{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Recursive least squares\n", "\n", "Recursive least squares is an expanding window version of ordinary least squares. In addition to availability of regression coefficients computed recursively, the recursively computed residuals the construction of statistics to investigate parameter instability.\n", "\n", "The `RecursiveLS` class allows computation of recursive residuals and computes CUSUM and CUSUM of squares statistics. Plotting these statistics along with reference lines denoting statistically significant deviations from the null hypothesis of stable parameters allows an easy visual indication of parameter stability.\n", "\n", "Finally, the `RecursiveLS` model allows imposing linear restrictions on the parameter vectors, and can be constructed using the formula interface." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:40.960816Z", "iopub.status.busy": "2024-04-19T16:33:40.960540Z", "iopub.status.idle": "2024-04-19T16:33:44.907926Z", "shell.execute_reply": "2024-04-19T16:33:44.907253Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "from pandas_datareader.data import DataReader\n", "\n", "np.set_printoptions(suppress=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1: Copper\n", "\n", "We first consider parameter stability in the copper dataset (description below)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:44.911639Z", "iopub.status.busy": "2024-04-19T16:33:44.911164Z", "iopub.status.idle": "2024-04-19T16:33:44.938739Z", "shell.execute_reply": "2024-04-19T16:33:44.938141Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This data describes the world copper market from 1951 through 1975. In an\n", "example, in Gill, the outcome variable (of a 2 stage estimation) is the world\n", "consumption of copper for the 25 years. The explanatory variables are the\n", "world consumption of copper in 1000 metric tons, the constant dollar adjusted\n", "price of copper, the price of a substitute, aluminum, an index of real per\n", "capita income base 1970, an annual measure of manufacturer inventory change,\n", "and a time trend.\n", "\n" ] } ], "source": [ "print(sm.datasets.copper.DESCRLONG)\n", "\n", "dta = sm.datasets.copper.load_pandas().data\n", "dta.index = pd.date_range(\"1951-01-01\", \"1975-01-01\", freq=\"YS\")\n", "endog = dta[\"WORLDCONSUMPTION\"]\n", "\n", "# To the regressors in the dataset, we add a column of ones for an intercept\n", "exog = sm.add_constant(\n", " dta[[\"COPPERPRICE\", \"INCOMEINDEX\", \"ALUMPRICE\", \"INVENTORYINDEX\"]]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, construct and fit the model, and print a summary. Although the `RLS` model computes the regression parameters recursively, so there are as many estimates as there are datapoints, the summary table only presents the regression parameters estimated on the entire sample; except for small effects from initialization of the recursions, these estimates are equivalent to OLS estimates." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:44.947178Z", "iopub.status.busy": "2024-04-19T16:33:44.946791Z", "iopub.status.idle": "2024-04-19T16:33:45.004339Z", "shell.execute_reply": "2024-04-19T16:33:45.003553Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -154.720\n", "Date: Fri, 19 Apr 2024 R-squared: 0.965\n", "Time: 16:33:44 AIC 319.441\n", "Sample: 01-01-1951 BIC 325.535\n", " - 01-01-1975 HQIC 321.131\n", "Covariance Type: nonrobust Scale 117717.127\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "const -6562.3719 2378.939 -2.759 0.006 -1.12e+04 -1899.737\n", "COPPERPRICE -13.8132 15.041 -0.918 0.358 -43.292 15.666\n", "INCOMEINDEX 1.21e+04 763.401 15.853 0.000 1.06e+04 1.36e+04\n", "ALUMPRICE 70.4146 32.678 2.155 0.031 6.367 134.462\n", "INVENTORYINDEX 311.7330 2130.084 0.146 0.884 -3863.155 4486.621\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 2.17 Jarque-Bera (JB): 1.70\n", "Prob(Q): 0.14 Prob(JB): 0.43\n", "Heteroskedasticity (H): 3.38 Skew: -0.67\n", "Prob(H) (two-sided): 0.13 Kurtosis: 2.53\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] } ], "source": [ "mod = sm.RecursiveLS(endog, exog)\n", "res = mod.fit()\n", "\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The recursive coefficients are available in the `recursive_coefficients` attribute. Alternatively, plots can generated using the `plot_recursive_coefficient` method." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:45.008004Z", "iopub.status.busy": "2024-04-19T16:33:45.007682Z", "iopub.status.idle": "2024-04-19T16:33:49.530689Z", "shell.execute_reply": "2024-04-19T16:33:49.529711Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2.88890087 4.94795049 1558.41803044 1958.43326658\n", " -51474.9578655 -4168.94974192 -2252.61351128 -446.55908507\n", " -5288.39794736 -6942.31935786 -7846.0890355 -6643.15121393\n", " -6274.11015558 -7272.01696292 -6319.02648554 -5822.23929148\n", " -6256.30902754 -6737.4044603 -6477.42841448 -5995.90746904\n", " -6450.80677813 -6022.92166487 -5258.35152753 -5320.89136363\n", " -6562.37193573]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(res.recursive_coefficients.filtered[0])\n", "res.plot_recursive_coefficient(range(mod.k_exog), alpha=None, figsize=(10, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CUSUM statistic is available in the `cusum` attribute, but usually it is more convenient to visually check for parameter stability using the `plot_cusum` method. In the plot below, the CUSUM statistic does not move outside of the 5% significance bands, so we fail to reject the null hypothesis of stable parameters at the 5% level." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:49.534212Z", "iopub.status.busy": "2024-04-19T16:33:49.533615Z", "iopub.status.idle": "2024-04-19T16:33:50.126871Z", "shell.execute_reply": "2024-04-19T16:33:50.126080Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.69971508 0.65841244 1.24629674 2.05476032 2.39888918 3.1786198\n", " 2.67244672 2.01783215 2.46131747 2.05268638 0.95054336 -1.04505546\n", " -2.55465286 -2.29908152 -1.45289492 -1.95353993 -1.3504662 0.15789829\n", " 0.6328653 -1.48184586]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(res.cusum)\n", "fig = res.plot_cusum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another related statistic is the CUSUM of squares. It is available in the `cusum_squares` attribute, but it is similarly more convenient to check it visually, using the `plot_cusum_squares` method. In the plot below, the CUSUM of squares statistic does not move outside of the 5% significance bands, so we fail to reject the null hypothesis of stable parameters at the 5% level." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:50.130876Z", "iopub.status.busy": "2024-04-19T16:33:50.130559Z", "iopub.status.idle": "2024-04-19T16:33:51.332024Z", "shell.execute_reply": "2024-04-19T16:33:51.331230Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_cusum_squares()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2: Quantity theory of money\n", "\n", "The quantity theory of money suggests that \"a given change in the rate of change in the quantity of money induces ... an equal change in the rate of price inflation\" (Lucas, 1980). Following Lucas, we examine the relationship between double-sided exponentially weighted moving averages of money growth and CPI inflation. Although Lucas found the relationship between these variables to be stable, more recently it appears that the relationship is unstable; see e.g. Sargent and Surico (2010)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:51.338782Z", "iopub.status.busy": "2024-04-19T16:33:51.338514Z", "iopub.status.idle": "2024-04-19T16:33:51.838950Z", "shell.execute_reply": "2024-04-19T16:33:51.838229Z" } }, "outputs": [], "source": [ "start = \"1959-12-01\"\n", "end = \"2015-01-01\"\n", "m2 = DataReader(\"M2SL\", \"fred\", start=start, end=end)\n", "cpi = DataReader(\"CPIAUCSL\", \"fred\", start=start, end=end)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:51.844227Z", "iopub.status.busy": "2024-04-19T16:33:51.842935Z", "iopub.status.idle": "2024-04-19T16:33:51.944866Z", "shell.execute_reply": "2024-04-19T16:33:51.943939Z" } }, "outputs": [], "source": [ "def ewma(series, beta, n_window):\n", " nobs = len(series)\n", " scalar = (1 - beta) / (1 + beta)\n", " ma = []\n", " k = np.arange(n_window, 0, -1)\n", " weights = np.r_[beta ** k, 1, beta ** k[::-1]]\n", " for t in range(n_window, nobs - n_window):\n", " window = series.iloc[t - n_window : t + n_window + 1].values\n", " ma.append(scalar * np.sum(weights * window))\n", " return pd.Series(ma, name=series.name, index=series.iloc[n_window:-n_window].index)\n", "\n", "\n", "m2_ewma = ewma(np.log(m2[\"M2SL\"].resample(\"QS\").mean()).diff().iloc[1:], 0.95, 10 * 4)\n", "cpi_ewma = ewma(\n", " np.log(cpi[\"CPIAUCSL\"].resample(\"QS\").mean()).diff().iloc[1:], 0.95, 10 * 4\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After constructing the moving averages using the $\\beta = 0.95$ filter of Lucas (with a window of 10 years on either side), we plot each of the series below. Although they appear to move together prior for part of the sample, after 1990 they appear to diverge." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:51.949008Z", "iopub.status.busy": "2024-04-19T16:33:51.948482Z", "iopub.status.idle": "2024-04-19T16:33:52.664250Z", "shell.execute_reply": "2024-04-19T16:33:52.663523Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(13, 3))\n", "\n", "ax.plot(m2_ewma, label=\"M2 Growth (EWMA)\")\n", "ax.plot(cpi_ewma, label=\"CPI Inflation (EWMA)\")\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:52.667880Z", "iopub.status.busy": "2024-04-19T16:33:52.667357Z", "iopub.status.idle": "2024-04-19T16:33:52.740713Z", "shell.execute_reply": "2024-04-19T16:33:52.740047Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: CPIAUCSL No. Observations: 141\n", "Model: RecursiveLS Log Likelihood 692.878\n", "Date: Fri, 19 Apr 2024 R-squared: 0.813\n", "Time: 16:33:52 AIC -1381.755\n", "Sample: 01-01-1970 BIC -1375.858\n", " - 01-01-2005 HQIC -1379.358\n", "Covariance Type: nonrobust Scale 0.000\n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0034 0.001 -6.013 0.000 -0.004 -0.002\n", "M2 0.9128 0.037 24.601 0.000 0.840 0.986\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 138.23 Jarque-Bera (JB): 18.20\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 5.30 Skew: -0.81\n", "Prob(H) (two-sided): 0.00 Kurtosis: 2.27\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] } ], "source": [ "endog = cpi_ewma\n", "exog = sm.add_constant(m2_ewma)\n", "exog.columns = [\"const\", \"M2\"]\n", "\n", "mod = sm.RecursiveLS(endog, exog)\n", "res = mod.fit()\n", "\n", "print(res.summary())" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:52.747738Z", "iopub.status.busy": "2024-04-19T16:33:52.746871Z", "iopub.status.idle": "2024-04-19T16:33:54.121888Z", "shell.execute_reply": "2024-04-19T16:33:54.121234Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_recursive_coefficient(1, alpha=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CUSUM plot now shows substantial deviation at the 5% level, suggesting a rejection of the null hypothesis of parameter stability." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:54.127697Z", "iopub.status.busy": "2024-04-19T16:33:54.125949Z", "iopub.status.idle": "2024-04-19T16:33:55.602724Z", "shell.execute_reply": "2024-04-19T16:33:55.601909Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_cusum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, the CUSUM of squares shows substantial deviation at the 5% level, also suggesting a rejection of the null hypothesis of parameter stability." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:55.606264Z", "iopub.status.busy": "2024-04-19T16:33:55.605923Z", "iopub.status.idle": "2024-04-19T16:33:56.754982Z", "shell.execute_reply": "2024-04-19T16:33:56.754327Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_cusum_squares()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 3: Linear restrictions and formulas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear restrictions\n", "\n", "It is not hard to implement linear restrictions, using the `constraints` parameter in constructing the model." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:56.760760Z", "iopub.status.busy": "2024-04-19T16:33:56.758960Z", "iopub.status.idle": "2024-04-19T16:33:56.815417Z", "shell.execute_reply": "2024-04-19T16:33:56.814729Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -134.231\n", "Date: Fri, 19 Apr 2024 R-squared: 0.989\n", "Time: 16:33:56 AIC 276.462\n", "Sample: 01-01-1951 BIC 281.338\n", " - 01-01-1975 HQIC 277.814\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "const -4839.4836 2412.410 -2.006 0.045 -9567.721 -111.246\n", "COPPERPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INCOMEINDEX 1.115e+04 666.308 16.738 0.000 9847.000 1.25e+04\n", "ALUMPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INVENTORYINDEX 241.3452 2298.951 0.105 0.916 -4264.515 4747.206\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 6.27 Jarque-Bera (JB): 1.78\n", "Prob(Q): 0.01 Prob(JB): 0.41\n", "Heteroskedasticity (H): 1.75 Skew: -0.63\n", "Prob(H) (two-sided): 0.48 Kurtosis: 2.32\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] } ], "source": [ "endog = dta[\"WORLDCONSUMPTION\"]\n", "exog = sm.add_constant(\n", " dta[[\"COPPERPRICE\", \"INCOMEINDEX\", \"ALUMPRICE\", \"INVENTORYINDEX\"]]\n", ")\n", "\n", "mod = sm.RecursiveLS(endog, exog, constraints=\"COPPERPRICE = ALUMPRICE\")\n", "res = mod.fit()\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formula\n", "\n", "One could fit the same model using the class method `from_formula`." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:56.821011Z", "iopub.status.busy": "2024-04-19T16:33:56.819363Z", "iopub.status.idle": "2024-04-19T16:33:56.890342Z", "shell.execute_reply": "2024-04-19T16:33:56.889649Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -134.231\n", "Date: Fri, 19 Apr 2024 R-squared: 0.989\n", "Time: 16:33:56 AIC 276.462\n", "Sample: 01-01-1951 BIC 281.338\n", " - 01-01-1975 HQIC 277.814\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "Intercept -4839.4836 2412.410 -2.006 0.045 -9567.721 -111.246\n", "COPPERPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INCOMEINDEX 1.115e+04 666.308 16.738 0.000 9847.000 1.25e+04\n", "ALUMPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INVENTORYINDEX 241.3452 2298.951 0.105 0.916 -4264.515 4747.206\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 6.27 Jarque-Bera (JB): 1.78\n", "Prob(Q): 0.01 Prob(JB): 0.41\n", "Heteroskedasticity (H): 1.75 Skew: -0.63\n", "Prob(H) (two-sided): 0.48 Kurtosis: 2.32\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.14/x64/lib/python3.10/site-packages/statsmodels/tsa/base/tsa_model.py:465: ValueWarning: No frequency information was provided, so inferred frequency YS-JAN will be used.\n", " self._init_dates(dates, freq)\n" ] } ], "source": [ "mod = sm.RecursiveLS.from_formula(\n", " \"WORLDCONSUMPTION ~ COPPERPRICE + INCOMEINDEX + ALUMPRICE + INVENTORYINDEX\",\n", " dta,\n", " constraints=\"COPPERPRICE = ALUMPRICE\",\n", ")\n", "res = mod.fit()\n", "print(res.summary())" ] } ], "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": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }