{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Artificial data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:16.767186Z", "iopub.status.busy": "2022-11-02T17:07:16.766702Z", "iopub.status.idle": "2022-11-02T17:07:17.279406Z", "shell.execute_reply": "2022-11-02T17:07:17.278739Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:17.285307Z", "iopub.status.busy": "2022-11-02T17:07:17.284079Z", "iopub.status.idle": "2022-11-02T17:07:17.810518Z", "shell.execute_reply": "2022-11-02T17:07:17.809809Z" } }, "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": { "iopub.execute_input": "2022-11-02T17:07:17.816020Z", "iopub.status.busy": "2022-11-02T17:07:17.814844Z", "iopub.status.idle": "2022-11-02T17:07:17.819652Z", "shell.execute_reply": "2022-11-02T17:07:17.819099Z" } }, "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": "2022-11-02T17:07:17.824297Z", "iopub.status.busy": "2022-11-02T17:07:17.823178Z", "iopub.status.idle": "2022-11-02T17:07:17.828258Z", "shell.execute_reply": "2022-11-02T17:07:17.827730Z" } }, "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": "2022-11-02T17:07:17.832824Z", "iopub.status.busy": "2022-11-02T17:07:17.831722Z", "iopub.status.idle": "2022-11-02T17:07:18.035623Z", "shell.execute_reply": "2022-11-02T17:07:18.034918Z" } }, "outputs": [], "source": [ "dates = pd.date_range(\"1980-1-1\", freq=\"M\", 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": "2022-11-02T17:07:18.041135Z", "iopub.status.busy": "2022-11-02T17:07:18.039980Z", "iopub.status.idle": "2022-11-02T17:07:18.070638Z", "shell.execute_reply": "2022-11-02T17:07:18.069971Z" } }, "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, 02 Nov 2022 AIC 716.891\n", "Time: 17:07:18 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": "2022-11-02T17:07:18.075462Z", "iopub.status.busy": "2022-11-02T17:07:18.074323Z", "iopub.status.idle": "2022-11-02T17:07:18.084421Z", "shell.execute_reply": "2022-11-02T17:07:18.083845Z" } }, "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: M, dtype: float64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.tail()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:18.088967Z", "iopub.status.busy": "2022-11-02T17:07:18.087844Z", "iopub.status.idle": "2022-11-02T17:07:18.378883Z", "shell.execute_reply": "2022-11-02T17:07:18.378191Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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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", "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 }