{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Artificial data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from statsmodels.graphics.tsaplots import plot_predict\n",
    "from statsmodels.tsa.arima_process import arma_generate_sample\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "\n",
    "np.random.seed(12345)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate some data from an ARMA process:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "arparams = np.array([0.75, -0.25])\n",
    "maparams = np.array([0.65, 0.35])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The conventions of the arma_generate function require that we specify a 1 for the zero-lag of the AR and MA parameters and that the AR parameters be negated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "arparams = np.r_[1, -arparams]\n",
    "maparams = np.r_[1, maparams]\n",
    "nobs = 250\n",
    "y = arma_generate_sample(arparams, maparams, nobs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Now, optionally, we can add some dates information. For this example, we'll use a pandas time series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "dates = pd.date_range(\"1980-1-1\", freq=\"ME\", periods=nobs)\n",
    "y = pd.Series(y, index=dates)\n",
    "arma_mod = ARIMA(y, order=(2, 0, 2), trend=\"n\")\n",
    "arma_res = arma_mod.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                               SARIMAX Results                                \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   No. Observations:                  250\n",
      "Model:                 ARIMA(2, 0, 2)   Log Likelihood                -353.445\n",
      "Date:                Fri, 20 Mar 2026   AIC                            716.891\n",
      "Time:                        11:18:46   BIC                            734.498\n",
      "Sample:                    01-31-1980   HQIC                           723.977\n",
      "                         - 10-31-2000                                         \n",
      "Covariance Type:                  opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1          0.7905      0.142      5.566      0.000       0.512       1.069\n",
      "ar.L2         -0.2314      0.124     -1.859      0.063      -0.475       0.013\n",
      "ma.L1          0.7007      0.131      5.344      0.000       0.444       0.958\n",
      "ma.L2          0.4061      0.097      4.177      0.000       0.216       0.597\n",
      "sigma2         0.9801      0.093     10.514      0.000       0.797       1.163\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                   0.00   Jarque-Bera (JB):                 0.29\n",
      "Prob(Q):                              0.96   Prob(JB):                         0.86\n",
      "Heteroskedasticity (H):               0.92   Skew:                             0.02\n",
      "Prob(H) (two-sided):                  0.69   Kurtosis:                         2.84\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "print(arma_res.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2000-06-30    0.173211\n",
       "2000-07-31   -0.048325\n",
       "2000-08-31   -0.415804\n",
       "2000-09-30    0.338725\n",
       "2000-10-31    0.360838\n",
       "Freq: ME, dtype: float64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 8))\n",
    "fig = plot_predict(arma_res, start=\"1999-06-30\", end=\"2001-05-31\", ax=ax)\n",
    "legend = ax.legend(loc=\"upper left\")"
   ]
  }
 ],
 "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": "3.14.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
