{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dates in timeseries models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:11.820041Z", "iopub.status.busy": "2026-07-29T11:37:11.819509Z", "iopub.status.idle": "2026-07-29T11:37:15.863894Z", "shell.execute_reply": "2026-07-29T11:37:15.862789Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "\n", "import statsmodels.api as sm\n", "from statsmodels.tsa.ar_model import ar_select_order\n", "\n", "plt.rc(\"figure\", figsize=(16, 8))\n", "plt.rc(\"font\", size=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Getting started" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:15.866229Z", "iopub.status.busy": "2026-07-29T11:37:15.865876Z", "iopub.status.idle": "2026-07-29T11:37:15.879668Z", "shell.execute_reply": "2026-07-29T11:37:15.878081Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "data = sm.datasets.sunspots.load()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Right now an annual date series must be datetimes at the end of the year." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:15.882965Z", "iopub.status.busy": "2026-07-29T11:37:15.882680Z", "iopub.status.idle": "2026-07-29T11:37:15.904667Z", "shell.execute_reply": "2026-07-29T11:37:15.900878Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "dates = pd.date_range(\"1700-1-1\", periods=len(data.endog), freq=\"YE-DEC\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Pandas\n", "\n", "Make a pandas TimeSeries or DataFrame" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:15.910200Z", "iopub.status.busy": "2026-07-29T11:37:15.909922Z", "iopub.status.idle": "2026-07-29T11:37:15.933693Z", "shell.execute_reply": "2026-07-29T11:37:15.932589Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "1700-12-31 5.0\n", "1701-12-31 11.0\n", "1702-12-31 16.0\n", "1703-12-31 23.0\n", "1704-12-31 36.0\n", " ... \n", "2004-12-31 40.4\n", "2005-12-31 29.8\n", "2006-12-31 15.2\n", "2007-12-31 7.5\n", "2008-12-31 2.9\n", "Freq: YE-DEC, Name: SUNACTIVITY, Length: 309, dtype: float64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.endog.index = dates\n", "endog = data.endog\n", "endog" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instantiate the model" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:15.938751Z", "iopub.status.busy": "2026-07-29T11:37:15.938458Z", "iopub.status.idle": "2026-07-29T11:37:15.978934Z", "shell.execute_reply": "2026-07-29T11:37:15.977779Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "selection_res = ar_select_order(endog, 9, seasonal=True, period=11)\n", "pandas_ar_res = selection_res.model.fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Out-of-sample prediction" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:15.981637Z", "iopub.status.busy": "2026-07-29T11:37:15.981140Z", "iopub.status.idle": "2026-07-29T11:37:16.044456Z", "shell.execute_reply": "2026-07-29T11:37:16.043448Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2005-12-31 25.907501\n", "2006-12-31 29.024373\n", "2007-12-31 18.855729\n", "2008-12-31 21.392012\n", "2009-12-31 25.695092\n", "2010-12-31 49.981886\n", "2011-12-31 76.437566\n", "2012-12-31 86.244709\n", "2013-12-31 89.184663\n", "2014-12-31 72.251362\n", "2015-12-31 48.447259\n", "2016-12-31 32.292122\n", "2017-12-31 22.374099\n", "2018-12-31 18.581657\n", "2019-12-31 22.935657\n", "2020-12-31 34.513168\n", "2021-12-31 47.828469\n", "2022-12-31 65.487766\n", "2023-12-31 76.551575\n", "2024-12-31 84.185043\n", "2025-12-31 72.029019\n", "2026-12-31 52.603134\n", "2027-12-31 39.330875\n", "Freq: YE-DEC, dtype: float64\n" ] } ], "source": [ "pred = pandas_ar_res.predict(start=\"2005\", end=\"2027\")\n", "print(pred)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-29T11:37:16.047656Z", "iopub.status.busy": "2026-07-29T11:37:16.047402Z", "iopub.status.idle": "2026-07-29T11:37:16.826197Z", "shell.execute_reply": "2026-07-29T11:37:16.825533Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = pandas_ar_res.plot_predict(start=\"2005\", end=\"2027\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }