{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Artificial data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-29T17:22:59.455201Z", "iopub.status.busy": "2026-07-29T17:22:59.454926Z", "iopub.status.idle": "2026-07-29T17:23:00.175127Z", "shell.execute_reply": "2026-07-29T17:23:00.174060Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-29T17:23:00.178396Z", "iopub.status.busy": "2026-07-29T17:23:00.177969Z", "iopub.status.idle": "2026-07-29T17:23:01.766188Z", "shell.execute_reply": "2026-07-29T17:23:01.765551Z" } }, "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": "2026-07-29T17:23:01.769613Z", "iopub.status.busy": "2026-07-29T17:23:01.769185Z", "iopub.status.idle": "2026-07-29T17:23:01.773947Z", "shell.execute_reply": "2026-07-29T17:23:01.773225Z" } }, "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": "2026-07-29T17:23:01.776382Z", "iopub.status.busy": "2026-07-29T17:23:01.776135Z", "iopub.status.idle": "2026-07-29T17:23:01.780839Z", "shell.execute_reply": "2026-07-29T17:23:01.779853Z" } }, "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": "2026-07-29T17:23:01.782856Z", "iopub.status.busy": "2026-07-29T17:23:01.782463Z", "iopub.status.idle": "2026-07-29T17:23:02.271007Z", "shell.execute_reply": "2026-07-29T17:23:02.270365Z" } }, "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": "2026-07-29T17:23:02.276495Z", "iopub.status.busy": "2026-07-29T17:23:02.273898Z", "iopub.status.idle": "2026-07-29T17:23:02.309630Z", "shell.execute_reply": "2026-07-29T17:23:02.308807Z" } }, "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: Wed, 29 Jul 2026 AIC 716.891\n", "Time: 17:23:02 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": "2026-07-29T17:23:02.311915Z", "iopub.status.busy": "2026-07-29T17:23:02.311703Z", "iopub.status.idle": "2026-07-29T17:23:02.324810Z", "shell.execute_reply": "2026-07-29T17:23:02.323963Z" } }, "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": "2026-07-29T17:23:02.329288Z", "iopub.status.busy": "2026-07-29T17:23:02.329045Z", "iopub.status.idle": "2026-07-29T17:23:02.659197Z", "shell.execute_reply": "2026-07-29T17:23:02.657760Z" } }, "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 }