWQYAeCYKMwBHpOeV6oLnlirY31evzzlY8VGUZQCAZ6IwA+h0GfmluuC5Je6yPI2yDADwaBRmAJ1q3fZS9wV+DcswBkb1cDoSAABNojAD6DRpebt1wbNL5e9rtGDONCVEU5YBAJ6Pwgygw1lr9fqyrTrjqR/l7+uj1+ccrEGUZQBAF8G2cgA6VEVNne54N1XvrNymw4ZE67HzJig6NNDpWAAANBuFGUCHWZ2zS39cuEpZO8r1x2OH6dqjh8jXxzgdCwCAFqEwA2h3tfUuPfnVJv3rP5vUOyxQr86eqkOGRDsdCwCAVqEwA2hXP20u1r2fZGhN7m6dPrG/7jpltHoG+zsdCwCAVqMwA2gXSzKL9ejnG7Q0q0S9wwL15PmTdPK4WKdjAQDQZhRmAG2yNLNYj32xUT9lFismLFB3/maUZk2JV5C/r9PRAABoFxRmAK2yJneX7vtknX7cXKzo0ED9ZeYoXTCVogwA8D4UZgAt9vqyrfrL+6nqGeyvO04eqQumDlRwAEUZAOCdKMwAmq223qV7PsrQiz9m6/Ch0Xpi1iT1DOGCPgCAd6MwA2iW9LxS/fWDNC3NKtHvDhukW04cIT9fbhYKAPB+FGYATcrIL9U/v9ioxWnbFRbkp4fPHq8zJ8c5HQsAgE5DYQawT/m7K/XA4vV6d+U2hQX66bpjhmr2YYPYUxkA0O1QmAH8j/LqOj3zzWbN/S5TLitddeRgXTE9UREhAU5HAwDAERRmAJIkl8vq7RW5evDT9Sosq9bMcbG6ecYIDegV4nQ0AAAcRWEGurk91XVanl2ihz9br9RtpRo/IEL/vnCSJg/s5XQ0AAA8AoUZ6IaSs0v04o/ZSt22W9nFFZKk2J5BeuzcCTplfD/5+BiHEwIA4DkozEA3klNSofsWr9NHa/IV1SNAByX00hmT4jQqNlyHDonm5iMAAOwDhRnoBsqqavXkV5s174cs+Rjp+mOG6oojEhUSwI8AAAAOhH8tAS9W77J6Y3mOHvl8vXbsqdEZE/vrTzOGK7ZnsNPRAADoMijMgJdasXWnbn83VRn5pUoaGKnnLzlI4wdEOB0LAIAuh8IMeJnSqlo9uHi9Xlm6RX3CgvTE+RN18thYGcOFfAAAtAaFGfASZVW1emN5juZ+m6miPdW65OAE3XTCcIUG8tccAIC24F9SoIsrKK3SM99kamFyjvZU1+mghEg9e3ESyy8AAGgnFGagC0vZUqIr5q/QrooazRwXq8sOG6RxcRFOxwIAwKu0qTAbY7IllUmql1RnrU0yxvSS9IakBEnZks6x1u5sW0wAe1u4PEe3v7dW/SOCteDywzW0T5jTkQAA8Eo+7fAeR1lrJ1hrk9xf3yLpS2vtUElfur8G0E6stbr7w3T9+e01mpYYpfevOYyyDABAB2qPwry3UyW95H78kqTTOuB7AN3WfYvX6bnvs3TpIQl64dKD1DPE3+lIAAB4tbYWZivpM2NMijFmjnusj7U2X5Lcn3u38XsAcHvq60165ptMXTRtoO78zSj5+XbEf/MCAIDG2nrR36HW2jxjTG9Jnxtj1jX3QHfBniNJ8fHxbYwBeL/5S7bogcXrddqEfvrrKaPZVxkAgE7SptNT1to89+dCSe9KmiKpwBgTK0nuz4X7OXautTbJWpsUExPTlhiAV6t3WT32xQb93/upOnZkbz149nj5+FCWAQDoLK0uzMaYHsaYsJ8fSzpeUqqkRZIucb/sEknvtzUk0F0VlVXrknnL9NgXG3XahP564vxJ8mcZBgAAnaotSzL6SHrX/WthP0mvWWsXG2OWS1pojJktaauks9seE+h+lmeX6JpXV2h3Za3uP3OszkkawDIMAAAc0OrCbK3NlDR+H+PFko5pSyigu3tt6VbduShVcZEheumyKRoZG+50JAAAui3u9Ad4kNp6l/72QbrmL9miI4bF6PFZE9UzmG3jAABwEoUZ8BCFpVX6/YKVWppVojnTE3XzjBHy5eI+AAAcR2EGPMAPm3bo+tdXaU91rR49d7xOnxjndCQAAOBGYQYc5HJZ/es/m/TYlxs0OCZUr10+VcO4zTUAAB6Fwgw4pKq2Xje9uVofrsnX6RP76+7TxqhHIH8lAQDwNPzrDDhgV0WN5sxP0bKsEt164gjNmZ7IlnEAAHgoCjPQierqXVqevVN/eT9VW4sr9PisiTplfD+nYwEAgCZQmIFOsCyrRG8m5+jLdYUqKa9Rz2B/vTx7iqYlRjkdDQAAHACFGehAJeU1uvujdL2zYpvCgvx09IjeOmF0Xx0xLIb1ygAAdBH8iw10gMqaei1avU33fbJOZVV1uvaoIbr26CEK8vd1OhoAAGghCjPQTgpLq/Ttxh36NG27vttYpKpalyYPjNS9Z4xlqzgAALowCjPQCrX1LmUWlSstb7eSt+zUksxiZRaVS5L69QzSeQfF6/hRfTQtMUo+3K0PAIAujcIMHMCe6jqtyy9Ven6p0rY1fF5fUKaaOpckKTTQT1MG9dKsg+J18OAoje4XzhZxAAB4EQoz4GatVWFZtdLzGkpxel6p0vJ2K7u44pfXRIb4a3S/nrr0kASN7heuUbHhGhTdQ36+Pg4mBwAAHYnCjG6tps6lJZnF+jRtu77MKNT20qpfnhsYFaJRseE6c1KcRvUL1+h+PdUnPJCzxwAAdDMUZnQb5dV1+nZDkVbl7FLuzkrl7KxQZlG59lTXKdjfV0cOj9HUQb00ql9PjYgNU3iQv9ORAQCAB6Aww6sV76nWlxmFDTtXbNqhmjqXAnx9FBcZrP6RwTp9Yn8dMSxGhw2NZss3AACwTxRmeBWXy2pDYZm+37hDn6UXKDm7RC4r9Y8I1gVT43X8qL46KCGSNccAAKDZKMzo8ipq6rQ4dbs+Ty/Q0qwSlZTXSJJG9A3TtUcN0fGj+7JzBQAAaDUKM7oka61StuzUm8m5+mhtvvZU1ym2Z5COGt5b0xJ76eDBUYqLDHE6JgAA8AIUZnQpebsq9e7KbXorJVdZO8oVEuCrk8fG6qzJcZoyqBdnkQEAQLujMMPjZe0o16dp2/VZ2natzNkla6Wpg3rpmqOG6MQxfdUjkGkMAAA6Dk0DHsdaq9RtpQ0lOX27NhTskSSN6R+uG44dplMn9Fd8FMstAABA56Aww2PklFTo7RW5entFrnJKKuXrYzQloZfu/E28jh/dV/0jgp2OCAAAuiEKMxxTW+/SmtxdWpJZom82FGlZVomMkQ4dHK3rjh6qY0f2UWSPAKdjAgCAbo7CjE5TV+/Smm27tSSzWD9tLlbKlp2qqKmX1LAF3I3HDdMZk+M4kwwAADwKhRkdqqKm4XbUn6YV6MuMApVW1UmShvUJ1VmT43RwYpSmDOqlqNBAh5MCAADsG4UZ7aau3qW0vFIlb9mp9LxSpeeXamNBmepcVhEh/jpuVF8dNSJG0xKjFE1BBgAAXQSFGa1WWFaltLxSpeeVKmXLTi3PKlFZdcMZ5JiwQI3uF66jhsfosKHRmpLQi9tRAwCALonCjCZZa7Wrola5OyuVVVyujPzSX0ryjj3Vv7wuMbqHfjOhn6YlRmnqoF7qEx7kYGoAAID2Q2GGquvqtTpnt37aXKzl2SUqLq9RTV29qutc2lleo3L3hXmS5O9rNLR3mI4cHqPR/cI1KjZcI2LD1TPY38E/AQAAQMehMHcjdfUupeaVaklmsTLyS7V9d5UKSquUt6tKNfUuGSON7BuuuMhgBfr5KNDPV2FBfhrQK0RxkcGK7xWiwTGhCvBjaQUAAOg+KMxepLSqVoWl1aqsqVdFTZ3Kquq0paRC2TvKlbWjXKtydmmPe41x/4hg9YsI0ti4CJ0wJkiT4yM1ZVAvRYSw7zEAAEBjFGYPZa1VdZ1LZVV1Kq+u067KWhWWVqmgrFpFpVXaXVmr0qo67a6s1fbdVcrdWfHLlm17Cwvy06DoHjplQj8dnBilaYlRigljlwoAAIDmoDB3oNp6l/J2VSp3Z6XKqupUVVuvqtp6FZfXaNuuSm3bWakde6pV77KSpHqXVUVNvfZUN5TkOvf43oyRwoP8FR7sp7BAf/UJD9TkgZEa0CtYfcKDFBLgp5AAX4UGNiyniAzxlzGmM//oAAAAXoPCvB+19S4VllVr++5KlVbVyVora6WaOpeK9lSroLRKhaXVqqipV7X7ArnqWtcvj8uq6pS/u1L76byK6hGgfhENBdfXx8jHSEZGIYG+Cgv0U49AP4UG+f3yODzIX33Cg9QnPFBRoYHy9aEAAwAAdAavKcz1LqvtpVXKLalQQVm19lTVqayqVuU19fIxkr+vj3x9jGrqXCqvrlNZdZ32uJc7lLnP6FbW1quqpl6VtfXaVVkru5+yK0m+PkbRoQEKDfRToJ+vAv19FOjno4iQAAX6+ahHoJ8GRAYrrleIBkSGqGewv4L8fRQc4KuI4AAFB/h23v84AAAAaDWPKswul9WO8mrl7apS3q5K5e1qWMrgsvaX5QoFpVXaXlqlorJq1dVbuayVy0q7Kmr2u4Rhb0H+PgoN9FdooK9Cg/wUGuinvuFBCg7wVZC/r4L9fdWrR4D69gxS355B6hnsLx/TcBbYz8dH0WEBiurBWV4AAIDuwCMKc2ZRuY548Cvlu7c325sxkp+PUaCfr/qEB6pvzyAdlNBLgX4+aliaaxQZ4q+4yIbtz/r2DFJ4kL/CghrW8lor1bms6lwu+fv6yJ87zgEAAKCZPKIwW1mNj4vQiWMatjrr1zNY/dzbnoUH+cunjWdyjZECfIwCRFEGAABAy3hEYR4cE6rHZ010OgYAAADwK5xyBQAAAJpAYQYAAACaQGEGAAAAmtDqwmyMGWCM+coYk2GMSTPGXO8ev8sYs80Ys8r9cVL7xQUAAAA6V1su+quTdKO1doUxJkxSijHmc/dzj1prH2p7PAAAAMBZrS7M1tp8Sfnux2XGmAxJ/dsrGAAAAOAJ2mUNszEmQdJESUvdQ9caY9YYY+YZYyL3c8wcY0yyMSa5qKioPWIAAAAA7a7NhdkYEyrpbUl/sNaWSvq3pMGSJqjhDPTD+zrOWjvXWptkrU2KiYlpawwAAACgQ7SpMBtj/NVQll+11r4jSdbaAmttvbXWJelZSVPaHhMAAABwRlt2yTCSnpeUYa19pNF4bKOXnS4ptfXxAAAAAGe1ZZeMQyVdJGmtMWaVe+w2SbOMMRMkWUnZkq5ow/cAAAAAHNWWXTK+l2T28dTHrY8DAAAAeBbu9AcAAAA0gcIMAAAANIHCDAAAADSBwgwAAAA0gcIMAAAANIHCDAAAADTBWGudziBjTJmk9U7n8BA9Je12OoQHiJa0w+kQHoD58F/MiQbMiQbMhwbMh/9iTjRgTjRoaj4MtNbGtOTN2nLjkva03lqb5HQIT2CMmWutneN0DqcZY5KZE8yHxpgTDZgTDZgPDZgP/8WcaMCcaNDe84ElGZ7nA6cDwKMwH7A35gQaYz5gb8yJDkBh9jDWWiY6fsF8wN6YE2iM+YC9MSc6hqcU5rlOB4DHYU5gb8wJNMZ8wN6YE2isXeeDR1z0BwAAAHgqTznDDAAAAHikDivMxph5xphCY0xqo7HxxpifjDFrjTEfGGPC3eMJxphKY8wq98fTjY451xizxhiTZox5oKPyomO1ZD64nxvnfi7N/XyQe5z54CVa+DPigkY/H1YZY1zGmAnu55gTXqCF88HfGPOSezzDGHNro2OYD16ihXMiwBjzgnt8tTHmyEbHMCe8gDFmgDHmK/ff+TRjzPXu8V7GmM+NMRvdnyMbHXOrMWaTMWa9MeaERuMtnxPW2g75kDRd0iRJqY3Glks6wv34Mkl/dz9OaPy6Rq+PkrRVUoz765ckHdNRmfnouI8Wzgc/SWskjW80D3yZD9710ZI5sddxYyVlNpobzAkv+Gjhz4jzJb3ufhwiKdv97wjzwYs+WjgnrpH0gvtxb0kpajgpyJzwkg9JsZImuR+HSdogaZSkByTd4h6/RdL97sejJK2WFChpkKTNbekSHXaG2Vr7raSSvYaHS/rW/fhzSWce4G0SJW2w1ha5v/6iGcfAA7VwPhwvaY21drX72GJrbb2YD16lDT8jZkla4H7MnPASLZwPVlIPY4yfpGBJNZJKxXzwKi2cE6Mkfek+rlDSLklJYk54DWttvrV2hftxmaQMSf0lnaqG0iv359Pcj09Vw39YV1trsyRtkjRFrZwTnb2GOVXSKe7HZ0sa0Oi5QcaYlcaYb4wxh7vHNkka4V6y4aeG/xEaH4OubX/zYZgka4z51BizwhjzZ/c488H7NfUz4mfn6r+FmTnh3fY3H96SVC4pXw1nih6y1paI+dAd7G9OrJZ0qjHGzxgzSNJk93PMCS9kjEmQNFHSUkl9rLX5UkOpVsNvGKSGMp3T6LBc91ir5kRnF+bLJF1jjElRw+n0Gvd4vqR4a+1ESTdIes0YE26t3SnpKklvSPpODb92q+vkzOg4+5sPfpIOk3SB+/PpxphjmA/dwv7mhCTJGDNVUoW1NlWSmBNeb3/zYYqkekn91PCr1huNMYnMh25hf3NinhoKUbKkxyT9KKmOOeF9jDGhkt6W9AdrbWlTL93HmG3tnOjUW2Nba9ep4dftMsYMk3Sye7xaUrX7cYoxZrMazjIm24YNuD9wHzNHDT8k4QX2Nx/U8EPvG2vtDvdzH6thHduXzAfv1sSc+Nl5+u/Z5Z+PYU54qSbmw/mSFltrayUVGmN+UMOv3zOZD96tiR5RJ+mPP7/OGPOjpI3u55gTXsIY46+GsvyqtfYd93CBMSbWWptvjImVVOgez9X/njmOk5QntW5OdOoZZmNMb/dnH0l3SHra/XWMMcbX/ThR0lBJmXsdEynpaknPdWZmdJz9zQdJn0oaZ4wJcf+65AhJ6Xsdw3zwQk3MiZ/Hzpb0+n6OYU54mSbmw1ZJR5sGPSRNk7Rur2OYD16oiR4R4p4LMsYcp4azy/y74UWMMUbS85IyrLWPNHpqkaRL3I8vkfR+o/HzjDGB7mU6QyUtc79Xi+dEh51hNsYskHSkpGhjTK6kOyWFGmOucb/kHUkvuB9Pl/Q3Y0ydGlr+le71aJL0T2PMePfjv1lrN3RUZnSclswHa+1OY8wjarga2kr62Fr7kft1zAcv0cKfEVLDz4lca23mXm/FnPACLZwPT7ofp6rh164vWGvXuJ9jPniJFs6J3pI+Nca4JG2TdFGjt2JOeIdD1fD/61pjzCr32G2S7pO00BgzWw3/MX22JFlr04wxC9Vwwq1O0jXuDQSkVswJ7vQHAAAANIE7/QEAAABNoDADAAAATaAwAwAAAE2gMAMAAABNoDADAAAATaAwAwAAAE2gMAMAAABNoDADAAAATfh/KzmIm7KdLFIAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "ax = cpi.plot(ax=ax);\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "P-value of the unit-root test, resoundingly rejects the null of a unit-root." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:03.842689Z", "iopub.status.busy": "2021-02-02T06:53:03.840856Z", "iopub.status.idle": "2021-02-02T06:53:03.866776Z", "shell.execute_reply": "2021-02-02T06:53:03.867822Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9904328188337421\n" ] } ], "source": [ "print(sm.tsa.adfuller(cpi)[1])" ] } ], "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 1 }