{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dates in timeseries models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "execution": {
 
 
 
 
    },
    "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": {
    "collapsed": false,
    "execution": {
 
 
 
 
    },
    "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": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "from datetime import datetime\n",
    "\n",
    "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": {
 
 
 
 
    },
    "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": {
 
 
 
 
    },
    "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": {
    "collapsed": false,
    "execution": {
 
 
 
 
    },
    "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": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "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": "3.13.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
