{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dates in timeseries models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:57.220047Z", "iopub.status.busy": "2022-11-02T17:10:57.219753Z", "iopub.status.idle": "2022-11-02T17:10:58.422109Z", "shell.execute_reply": "2022-11-02T17:10:58.421367Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import statsmodels.api as sm\n", "from statsmodels.tsa.ar_model import AutoReg, 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": { "execution": { "iopub.execute_input": "2022-11-02T17:10:58.426272Z", "iopub.status.busy": "2022-11-02T17:10:58.425620Z", "iopub.status.idle": "2022-11-02T17:10:58.432433Z", "shell.execute_reply": "2022-11-02T17:10:58.431892Z" }, "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": { "execution": { "iopub.execute_input": "2022-11-02T17:10:58.435588Z", "iopub.status.busy": "2022-11-02T17:10:58.435348Z", "iopub.status.idle": "2022-11-02T17:10:58.441750Z", "shell.execute_reply": "2022-11-02T17:10:58.441214Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "from datetime import datetime\n", "\n", "dates = pd.date_range(\"1700-1-1\", periods=len(data.endog), freq=\"A-DEC\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Pandas\n", "\n", "Make a pandas TimeSeries or DataFrame" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:58.446038Z", "iopub.status.busy": "2022-11-02T17:10:58.444903Z", "iopub.status.idle": "2022-11-02T17:10:58.458712Z", "shell.execute_reply": "2022-11-02T17:10:58.458174Z" }, "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: A-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": { "execution": { "iopub.execute_input": "2022-11-02T17:10:58.463188Z", "iopub.status.busy": "2022-11-02T17:10:58.462073Z", "iopub.status.idle": "2022-11-02T17:10:58.479847Z", "shell.execute_reply": "2022-11-02T17:10:58.479274Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "selection_res = ar_select_order(endog, 9, old_names=False, 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": { "execution": { "iopub.execute_input": "2022-11-02T17:10:58.484603Z", "iopub.status.busy": "2022-11-02T17:10:58.483485Z", "iopub.status.idle": "2022-11-02T17:10:58.503565Z", "shell.execute_reply": "2022-11-02T17:10:58.503004Z" }, "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: A-DEC, dtype: float64\n" ] } ], "source": [ "pred = pandas_ar_res.predict(start=\"2005\", end=\"2027\")\n", "print(pred)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:58.507968Z", "iopub.status.busy": "2022-11-02T17:10:58.506856Z", "iopub.status.idle": "2022-11-02T17:10:58.794683Z", "shell.execute_reply": "2022-11-02T17:10:58.793971Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = pandas_ar_res.plot_predict(start=\"2005\", end=\"2027\")" ] } ], "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }