{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Artificial data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:47:58.019778Z", "iopub.status.busy": "2026-07-28T18:47:58.019134Z", "iopub.status.idle": "2026-07-28T18:47:58.658754Z", "shell.execute_reply": "2026-07-28T18:47:58.656881Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:47:58.661401Z", "iopub.status.busy": "2026-07-28T18:47:58.661023Z", "iopub.status.idle": "2026-07-28T18:47:59.964416Z", "shell.execute_reply": "2026-07-28T18:47:59.963596Z" } }, "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.model import ARIMA\n", "from statsmodels.tsa.arima_process import arma_generate_sample\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": { "iopub.execute_input": "2026-07-28T18:47:59.968372Z", "iopub.status.busy": "2026-07-28T18:47:59.968076Z", "iopub.status.idle": "2026-07-28T18:47:59.974407Z", "shell.execute_reply": "2026-07-28T18:47:59.973570Z" } }, "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": { "iopub.execute_input": "2026-07-28T18:47:59.977183Z", "iopub.status.busy": "2026-07-28T18:47:59.976995Z", "iopub.status.idle": "2026-07-28T18:47:59.982079Z", "shell.execute_reply": "2026-07-28T18:47:59.980750Z" } }, "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": { "iopub.execute_input": "2026-07-28T18:47:59.985154Z", "iopub.status.busy": "2026-07-28T18:47:59.984008Z", "iopub.status.idle": "2026-07-28T18:48:00.709247Z", "shell.execute_reply": "2026-07-28T18:48:00.705818Z" } }, "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": { "iopub.execute_input": "2026-07-28T18:48:00.714153Z", "iopub.status.busy": "2026-07-28T18:48:00.713869Z", "iopub.status.idle": "2026-07-28T18:48:00.747670Z", "shell.execute_reply": "2026-07-28T18:48:00.746752Z" } }, "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: Tue, 28 Jul 2026 AIC 716.891\n", "Time: 18:48:00 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": { "iopub.execute_input": "2026-07-28T18:48:00.749575Z", "iopub.status.busy": "2026-07-28T18:48:00.749372Z", "iopub.status.idle": "2026-07-28T18:48:00.764017Z", "shell.execute_reply": "2026-07-28T18:48:00.760441Z" } }, "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": { "iopub.execute_input": "2026-07-28T18:48:00.765941Z", "iopub.status.busy": "2026-07-28T18:48:00.765750Z", "iopub.status.idle": "2026-07-28T18:48:01.042039Z", "shell.execute_reply": "2026-07-28T18:48:01.040959Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }