{ "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": "2021-02-02T06:51:16.140509Z", "iopub.status.busy": "2021-02-02T06:51:16.129490Z", "iopub.status.idle": "2021-02-02T06:51:17.528460Z", "shell.execute_reply": "2021-02-02T06:51:17.529532Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\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": "2021-02-02T06:51:17.534845Z", "iopub.status.busy": "2021-02-02T06:51:17.533349Z", "iopub.status.idle": "2021-02-02T06:51:17.555813Z", "shell.execute_reply": "2021-02-02T06:51:17.556849Z" } }, "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='AS')\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(dta[['COPPERPRICE', 'INCOMEINDEX', 'ALUMPRICE', 'INVENTORYINDEX']])" ] }, { "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": "2021-02-02T06:51:17.561206Z", "iopub.status.busy": "2021-02-02T06:51:17.559814Z", "iopub.status.idle": "2021-02-02T06:51:17.603997Z", "shell.execute_reply": "2021-02-02T06:51:17.605020Z" } }, "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: Tue, 02 Feb 2021 R-squared: 0.965\n", "Time: 06:51:17 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": "2021-02-02T06:51:17.609783Z", "iopub.status.busy": "2021-02-02T06:51:17.608321Z", "iopub.status.idle": "2021-02-02T06:51:19.232765Z", "shell.execute_reply": "2021-02-02T06:51:19.232373Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2.88890087 4.94795049 1558.41803044 1958.43326657\n", " -51474.95388788 -4168.95149559 -2252.61355068 -446.55914591\n", " -5288.3979562 -6942.31935581 -7846.0890274 -6643.15121685\n", " -6274.11015971 -7272.01696693 -6319.02648938 -5822.23929508\n", " -6256.30903109 -6737.40446393 -6477.42841967 -5995.90747553\n", " -6450.80678495 -6022.92167048 -5258.35153179 -5320.891368\n", " -6562.3719406 ]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:19.253083Z", "iopub.status.busy": "2021-02-02T06:51:19.244307Z", "iopub.status.idle": "2021-02-02T06:51:19.497805Z", "shell.execute_reply": "2021-02-02T06:51:19.498192Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.69971507 0.65841239 1.2462967 2.05476027 2.39888914 3.17861975\n", " 2.67244668 2.01783211 2.46131743 2.05268634 0.95054332 -1.04505551\n", " -2.5546529 -2.29908156 -1.45289497 -1.95353998 -1.35046625 0.15789824\n", " 0.63286526 -1.4818459 ]\n" ] }, { "data": { "image/png": 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uHKG9hlD+H9ZO1h6apuUDf8aa3JdpmjYLOALc0h5lObslS5Y4OgTRgdTU1JCdnY2LiwsjR47k5MmTREZGYrFY6NKlC0OHDmXOnDn6UNvw8HC+/PJLB0ctOpL2Gl1zpvuRR7fT+WXeik5OdaAVyDq6pUuXsm7dOkwmE9u3b8dsNjNmzBhWrVqFl5cXH3/8MbGxsSQmJrYZBSXE6Ti84/VsPDw8KC0tJTAwUBJ9J6WUorS0VJoKfqa4uBiTyYTJZKKkpIT33nsPgHnz5pGdnU1aWhpPPPGEPia91dSpUx0VsuiEOnySDwsLIz8/n444vFKcOw8Pj0tqybWfa2xspEuXLgC8/fbbvP766/z000+A9T6EpKQkzGYzrq6uLFu2DH9/f30RaSEuRodP8u7u7vodlkJ0BqplEelTO0dzcnI4ePAgYWFhdO/enaSkJO69914MBgPJycltpoD4+V2kQlyMDp/khejoKisr2bx5MwMHDiQkJIRPPvlEnzbX09OT1NRUHn74Yb25ccaMGfodpkLYmiR5Ic5TVVUVS5cu1Wvqu3fvRinFe++9x7333suoUaN47733MBqNJCQk4OYmf2bCcbSONOohJSVFtU6NK0RHUFBQoDe5JCQkMG3aNCoqKvD39ycwMBCDwYDRaNTvHG2PO5SFOF+apmUrpVJOt0+qGEK0sFgsemfnXXfdxdq1azl69Chg7Rv6zW9+w7Rp0/Dz8yMvL4/IyEgZ8SU6PEny4pKklGL//v1tOkc9PT3ZuHEjYB0NM2LECL2GnpSU1GYIaFRUlIMiF+L8SJIXl4TS0lJyc3P11aymT5/OokWLAPD29iYtLY3LLrtMf73ceSychSR54ZTy8vL46quv9Jr6/v37AeusosHBwUydOpX09HSMRiP9+/fH1dXVwRELYRuS5EWnppTiyJEjejL/zW9+Q0xMDOvWreOBBx6gV69eGI1GZs6cidFo1DtGx44d6+DIhbAPSfKiU2mdx+jgwYM88sgjZGRkUFhYCFjvqk1PTycmJoabbrqJ0aNHEx4eLp2j4pImSV50WGazmd27d+u1dJPJpC+b6OPjw+7du7n66qv1YYyDBw/W1xj18/PDz8/PsW9AiA5AkrzoME6cOEFpaSnx8fGYzWZ69epFSUkJAP7+/hgMBiIiIgDrKlV79+51ZLhCdAqS5IXDZGdns2HDBn0I4+HDhxkxYgQbN27E1dWVP/zhD/Tu3RuDwUC/fv2k2UWICyB3vAqbU0px8OBBMjIyOHDgAM888wwAN9xwAytWrCAiIkIfjz5ixAiMRqNjAxaik/m1O14lyQubWb58Oe+//z4mk4nS0lIAvLy8OH78OF5eXuzbtw9vb2969+7t4EiF6NxkWgNhM01NTWzfvl3vGDWZTHzxxRfExsZSWFjI4cOHmTBhgt45OnDgQH1MemxsrIOjF8L5SZIX50wpRX5+Pp6envTo0YP169dz7bXXUldXB0BwcDAGg4GGhgYA7r77bu6++25HhizEJU+SvDijpqYmNm3apHeMmkwmCgoKePXVV/n9739PXFwcc+bM0WdhjIqKks5RIToYaZMXgHUGxr1795KRkYG/vz8TJkygtrYWHx8fzGYzMTExeufo2LFjiYuLc3TIQogW0iYvzujll19m9erVZGZmUllZCcC4ceOYMGEC3bp1Y+3atQwYMICgoCAHRyqEuBCS5C8BDQ0N5Obm6h2jFRUVrFy5EoD169dTXFzMlClT9M7RUztER40a5aiwhRDtQJK8k2ldRLq1ffyZZ57h+eefp7GxEYDQ0FCGDx+uL5Dx5Zdf6gtlCCGcjyT5Tq66ulqvobd2jhYXF5OXl0dUVBRDhgzhoYce0jtHw8LC2hwvCV4I5yZJvhNpbm5m586dmEwmRo8eTUxMDF9//TW33XYbAP3792fcuHEYjUZ8fHwAmDBhAhMmTHBg1EIIR5Ik38GVlJTw8ssvYzKZ2Lx5M7W1tQC8++673HfffYwePZpvv/2WtLQ0mXVRCPELMoSyg6itrWXLli16k8vIkSN5+OGHqa6uJjg4mEGDBulNLkajkT59+siYdCEEIEMoOxyLxUJpaak+LDE9PZ2NGzdiNpsB6yLRycnJgHX90crKSrp06eKweIUQnZckeTsoKytr0zmamZlJZGQkOTk5AKSmpuqzL6alpdGzZ882x0uCF0JcKJsneU3TDgHVgBloPtNHCmfR2NjItm3b2Lp1K7NmzQLgvvvuY9myZbi4uJCQkMCkSZMYMWKEfszLL7/sqHCFEE7O5m3yLUk+RSlVcrbXdtY2+ezsbBYvXozJZCI7O1ufoCs/P5/Q0FA2b95MTU0NKSkpeHl5OThaIYSzkTb5dlJdXc3mzZv1Zpe//vWvxMfHs3v3bt577z2Sk5P5zW9+o3eQhoSEANbmGCGEcAR7JHkFrNI0TQEfKKXmnrpT07Q5wBxAX7+zIzCbzTQ0NNCtWzd27drF5MmT2bFjB62ffPr160dhYSHx8fFMmjSJ2267TV9EWgghOgp7JPkRSqkCTdOCgdWapu1RSm1o3dmS9OeCtbnGDvGcVmFhYZu7RjMzM3nsscd46qmn6N27N6GhoUycOFHvHA0ICNCP9fDwcFTYQgjxq2ye5JVSBS3fizRN+xxIAzb8+lG2VV9fT05ODg0NDaSnp9Pc3Ex0dDR1dXW4ubmRmJjI9OnTGT58OAD+/v58/fXXjgxZCCEuiE2TvKZp3QEXpVR1y+OrgWdtWeaZfPHFF6xZs4aMjAy2bt1KU1MTaWlpmEwm3Nzc+Pvf/05ERARDhw7F09PTESEKIUS7s3VNvifwecudmW7AEqXUN7YssLy8nMzMTEwmE3l5eXz00UcAfPzxx6xatYrU1FQeeeQRfQGMVlOmTLFlWEII4RA2TfJKqZ+ARFuW0WrBggW88MIL7N27FwBN04iPj6e2tpZu3boxf/58fH199UWkhRDiUuA0Qyi7d+9OXFwc06dPx2g0kpKSos/ECLTpKBVCiEuFTFAmhBCd3K/dDCUrRgghhBOTJC+EEE5MkrwQQjgxSfJCCOHEJMkLIYQTkyQvqG1sZs2uQnYcq8Rs6TijrYQQF89pxsmL86OUIvtwOZ9m5bNy+3FONjQD4O3hRlpUAIY+ARiiA4kP8cHNVeoCQnRWkuQvMccr6/jXlmP8MzufvJIaunVxZdyg3oxPDKGsphFTXimmn8r4z54iALy6upEc6U9adADGPgEMCvWji5skfSE6C0nyl4D6JjOrdhXyadZRNh4oQSlIiw7g/vQYxg3qTfeu/70MJiSFAlBUVY8pr0xP+i9/a50uwtPdlaGRfhiiAzFEB5AY7oeHu0wVIURHJXe8OimlFFvzK/k06yjLtxZQVd9MqJ8nNw8N5ebkMCIDu5/X+UpPNrD5UBkZP5Vhyitjz4kqlIIubi4MCffDGB3AFf2DSQzzw8VFs9G7EkKczq/d8SpJ3skUVdfzeUtzzP6ik3R1c+HahF7ckhLOsD6B7ZaAK2ob2XyoHNNPpZjyythZUIlFQU+froyN78XY+F6kRQfgLu35QticJHknZrYo8str2ZZfyb9zjrFuXzFmi2JohB+3pIRz3eDe+HjYflnCytom1u4t5JsdJ1i/r5j6Jgu+nu5cNaAnY+N7Mio2qF2bdZRSHC2rI+doOblHK9hVUEWwjwcJIT4MCvUlPtQXX09ZjlFcGiTJO4HWZL6v8CT7Cqs5UPTf7w3NFsBai544NIybh4bRN9jLYbHWNZpZv6+YVTtPsGZ3IVX1zXi6u5IeF8TY+F5c0T/4vBNwZV0T2/IryD1SQe5R61dpTSMAHu4u9O/lQ3F1A8cq6vRjIgK6MSjUl4RQXxJCfUgI8cW/e5d2fa9CdASS5DsRi0VxtCWZ7y+qZn9LUj9YfJL6Jov+ut6+HvTr6U2/YC9ie3oR29ObQaG+HW64Y5PZgumnMr7ZeZxVOwspqm7A3VVjWEwPxsb3ZMzAngR7t10jt9lsYc+JanKOtib1cg4W1+j7+wZ7MSTcT/+K6+WtNwuV1TSy41gl249VsrPA+v1o2X8Tf5i/JwkhvgwKa0n+IT4EenW1zw9DCBuRJN+BWSyKH38q5YvcY+w6XsWBorbJvJePB/1aknhsTy/6BnvTr6eXXZpg2pvFosjNr+DbHSf4ducJDpXWommQHOHPlQOCKa9pJPdoBduPVeo/g8DuXf6b0CP8GBzmd/6fAmqb2NGS8Lcfq2TnsUoOldbq+0N8PUgI9WXi0DDGxvekZSUzIToNSfIdUGFVPf/MzueTzUc5UlaLt4cbQ8L96BdsTeb9enbeZH4ulFLsLazm2x2FfLvzBLuOV9HFzYWEEB+GhPszJMKPpHA/wvw9bZJ0K+ua2FlQyc5jVWw/Vkn24XKOVdQxJNyPx67pz7CYwHYvUwhbkSTfQTSbLazbW8zSzUf5bm8RZovC2CeAKWkRjI3vdUmPNy+ubsDX091hN1o1my18tiWf11fv50RVPZfHBvHoNXHEh/g6JB4hzockeQc7WlbLJ5uP8mn2UQqrGujh1ZVJyWHclhpOdI/zG68ubKu+yczHmw7x7rqDVNY1ceOQEB4ZE0dEYDdHhybEGUmSd4CGZjOrdxXyyeajfL+/BBcNLo8N4rbUCEYPCJbx4x1cZV0T768/yEc/5GG2KG5Pi+CBK/sR5C2dtKLjkSRvRweKqlmaeZR/5RyjrKaRUD9Pbk0J55aUMEL8PB0dnjhPhVX1/G3NfpZlHaWrmwt3X9aH2ZdF4+2kfSWic5Ikb2OlJxv4z54ilm0+StbhctxcNK6O78ltqRGM7NsDV7nNv9M7WHyS11btY+X24wR078IDV/TlDmMEXd0u3X4U0XFIkm9nZotia34F6/YWs35vEduOVaIU9OnRnclp4UwcGkYPGXvtlLYereClb/fww4FSwvw9+f2YWG4cEir/yIVDSZJvByUnG9iwr5h1e4v5fn8x5bVNuGgwJNyP9Lhg0uOCGBTqK2OsLxHf7y/mxW/2sONYFf17efOHsXFc2T9Yfv/CIX4tyctUw2dgtihyj1awfm8R6/YVs72lth7YvQtXxAWT3j+Yy/r2kNvkL1GX9QtiREwPVm4/zqur9jLr4yxuSQ7jhZsHS61edChOkeQbmy2U1jTg5uKCu6uGm6sLbi4a7q4u5/UHd2ptfcP+YipOqa3/7qpY0uOCSAjxlal0BQAuLho3JIZwTUIv3lizn7e/O0Cj2cKrtyR2uOklxKXLKZL87uNV3PjOD6fdp2ng7uKCm6uGm4tGFzcX3Fqeu7f8M3BzdaHZbGF/0UkAenh14cr+waTHBTOqXw/8ukltXZyZu6sL/29sHN27uvHiN3tobLbwxuQkWUHrElBZ28SWI9aZUI19AjvkndJO0SZfcrKB1bsKaTZbaDIrmi0t30953GS2WPdbFM1mC81mpT9uMiuUUnr7enyIj9TWxQX5cGMez67Yxej+wbxzx9BL+i5mZ6OU4khZLVmHysk6XE724TL2FZ7U97u7arx3RzJXDexp99ik41UIO1qUcZin/r2Dy/r1YO60FDy7SKLvjBqbLewssM5r1JrYS042ANYF74dG+JMS6U9ylD8xQV7MXpjFnuPVzJ2eTHpcsF1jdWiS1zTtGuANwBWYr5R64UyvlSQvnMWyrKM89tk2DNEB/P3O1Dbr6IqOqbK2iewjZXpC33q0Ql+rIczfk9SoAJIj/UmJ8qdfsPcv+vsqa5uYMi+Dg8Un+fCuVEb07WG32B2W5DVNcwX2AWOAfGAzMEUptet0r5ckL5zJF7nH+P2yrQwJ9+OjGalOO6NoZ3e0rJZH/7mNH38qBcDVRSM+xMea0CMDSInyp6ePx1nOYlVW08iUuRkcKatlwYxUDH3s00bvyCQ/DHhGKTW25fnjAEqp50/3+otN8ps2bbrgY4WwhcyCRt7KriHS15U/Gr3w6iKdsR1JxrFG5m21LkgzLsaD/oFuxPi54eF24X1ylQ0W/vJDNWV1Fv44zJvYgHP7FDd8+PALLvPXkrytr7hQ4Ogpz/Nbtuk0TZujaVqWpmlZxcXFNg5HCPtKC+nCb1O7c6TKzHObTlLVYDn7QcLmGpoV83JreDO7hlBvV56/3Ieb4zyJ7+F+UQkewLerC08O98bXw4UXM6o5WN7cTlFfGFs3FJ7up9Xmo4NSai4wF6w1+Ysp7GL+EwphK8OBwQnFzFmYxWu5ZhbdnfKLJQ+F/ew5UcUDS3I4WNzIfekx/H5MrE1mhU0aWsdtc3/k5c11LJltJCHUMWsT2Lomnw+En/I8DCiwcZlCdDiXxwaxYEYa+eV1TP4ggxOV9Y4O6ZKjlOIfPx5i/Ns/UFnXxMKZaTx2TX+bTfsd4ufJkruNeHu4M+3vJvacqLJJOWdj6yS/GeinaVq0pmldgMnAlzYuU4gOaVhMIAtnplFU3cCtH/xIfnnt2Q8S7aKitpF7F2Xz9Bc7GdYnkK8fvozL+gXZvNzwgG4smW2gi5sLU+ebOFBUbfMyf86mSV4p1Qw8AHwL7AaWKaV22rJMITqylKgAFt1toKK2kds+yOBQSY2jQ3J6mXlljHvje9buKeLJcQP46K5Uu84SGxnYnSWzjYDG7fNM5Nn5d27zrn6l1FdKqVilVIxS6jlblydERzck3I8ls43UNjZz29wfOVB08uwHifNmtijeWLOfyXN/xN3Nhc/uG87sUX0ccjd7TJAXS2YbaLYobp+XwZFS+32Kk/FcQjhAQqgvS+cMw2yByXN/ZO8J+3+Md2bHK+u4fV4Gr6/Zx/jEEFY8OJLBYX4OjSm2pzeLZhmoazIzZV6G3ZrrJMkL4SBxvbz55B4jri4ak+f+SM6RckeH5BRW7yrk2je+Z/uxSl69JZG/TU7qMMs1DgzxYdEsA1X1Tdw+z2SXDnhJ8kI4UEyQF8vuGYaXhxu3vP8jczccxGLpOPNJdSb1TWae+XInsxdmEernyYoHR3Jzcpijw/qFhFBfFs5Mo6ymkdvnZVBUbdtEL0leCAeLDOzOigcuY8zAnvz1qz3ctWCzPhGWODf7Cqu56d1NLNh0iJkjovnX/cPpE+Tl6LDOKCnCnwUzUjlRVc8d80yU2vD3LbNQCtFBKKVYbDrCsyt24evpzuu3DmFkP/tNcnWhms0WNh0spaubC4nhfnaZXrnZbCHnaAVr9xTx3Z4i9pyoJqB7F165ZTBX9rf/VL8X6seDpcxYkElUYHf+b7bxgleak6mGhehE/ntH5knuT4/ht1fZ5o7Mi1VYVc/SzKMs3XyE4y1ty13cXBgS7ochOoC0aOusjd26tM+N9eU1jazfV8zaPUWs31dMZV0Tbi4aKVH+XNk/mAlJoZ3yTuLv9xcz6+MshscEsmBG2gWdQ5K8EJ1MXaOZZ1fs5P8yjzI0wo83JicRHtDN0WGhlOLHg6UsMh1m1c5Cmi2Ky/r14A5DBK4uLmTmlZKZV8aOgirMFoWbi0ZCqK+e9FOiAvD1PLdOUKUUu49X893eItbuKSLnSDkWZV257fLYYK7sH8xlsT2cYnbP9fuKCfXzpG/whTUxSZIXopNavrWAJ/61HTR46ebBXDuot0PiqKxt4p9b8llsOsxPxTX4dXPnluQwbjdEEt2j+y9ef7KhmezD5XrS33q0kkazBU2DAb18SIsOwBAdQGp0QJsbk2obm/nhQClr9xSxbm+R/glhUKgvV/S3JvbBobLO8s9JkheiEztSWsuDS3PYerSCOwwRPH39QLstK7gtv4JFGYf5cmsB9U0WkiL8mGqI5LrBvc8rhvomMzlHKsjMKyPzUCnZh8upb7LOyNk32IuUSH8KKuvJ+KmUxmYLXl3dGNm3R8tay0EEn+N87pcqSfJCdHJNZguvrNrLB+t/Iq6nN2/dnkRsT2+blFXXaGb51gIWmQ6zLb8ST3dXJiSFcIchst1mUmxstrCjoBLTT2Vk5pWSdbicIK+uem09NSpAFkI/D5LkhXAS6/cV88iyXE42NPPMDfHclhqOprVP08XB4pMszjjCP7OPUlXfTL9gL6YaI7lpaKhTtHs7M0nyQjiRoup6Hlm2le/3l3Dd4N48P3HQOSfh+iYzxyrqyC+vI7+8lmPl1seHSmvYll+Ju6vG2PheTDNGkhYd0G7/QIRtSZIXwslYLIoPNvzEK6v2EuLnwZuTk0iK8Ke2sVlP3PkV1kSeX16nb/v5TVZuLhohfp6E+nkysl8Pbk0JJ8jbfjM0ivYhSV4IJ7XlSDkP/V8OJyrr8fV0p7Smsc3+Lq4uhPpbk3hY6/cAT8L8uxHq50lPHw9cZaRKp/drSd7Wy/8JIWxoaIQ/Kx+6jDf/s5+6JrOezMP8uxHm70mQV1cZbniJkyQvRCfn6+nO09cPdHQYooOSMUpCCOHEJMkLIYQTkyQvhBBOTJK8EEI4MUnyQgjhxCTJCyGEE5MkL4QQTkySvBBCODFJ8kII4cQkyQshhBNzmmkN1q5dyzfffIPRaMRgMBAaGurokIQQwuGcpiafk5PDG2+8wc0330xYWBhhYWFMmjSJ2tpawLoosBBCXGqcaqrhhoYGcnNzycjIwGQykZeXx6ZNm9A0jTvvvJNt27bpNX2j0UhsbCwuLk7zf04IcYm6ZKYa7tq1KwaDAYPB8It9ycnJFBQUsGTJEt5//30ARowYwcaNGwEwmUzExMTQo0cPu8YshBC2ZLOavKZpzwCzgeKWTU8opb76tWPssWiIxWJhz549mEwm3N3dmTp1KhaLBX9/f6qqqujbt6/+j+Kqq65iwIABNo1HCCEulkNWhmpJ8ieVUq+c6zGOWhnKbDazceNGTCYTGRkZZGRkcPz4cZ544gmee+45ampqeOqpp/SmnsjISFn7UgjRYUiSP09KKfLz83F1dSUkJITc3FyGDx9OXV0dAMHBwRgMBp566inS0tIcHK0Q4lL3a0ne1r2OD2iatk3TtA81TfM/3Qs0TZujaVqWpmlZxcXFp3uJ3WmaRnh4OCEhIQAMGTKEyspKsrOzeeedd7jmmmvYu3cvFosFgM8//5yEhATuvvtu5s2bx/bt2zGbzY58C0IIAVxkTV7TtDVAr9PsehLIAEoABfwF6K2Umvlr5+soNfnztXr1al5//XVMJhNlZWUAeHl5sXfvXkJCQjh06BAeHh706nW6H5UQQlwcm42uUUpddY4BzANWXExZHdmYMWMYM2YMSikOHDiAyWQiNzeX3r17A/DMM8/w8ccfExERobfrDxs2jGHDhjk4ciGEs7Nlm3xvpdTxlse/AwxKqcm/dkxnrcmfTU5ODuvWrdPH7x8+fJi4uDj27NkDwHvvvYeXlxdGo5G+fftKp64Q4rw4apz8S5qmDcHaXHMIuMeGZXVoSUlJJCUl6c9PnDhBQUGB/vzll18mLy8PgICAANLS0pg8eTJ33nmn3WMVQjgXmyV5pdQ0W527s+vVq1eb9vn9+/eza9cufQinyWRi9+7dANTX15OSksLQoUP1pp7Bgwfj7u7uqPCFEJ2IU01r4EyUUmiaxvHjx7n33nvJyMigqKgIAA8PD+bNm8fUqVOpqamhtLSU8PBwaeYR4hJ1yUxr4ExaE3bv3r354osvUEpx+PBhTCYTJpOJ+Ph4wDr75vjx4+ndu7d+p67RaMRoNOLh4eHItyCE6ACkJt/JHTlyhC+//FJv6jlw4AAAu3btYsCAAWzcuJG9e/diNBoZMGCATMgmhBNyyB2vF0KS/MUrKSkhMzOTa665BhcXFx588EHefvttALy9vUlLS8NoNPLss89KwhfCSUiSv4RZLBb279+vd+iaTCZqamr04ZsPPPAApaWleqduUlISXbt2dXDUQojzIW3ylzAXFxfi4uKIi4vTh2Q2Nzfr+y0WCz/88ANLly4FoEuXLkybNo358+cDUFBQQO/evaVTV4hOSpL8JcjN7b+/9nfffZd3332XgoICvV0/IiICgKamJmJiYvDy8tI7dVu/fH19HRW+EOI8SHONOKO6ujoWLlyoJ//Wsfv/+7//y5NPPklFRQVLly7FaDSSkJDQ5p+HEMJ+pE1etIuKigo2b95Mnz59iImJYdWqVYwdOxaAbt26kZKSgsFg4N5776VPnz4OjlaIS4ckeWETSiny8vLadOrm5OSQmZlJYmIi//73v1m0aJHeqZucnEy3bt0cHbYQTkc6XoVNaJpGnz596NOnD7fffjtgXUy9dcqF8vJycnJy+OyzzwBwdXVl8ODBbNiwAS8vLyorK/H29pahnELYkCR50a5OHX45Y8YMZsyYQXFxsd6uf/DgQby8vACYPXs2q1evJi0trU2nriymLkT7keYa4TCfffYZq1atwmQysX37diwWC0OHDiU7O1vfHxERQWJiIl26dHFwtEJ0XNImLzq8kydPkp2dTUNDA1dffTVmsxlfX19qamro2rUrQ4cOxWAwMGHCBC6//HJHhytEhyJt8qLD8/LyapO8XV1d2bNnj96pm5GRwQcffICPjw+XX345VVVVTJs2TW/iSU1NxcfHx4HvQIiOSWryotNoamqivr4eb29vdu3axcSJE9m7dy9g7QQeOHAgb775JldeeSWNjY24urri6urq4KiFsD2pyQun4O7uro/cGThwIHv27KG8vJzMzEy9th8YGAjAv/71L2bPnk1KSoo+hNNgMOjr7gpxqZCavHBKWVlZfPzxx2RkZJCbm6vP13PkyBHCw8PJycmhtraWoUOH4unp6eBohbg4UpMXl5yUlBRSUqzXfF1dHTk5OeTk5BAWFgbAq6++yuLFi3FzcyMxMRGj0cjw4cP18f5COAupyYtLUmFhod7Ek5GRwebNm4mOjmbbtm0APPXUU7i7u2MwGEhLSyMgIMDBEQtxZjKEUoizMJvNFBUV6W32o0aNYuPGjbT+fcTGxjJr1iweffRR/fXSqSs6CmmuEeIsXF1d23TKbtiwgaqqKrKysvQaf+uc+rW1tfTs2ZPExER9TV2DwSCLqYsOSWryQpyn0tJSnnvuOTIyMtiyZQsNDQ0AvPPOO9x///2Ul5ezdetWUlJS9CkchLAlqckL0Y4CAwN57bXXAGhsbGTr1q2YTCZGjx4NwNq1a5k0aRIuLi4kJCToNf0JEyZI276wO6nJC9HOKisr2bRpU5spmCsqKti3bx/9+vVj5cqV/Pjjj/rY/eDgYEeHLDo5qckLYUe+vr5ce+21XHvttcB/F1Pv27cvAJmZmbzwwguYzWYAoqOjMRqN/OMf/8DV1RWllLTti3YjNXkhHKC2tpYtW7botf2ysjL+85//ADBx4kSOHTvWplO3T58+kvjFGckQSiE6keeff55vv/2WrKwsampqALjuuutYsWIFABkZGfTv3x8/Pz8HRik6EknyQnRCzc3N7Ny5E5PJhJ+fH7feeisNDQ34+PjQ2NhI//799Zr+mDFjiImJcXTIwkEkyQvhJJqamli/fn2bKZhLSkp48cUXefTRRykpKeGll17Sm3pCQ0MdHbKwA5t1vGqadgvwDDAASFNKZZ2y73FgFmAGHlJKfXsxZQkhrDNxXnXVVVx11VXAfxdT7969OwC7du3ijTfeoLGxEYDQ0FCMRiPPPPMMCQkJDotbOM7Fjq7ZAUwEPjh1o6ZpA4HJQDwQAqzRNC1WKWW+yPKEEKdoXUy91ahRo6iqqiI3N1ev6ZtMJn2x9IULF/L666/rzTxGo5HY2FhZTN2JXVSSV0rtBk7X638jsFQp1QDkaZp2AEgDfryY8oQQZ9e1a1d9DP5DDz3UZp+fnx9BQUEsWbKE999/X9925MgRvL29ycvLw9vbWxZTdyK2GicfCmSc8jy/ZdsvaJo2B5gDEBERYaNwhBAA48ePZ/z48VgsFvbs2YPJZGLfvn14e3sD8Mgjj/D5558TExOj1/aHDx9OcnKygyMXF+qsSV7TtDVAr9PselIp9cWZDjvNttP28Cql5gJzwdrxerZ4hBAXz8XFhYEDBzJw4MA22x977DGMRiMZGRmsXbuWxYsXYzAYyMiw1tneeOMNevbsidFoJDIyUsbudwJnTfJKqasu4Lz5QPgpz8OAggs4jxDCjlqbecDaqZufn09ZWRlgvXP32Wef1Z8HBwdjMBiYNm0at9xyi8NiFr/OVs01XwJLNE17DWvHaz8g00ZlCSFsQNM0wsPDCQ+31tdcXFw4ceIE27dvb9Opu3//fgDKysq4/PLLSUtL05t64uPjZd59B7uocfKapt0EvAUEARVArlJqbMu+J4GZQDPwW6XU12c7n4yTF6LzaZ1r56effuLBBx8kIyNDr+13796dxYsXc+ONN1JVVUVNTY0spm4DNhsnr5T6HPj8DPueA567mPMLITq+1nb5Pn36sHLlSpRSHDx4UK/px8XFAfDFF18wffp0IiIi2szLk5qaSpcuXRz5Fpya3PEqhLCLAwcOsHz5cr2p5/DhwwAcO3aMkJAQ1q5dq0/M1q9fP+nUPQ8y1bAQwuH69u3L7373O/15YWEhW7ZsISQkBIAPP/yQxYsXAxAQEEBaWhojR47kySefdEi8zkJq8kKIDsFsNrN79+42nbpdu3Zl8+bNAMycOZPm5ma9qWfw4MG4u7s7OOqOQSYoE0J0Ss3Nzbi5WRscpk6dypo1aygsLATAw8OD++67T1+K8fjx4/Tq1euSbOaR5hohRKfUmuABFi1ahFKKI0eO6DX91knXqqqqCA0N1W/Uaq3ty2LqUpMXQjiBqqoqFi5cqDf1HDhwAIC33nqLBx54gMLCQlauXInBYGDAgAFONyGbNNcIIS4ppaWlZGZmkpCQQHh4OJ9++im33norAD4+PqSmpmI0Grn//vv1jt/OTJK8EOKS1rqY+qmdulu3buXgwYNERkayePFiVqxYoTfzDBkyBA8PD0eHfc6kTV4IcUlzcXEhLi6OuLg4pk+fDlgXU/f09ASsUzL88MMPLF26FLAuzpKcnMz333+Pm5sbVVVVeHt7d8pOXanJCyFEi4KCAkwmEyaTicLCQj766CMAxo4dy5YtW/QJ3IxGI6mpqR1mMXVprhFCiIuwePFi1q5dS0ZGBrt370YpxRVXXMHatWsBWLZsGbGxsSQkJLQZEWQvkuSFEKKdVFZWsnnzZlxdXbniiiuora3Fx8cHs9lMt27dSE5OxmAwcPPNN2M0Gu0Sk7TJCyFEO/H19dUXUgfw9PRk3759bTp133zzTXr37o3RaKSgoIAHH3xQH7+fnJysL7xuD5LkhRDiIrQupt6nTx+mTJkCQENDA01NTYB1Arbc3Fz+9a9/AeDq6sqgQYN4//33MRgMNDY24ubmZrOx+851R4AQQnQAXbt21e+0TU1N5eDBgxQVFbF8+XIef/xxgoKCCAwMBOCjjz4iJCQEs9lsk1ikJi+EEHYQFBTE9ddfz/XXX99me3x8PA8//LDNVtCSJC+EEA40cuRIRo4cabPzS3ONEEI4MUnyQgjhxCTJCyGEE5MkL4QQTkySvBBCODFJ8kII4cQkyQshhBOTJC+EEE6sQ81CqWlaMXD4Ik7RAyhpp3CkfClfypfyO0v5kUqpoNPt6FBJ/mJpmpZ1puk2pXwpX8qX8p25/DOR5hohhHBikuSFEMKJOVuSnyvlS/lSvpR/iZZ/Wk7VJi+EEKItZ6vJCyGEOIUkeSGEcGIdOslrmvahpmlFmqbtOGVboqZpP2qatl3TtOWapvm0bI/SNK1O07Tclq/3Tzmmi6ZpczVN26dp2h5N0262c/lTWl6/TdO0bzRN69He5bfsG9yyb2fLfo+W7cktzw9omvampmmavcrXNK2bpmkrW37uOzVNe+Fcym7P93/K/i9PPZe9yrfH9XeW8m1+/Wmadscp136upmkWTdOGtOyz+fV3pvLtdf392vs/5djzuv7ajVKqw34Bo4ChwI5Ttm0GLm95PBP4S8vjqFNf97Pz/A/wvy2PXYAe9iof6+pbRa1lAi8Bz9igfDdgG5DY8jwQcG15nAkMAzTga+Bae5UPdAOuaNnWBfjenuWfctxEYMmZrhEb//ztcf2d6edvl+vvZ8cNAn465bnNr78zlW+v6+/X3v+FXn/t9WXXwi4owJ8lT6CK/3YYhwO7Tve6n53jKNDdEeUD7kAxENlykb8PzLFB+eOARac5vjew55TnU4AP7FX+ac73BjDbnuUDXsBGYOD5/pG1U/n2uP7O9Pu3y/X3s2P+Cjxnz+vvTOXb6/r7tfIv5vprj68O3VxzBjuA8S2Pb8H6g24VrWlajqZp6zVNuwxA0zS/ln1/0TRti6Zpn2qa1tNe5SulmoD7gO1AAdZf9N9tUH4soDRN+7blfT7asj0UyD/l+PyWbfYqX9fyu7gB+I+dy/8L8CpQexHlXlD5drz+Tlu+Ha+/U90G/F/LY3tdf2cqX2fj6+/Xym/P6++8dcYkPxP4jaZp2YA30Niy/TgQoZRKAn4PLGlpL3MDwoAflFJDgR+BV+xVvqZp7lj/yJKAEKwfqR+3QfluwEjgjpbvN2maNhpr7e3nLmbc7PmWD4CmaW5YL/w3lVI/2av8lnbRvkqpzy+izAsuH/tdf2d6//a6/gDQNM0A1CqlWtue7XX9nan81u22vv5OW74Nrr/z5uaogi+UUmoPcDWApmmxwHUt2xuAhpbH2ZqmHcRau8nG+h+09Yf8KTDLjuVrLdsOthyzDPhje5ePtYa0XilV0rLvK6ztiYuwJplWYVhrdPYqv7XWNBfYr5T624WWfYHlnwSSNU07hPV6D9Y0bZ1SKt1O5a/FDtffr5Rf1XKcra+/VpNpW4vNxz7X35nKb2Xr6+9M5Q+jHa+/C9HpavKapgW3fHcBnsLaxoimaUGaprm2PO4D9MPa+aGA5UB6yylGA7vsVT5wDBioaVrrDHFjgN3tXT7wLTC4ZTSBG3A51vbC40C1pmlGTdM0YDrwhb3Kb3nt/wK+wG8vtNwLLV8p9Z5SKkQpFYW1hrvvYv7ALqB8u1x/Zyof+11/rdtuAZa2brPj9Xfa8lu22+P6O9P7b9fr74LYuxPgfL6w/kc8DjRhrRHMAh4G9rV8vcB/O0FuBnYCW4EtwA2nnCcS2ID1o+p/sDar2LP8e7H+YW3D+gcf2N7lt7x+aksMO4CXTtme0rLtIPD2qcfYunysNTfV8v5zW77utuf7P2V/FOc3uqa9fv42v/7OUr69rr90IOM057HX9feL8u18/Z32/V/o9ddeXzKtgRBCOLFO11wjhBDi3EmSF0IIJyZJXgghnJgkeSGEcGKS5IUQwolJkhdCCCcmSV4IIZzY/we1t2htm/SDowAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:19.508523Z", "iopub.status.busy": "2021-02-02T06:51:19.501937Z", "iopub.status.idle": "2021-02-02T06:51:19.961207Z", "shell.execute_reply": "2021-02-02T06:51:19.961608Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:19.964592Z", "iopub.status.busy": "2021-02-02T06:51:19.963919Z", "iopub.status.idle": "2021-02-02T06:51:20.671262Z", "shell.execute_reply": "2021-02-02T06:51:20.671693Z" } }, "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": "2021-02-02T06:51:20.679354Z", "iopub.status.busy": "2021-02-02T06:51:20.678690Z", "iopub.status.idle": "2021-02-02T06:51:20.712513Z", "shell.execute_reply": "2021-02-02T06:51:20.712835Z" } }, "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", "m2_ewma = ewma(np.log(m2['M2SL'].resample('QS').mean()).diff().iloc[1:], 0.95, 10*4)\n", "cpi_ewma = ewma(np.log(cpi['CPIAUCSL'].resample('QS').mean()).diff().iloc[1:], 0.95, 10*4)" ] }, { "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": "2021-02-02T06:51:20.728146Z", "iopub.status.busy": "2021-02-02T06:51:20.726243Z", "iopub.status.idle": "2021-02-02T06:51:20.882277Z", "shell.execute_reply": "2021-02-02T06:51:20.882598Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:20.891456Z", "iopub.status.busy": "2021-02-02T06:51:20.889398Z", "iopub.status.idle": "2021-02-02T06:51:20.908897Z", "shell.execute_reply": "2021-02-02T06:51:20.909226Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: CPIAUCSL No. Observations: 141\n", "Model: RecursiveLS Log Likelihood 692.784\n", "Date: Tue, 02 Feb 2021 R-squared: 0.813\n", "Time: 06:51:20 AIC -1381.567\n", "Sample: 01-01-1970 BIC -1375.670\n", " - 01-01-2005 HQIC -1379.171\n", "Covariance Type: nonrobust Scale 0.000\n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0033 0.001 -5.930 0.000 -0.004 -0.002\n", "M2 0.9097 0.037 24.582 0.000 0.837 0.982\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 138.20 Jarque-Bera (JB): 18.33\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 5.30 Skew: -0.82\n", "Prob(H) (two-sided): 0.00 Kurtosis: 2.29\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": "2021-02-02T06:51:20.925962Z", "iopub.status.busy": "2021-02-02T06:51:20.923439Z", "iopub.status.idle": "2021-02-02T06:51:21.194025Z", "shell.execute_reply": "2021-02-02T06:51:21.193616Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:21.209012Z", "iopub.status.busy": "2021-02-02T06:51:21.207193Z", "iopub.status.idle": "2021-02-02T06:51:21.474074Z", "shell.execute_reply": "2021-02-02T06:51:21.473684Z" } }, "outputs": [ { "data": { "image/png": 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hOjfzpV8rf1uHZJes+V1yKtBHKZUC9DE9rnEuXbpEdna2+f7y5ctp1apiq+Oll17ilVdeobCwkOLiYqC0Zv/7cszhw4dp1KgREyZMYPz48ezcubPC8127dmXx4sXk5eWRk5PD0qVLLfIeOnXqxJo1azh06BCAucxy4cIFmjRpAmAeIfNWttO3b1/ef/9984dU2YdebTB7UzrjZ22jqY87C//SVRL8TXq6XySxgd48/Z2Ro+dyr7+CuGkWTfJa69Va64Gm+5la615a63DTz3OW3FdVOX36NF27diU2Npb27dszYMAA+vXrZ37+xx9/JD4+noCAAOrVq0enTp2IiYlBKUVsbGyFba1evZq4uDhat27NggULePzxxys8Hx8fz6BBg4iNjWXYsGG0a9fOXDKpjIYNGzJ9+nSGDRtGbGyseaapp59+mueee44uXbqYP5xuZTsvvfQShYWFGAwGWrVqxUsvvVTpmKs7rTX/+fUALy1MomdkI757qBNN6tWxdVg1jouTA++PaoPW8MS83ebJx4XlyFDD1UxOTg6enp7k5ubSrVs3pk+fTps2bWwdlkXYy9+yuETzj0VJzN58mOFtA5k6LEYmtK6kH3Yd44l5CTzTL5KHejSzdTg1zrWGGpZhDaqZiRMnsnfvXvLy8hg7dqzdJHh7kV9UzF+/TWCp8SSTuofxbL9ImcTaAobENeHXvad5+9dkekQ0rLFDLVdHkuSrmblz59o6BHEVOflFTJ69g/WpZ3m+fyQTu0mL01KUUvzfkBi2HjrPE/N2s+gvXaX7qYXUiN9idSopiVtT0/+G5y4VcO9nm9l0MJNpd8VKgrcCHw8XXh8Ww/5T2Uxfm2brcOxGtU/ybm5uZGZm1vgkUZtprcnMzMTNzc3WodySUxfyuOuTjew/lc2no9tKH3gr6hPtxwCDP++tTCX1TI6tw7EL1b5cExgYyLFjx8jIyLB1KKIS3NzcCAysecnxeNZl7vlsM5k5Bcwe34H2oT62Dsnu/ePOlqxPOctz3xuZN7GTDEtcSdU+yTs7O5uvsBSiKh09l8uozzZz4XIhs8e3p3WQ9IGvCg29XHlxQBRPfWfkq61HGNMx2NYh1WjVvlwjhC2kn73E3Z9uIjuviLkPdpQEX8WGtw2ka/MGvPHzfk5ekEHMKkOSvBC/k3omhxGfbiKvqISvJ3Ss1WPA24pSin8NjaGopISXfkyUc3KVIEleiHIOnM5m5PTNlGj4ZmJHogOkv7atBPm682SfCFbsO8OypFO2DscqSkpKbuhq88qQJC+Eyd4TFxk5fTMOqjTBt/DzsnVItd79XUKIbOzF/y3dR16hdZOhteXl5bFx40Y+/vhjHnroIbp06UK9evVYvny5Vfdb7U+8ClEVth46x/gvt+Hp6sTcCR0JbVC7xsKvrpwcHfj7ndHc89kWpq89yGO9wq+/ko0VFxeTlpaG0WjEaDTSrVs3evfuTUpKCl26dAHA29ub2NhYxo4di7+/dUfflCQvar3lSad49OtdNKlfh9njO8hAY9VM52YN6B/TmI9WpzK8bSAB1ejvc+7cOXJycggKCiIvL4/u3buTmJhoHoHWwcEBFxcXevfuTWRkJIsXL8ZgMNC0adMqGw5DkryotUpKNB+sSuU/Kw5gCKzHF+Pi8fFwsXVY4gqe7x/Fyn1nmLYsmbfvjrNZHN9//z3bt28nISEBo9HIsWPHGD58OPPnz8fNzY3g4GA6d+6MwWDAYDAQHR1tngTI2dmZgQMHVnnMkuRFrZSdV8hfv03g172nGdq6Cf8aGkMdF5mCrroKrO/OuC4hTF97kIndw4hsbL0T4hkZGRiNRnMid3Bw4PPPPwdg6tSp7Nq1i6ioKLp3747BYKBz587mdb/99lurxXWrLDHHqxuwFnA1be87rfXLSikfYB4QAqQDI7TW5yu7PyEqK/VMNhNn7+BwZi4v3xnNuM4hMpJkDfBQ92Z8veUIb/2SzMxx8ZXeXkFBAfv27SMlJcU89/PYsWP573//a35N48aNzXV0gB9++IGGDRvi4lJzvvFZoiWfD/TUWucopZyB9Uqpn4FhwEqt9VSl1LPAs8AzFtifELdEa833O4/z8qIk3Jwd+OrBDnQM87V1WOIG1XN3YXKPZrz5SzLb0s8RH3JjQ0yU9bFXSvHrr7/y5ZdfYjQa2bdvn3kazaysLLy9vc1zLxsMBmJiYmjUqFGFbZXNpFaTWGKOVw2UjSTkbLppYDDQw7T8S2A1kuSFjZzJzuPFHxJZvvc07UN8eHdUHP7e1ecEnrgx93cOZdaGdN74eT/zJ3f6wzewvLw8kpKSzD1bykou69evJzIykrS0NNauXYvBYGDgwIHm2rmnpycAQ4cOtcXbsiqL1OSVUo7ADqA58KHWeotSyk9rfRJAa31SKdXomhsRwgqKSzRzNh9m2rJk8otLeKF/FA90DcVRBr2qkeq4OPJ473Ce/34Pc1fuoO7lkyQkJDB48GBiYmJYvnw5gwcPBsDd3Z2YmBiGDRuGk1Npqps0aRKTJ0+25VuochZJ8lrrYiBOKVUP+EEp1eo6q5gppSYCEwGCgoIsEY4QAOw+msWLP+4h8fhFbgtvwCuDW0n/9xooJyeH/Px8fH19OXr0KB8/OZrjO3Yx+s1L5tf4+fkRExND586dWbBgAQaDgbCwMBwcKl7vWRvPvVh8jlel1MvAJWAC0MPUivcHVmutI6617pXmeBXiZp25mMd/Vhzgm21HaeTlyt8HtqR/TONa+Q9e05SUlPDjjz+ayy1Go5G0tDT+9re/8dZbb3H58mX+9Kc/4d2kGZuyPHny7j48OrwnXl61++pkq87xqpRqCBRqrbOUUnWA3sAbwCJgLDDV9HNhZfclxLVk5uTz+YZDfL4+ncLiEh7oEsqU3uF4uTnbOjTxO1lZWezZs8ecyAMCAnj55ZdRSjFp0iQyMzNp0aIFbdq0Ydy4cfTq1QuAOnXqsG7dOkpKNIM/3MDS0wU8Wcfdxu+merNEucYf+NJUl3cAvtVaL1FKbQK+VUqNB44Ad1lgX0L8QfrZS8xYf5D524+RX1TCQIM/T/WNINhXSjO2VlRURGpqKidOnKBnz54A9OvXj2XLlplfU79+ffMJT6UU69evp2nTpri7Xz15OzgonuobwX2fb+XbbUcZ0ynEqu+jJrNE7xoj0PoKyzOBXpXdvhBXs+vIeaavPcgvSadwdnBgaOsmTOgWSvNGtfuru60tXLiQhQsXYjQaSUpKIi8vDx8fH86ePYtSikGDBtGjRw9iY2MxGAwEBARUKKVFRFyzqmt2W3gD2of48P5vqdzVriluznIx25XIFa+iRtFaszo5g49Xp7E1/Rx13Zx4qHszxnUOoVHdmjmHbE1TUFBAcnJyhbp5YmIiycnJuLu7s3HjRpYsWUJsbCyPPPKIuZtimYcfftgicSilePJPLbh7+mbmbD7Mg7eFWWS79sbiJ14rQ068iqvRWrNi3xneW5nCnuMXaFKvDuO7hjIivimertJWsQatNadPnzYn8nvvvRd/f3/effddpkyZAoCLiwvR0dEYDAbefPNN/Pz8KCwsxNm56s6DjJm5haQTF1n79O219liw6olXIaxJa82ypNO8tzKFvScvEuzrzpvDDQxt3QRnR5kOwVLy8vIoLi7Gw8MDo9HIX//6V4xGIxkZGebXREVFMWDAAAYMGEDDhg0xGAxERET8IaFXZYIHePJPEQz5cAOzNhziLz2r/1DEVU2SvKi2thzM5PWf97P7aBahDTz4912xDI4LwEmSe6Xk5eXx22+/ma8GNRqNJCcn89577/Hwww/j7u7OhQsXuPPOO82lFoPBgK9v6RAQzZs3p3nz5jZ+F/8T17QevaP8+HTtQcZ0DMHbXXpTlSflGlHtpJzO5o1f9rNi3xka13Xjr31aMKxNE0nuNyk3N5ekpCRzMo+Li+OBBx7g4sWLeHuXzlsbHBxsTuJDhgyhXbsrfuOv9vaeuEj/99bxaM/mPPmnGztxa0+kXCNqhAuXC5m2LJmvthzGw8WJp/pG8ECXUBkC+Dq01qSnp5OVlUXr1qUd3dq3b8/27dvNg3N5eHjw0EMPAVC3bl02b95MREQE9erVs1XYFhUdUJcBBn8+X3+IcZ1D8PV0tXVI1YYkeWFzWmsWJZzg1SX7OHcpnzEdg3m8dwuZwOMa5s+fz6pVq8zlluzsbNq2bUvZN+E+ffowYMAAcys9NDS0wiX+HTp0sFXoVvNE7xb8vOckn6xJ44UB0bYOp9qQJC9s6mBGDi8tTGRDaiaGQG9m3R9Pqybetg7L5oqLizl48GCFboqnTp1i06ZNAHz33XcsW7YMg8HAfffdh8FgMLfiAV577TVbhW4zzRt5MrR1IP/dVNqd0k+61AKS5IWN5BUW8/HqND5enYarkwOvDm7JPR2Ca+XokOfPnzdf4j9x4kRcXFx4+umnefvtt4HSeUJbtGiBwWCgoKAAFxcXZs6ciYeHh4zH8zuP9wpn4e7jfLgqlVcG3/A4iXZNkryocmsPZPD3hYmkZ+YyKDaAFwdE1YoLmYqKitBa4+zszLp163jjjTcwGo0cPXrU/Jpu3bphMBgYMWIErVq1+sM8oWXKxj8XFQX5ujMivilfbz3CxG5hBNaXcW0kyYsqczYnn38u3svihBOENvBgzvgOdA1vYOuwrOLSpUts3ry5QrklKSmJH3/8kX79+pGfn8+RI0fMSb3s5u/vD5TWzO2xbl4VHu3ZnO92HOP9lam8Mdxw/RXsnCR5USVW7T/DU98lcPFyEVN6hzO5ezO7GGukoKCA/fv3mxN5r1696Nu3LwcPHqR3795A6TyhBoOBRx99lMDAQAB69+6N0Wi0Zeh2y9+7Dvd2COK/mw4zuUezWj+HgCR5YVWFxSVM/Xk/M9cfIsLPizkPdiCycV1bh3XTtNacPHmSy5cv06xZMy5fvkyHDh0qzBPq6upKgwYN6Nu3L5GRkfz6668YDIY/zBMqrO/hHs35ZutR3llxgHdH/mH8xFpFkrywmjPZefzlq11sTT/H2E7BPNc/qka13r/66iu2bdtmbqVnZmYyfPhw5s+fT506dYiNjWXgwIHm0RTDw8PN08w5OzubW/Ki6jX0cmVclxA+WZPGwz2aE9G49o5MKle8CqvYnn6Oh7/aycW8QqYOMzCkdfWb5V5rzZEjRyrUzZ2dnZkzZw4A8fHx7N27l5iYGHPNvEOHDsTHx9s4cnEjsnILuO2NVXRp3oBPxrS1dThWJVe8iir15cZ0Xl2ylyb16/DlA+2J8rd9eSYnJ4fExERSU1MZPXo0AKNGjWLevHnm14SFhdG5c2fz459++gkfHx8cHWvOtw/xP/XcXbi/Swjv/ZZK8qnsWtuar3RLXinVFPgv0BgoAaZrrd9VSvkA84AQIB0YobU+f61tSUu+Zisu0fzf0r18sSGdXpGNePvuOLzrVO1gUSUlJSilUEqxdOlSZs6caZ4ntExWVhbe3t4sXryY48ePYzAYiImJqfXzhNqj85cK6PrGb/SK8uO9UfZbm7d2S74IeFJrvVMp5QXsUEr9CowDVmqtpyqlngWeBZ6xwP5ENZRfVMwT83bz055T3N8lhBcHRFv9wqacnBx2795dYTTFPXv2sGPHDiIiIjh+/DhJSUm0bt2asWPHmmvndeuWfrO48847rRqfsL36Hi6M7hTMZ2sPMqV3OGENa9/1BRavySulFgIfmG49tNYnlVL+wGqt9TWHh5OWfM2UV1jMxNk7WHsggxcHRFl8hp7i4mJSUlLMifyuu+4iNjaWRYsWMXjwYKB0ntCyJD5lyhRCQ0MtGoOouc7m5NP1jd8YaAhg2l2xtg7HKqqsJq+UCqF0vtctgJ/W+iSAKdFLPzI7lFtQxPhZ29l8KJM3/2xgRHzTSm0vMzOT4uJiGjVqxOHDhxk+fDiJiYnk5eUB4OjoSLNmzYiNjaVr164sXboUg8FAkyZN5BJ/cUUNPF0Z1b603/zjvcJp6lO7roK12ADdSilPYAEwRWt98SbWm6iU2q6U2l5+FhpR/WXnFXLfzK1sOZTJf0bE3XSCLy4uZu7cuTz77LP079+fJk2a0KBBA6ZNmwZAw4YNqVevHg8//DCzZs1i586d5OTkcP/99wPg4+ND//79CQwMlAQvrmlSt2Y4KsXHa9Ku/2I7Y5FyjVLKGVgCLNNav21aloyUa+zWhdxC7vtiK0nHL/DeqNb0j/G/6mvLzxNqNBoJCgri1VdfRWtNw4YNuXjxonmeUIPBwO23307btvbd5U1UvRd+2MP87cdY83QP/L3rXH+FGsSq5RpV2oSaCewrS/Ami4CxwFTTz4WV3ZeoHs5dKmDMzC2knM7hk9Ft6R3tB0B+fj779u3j1KlT9OvXD4AePXqwZs0a87oBAQEMGTIEAKUU27ZtIzAwsMrnBRW1z+TuzZi37SifrjnIPwa1tHU4VcYSXSi7AuuAPZR2oQR4ntK6/LdAEHAEuEtrfe5a25KWfPWXkZ3PvZ9t5vC5XD4d05YM4xp++OEHjEYj+/fvp7i4GB8fH86ePYtSis8++4zc3FxzN8UGDexzQDJRMzw1P4FFCSdY/0xPGnrZz+xRVm3Ja63XA1criPaq7PaFbZXNE2o0Gtm6YxffLt9A9smDLN+8hx4RjXh65jY2btxoniO0rORSZsKECTaMXoiKHurRjO92HmPWxkM81TfS1uFUCbniVQCll/gfPnzYXDcfP348/v7+TJ8+nSeeeAIAR5c6ODcMZuCgIcQ0Lq1pTp06lTfffNOWoQtxw8IaetI3ujGzNx3moR7N8XS1/xRo/+9Q/EF2djYAXl5e7Ny5k8cee4w9e/Zw8eL/OkXFx8fj7+/PoEGD8AsI5It9JRzMd2fG2Pb0iPhfb9jy84YKURNM6h7GL0mn+GbrEYtf01EdyX+onbt8+TILFizg5ZdfZujQoTRr1oy6deuaB+GqW7cuSilGjx7Np59+yqZNm8jOzqZv374ABDQNZvGFQNLyPfngnrYVErwQNVHroPp0CPVh5vpDFBSVXH+FGk5a8nai/DyhRqOR+Ph4JkyYQGFhIcOHDzfPE9quXTseeOAB80BczZs3Z926dVfcZmFxCY98tZONaZm8PSKWfq2u3k1SiJpkco9m3P/FNhYlnGB420Bbh2NVkuRrmKKiIlJSUsjOzqZ9+/YAxMTEkJiYaH6Nj4+PeaKKunXrsmvXLlq0aIG7+81d6ffPxUms3H+GV4e0Ylgb+/5HELVLjxYNiWzsxfS1aQxr3QQHO55AXpJ8DTBnzhxWrlxpnic0Pz+fdu3asW3bNgCGDx/OmDFjKswTWv4K0Li4uJve5383pTNn8xEmdQ9jTMdgS70VIaoFpRSTuofxxLwEViWfoVeUn61DshqZNKQaKJsntPxoihkZGezcuROAESNGsG7dOnMSj42NJS4ujlatWlklno2pZxnz+VZuj2jIp2PaWX00SSFsobC4hB5vraZJvTp8O7mTrcOpFJk0pJoomye0LJFPmTIFFxcXnn76ad59912gdJ7Qli1bEhsbS2FhIc7OzsyePRtX16q5cOPMxTwe+2YXoQ08eGdka0nwwm45OzowvmsoryzZy47D52kbXN/WIVmFJHkruXz5Mo6Ojri4uPDbb7/x2muvYTQaOXv2rPk1AwYMoGXLlowePZqOHTtiMBho0aKFeZ7QMlWV4IuKS3jsm11cyi9m7oQ2taIPsajd7o5vyrsrU5i+No1Px1yxIVzjyX+xBWRnZ7NmzRqMRqO55HLgwAGWLl1Kv3790FqTk5NT4YrQmJgYfHx8AGjXrh3t2tn+AHt3ZQqbD55j2l2xtPCTWZKE/fNwdeLeDkF8vCaNw5mXCPb1sHVIFidJ/iZcunSJxMREczLv378//fv3Jz093TzLUGhoKAaDgbvuuouQkBAAevXqxZYtW2wY+fWtPZDBB6tSuattoN13KROivLGdQ/hs3UE+X3+Ifw62znkuW5IkfwUlJSUcOnSIoqIiIiIiuHTpEnFxcaSlpVF2otrLy4tmzZrRv39/IiMj2bBhA61atTJPLVeTnL6YxxPzdhPeyJNX7PAgF+Ja/Oq6MSi2Cd9uP8YTfVpQz93F1iFZlCR5k5kzZ7Jt2zbzPKE5OTncddddfPvtt3h4eNC9e3fuu+8+c7klODjYfEm/s7Oz+eKimqakRPPY17u4XFjMR/e2oY6Lo61DEqLKPXhbKAt2HuOrLUd45Pbmtg7HompNki8uLiY1NbXC5BVubm7MmzcPgE8++YTU1FRiY2O5//77MRgM5ouNAGbMmGGr0K3q8w2H2HLoHG8ON9C8kdThRe0U5V+Xrs0b8OXGdCbcFoaLk/2M+GKXST4zM5M9e/aQlpbG+PHjgdK+5t9//z1QOk9oREQEXbp0Ma+zYsUK8zgutUXK6WzeXJZM7yg/7pI6vKjlHrwtlHFfbGNxwgn+bEf/D5aa/u9zYCBwRmvdyrTMB5gHhADpwAit9flrbacyF0P9+OOPTJ8+HaPRyPHjx83LL1y4QN26dfn55585c+YMBoOBqKgo3Nzcbmk/9qKwuIRhH23keNZllk3pZlcTKAhxK7TW9H1nLQ5K8fPjt9WoBl9VXAw1C/gA+G+5Zc8CK7XWU5VSz5oeP2Oh/f3B2bNnOX78OD179jTXzQ0GA15epSWIO+64w1q7rpE+WpXGnuMX+PjeNpLghaB0qIMHu4bx9AIjG1Iz6RpuH7OYWWxYA6VUCLCkXEteJvKupvYcu8DQjzYw0ODPOyNb2zocIaqNvMJiur7xG62aeDPr/vbXX6GauFZL3ppnF/y01icBTD9lIPJqIK+wmL9+uxtfTxf+OUi6SwpRnpuzI/d1CmF1cgYpp7NtHY5F2PwUslJqolJqu1Jqe0ZGhq3DsXv/+mkfKWdyeOPPBrzdnW0djhDVzuiOwbg5OzBj3SFbh2IR1kzyp01lGkw/z1zpRVrr6Vrrdlrrdg0bNrRiOGJZ0in+u+kwD3YNlRmehLgKHw8X/twmkB92HScjO9/W4VSaNZP8ImCs6f5YYKEV9yWu43jWZZ7+zkhME2+e7lc7ZqkX4lY90DWUguISZm8+bOtQKs0iSV4p9TWwCYhQSh1TSo0HpgJ9lFIpQB/TY2EDuQVFTPzvdopLNO+Pam1XF3oIYQ3NGnrSO6oRczYfJq+w2NbhVIpF/tu11qO01v5aa2etdaDWeqbWOlNr3UtrHW76ec4S+xI3p6RE8+S3Cew9eZH3R7UmpIH9jbInhDU8eFsY5y4VsGDnMVuHUinSpLNz05Yn83PiKZ6/I4rbI6UOL8SN6hDqQ0wTb2auO0RJSfWZQe9mSZK3Y9PXpvHR6jRGtW/Kg7eF2jocIWoUpRQP3hbKwbOXWJV8xX4jNYIkeTs1d8sR/vXTfgbE+PN/Q2Jq1CXaQlQX/WP88fd247N1B20dyi2TJG+Hpq9N4/kf9tAjoiH/uTtO5mkV4hY5Ozpwf5cQNh88R+LxC7YO55ZIkrcjxSWa13/ax79+2k//mMZ8Oqat9KQRopJGtg/C09WpxrbmJQPYibM5+Yz7Yiufrj3I6I5BvD+qDa5OMgGIEJVV182Zu+ObstR4khNZl20dzk2zy/Hkq4uM7Hy2pZ9j/8mLHD1/maISjYMqnW4swNuNgHp1CKhXhyb16lDP3fmW6uZaa5bvPc3fFyZyPreQqcNiuDu+qdTghbCgcZ1D+GLDIb7cmM5z/aNsHc5NkSRvBVsOZvLlpnSWJ502J3Z/7zq4ODlQXKI5fTGP/KKSCuu4uzgS5ONO80aetPDzIryRJ+F+XoT4uuPk+McvXFprdh7J4r2VKaw5kEELP08+HxdPywDvqnqbQtQaTX3cuSPGn7lbj/Bor3A8XWtO6qw5kdYA+09d5PWf9rPmQAb13J25v0sIAw0BRDT2ws35f6UTrTWZlwo4kXWZE1mXOZ6Vx/HzlzmceYmEY1ksMZ40v9bZURHWwJNwP0/CG3nh6ADHs/LYlHaW9MxcvFydeGlgNPd1Csb5Ch8GQgjLmHBbGEuNJ5m37Sjju9acLsmS5C3gUn4Rb/96gC82HMLT1YkX+kcxplNwhcRenlKKBp6uNPB0xRBY7w/P5xYUkXbmEgdOZ3PgTDYpp3MqJH9fDxci/b145Pbm3BHjX6NaFULUVHFN6xEfUp8vNhxibKfgK37Dro4kO1TSqv1nePHHRI5nXebeDkE81TeCeu4uldqmu4sTMYHexARWLL3kFhShUNRxkROqQtjC+K5hTJ6zg2VJpxlg8Ld1ODdEkvwtysjO55Ule1mccILmjTyZP7kT8SE+Vt2nu4v8uYSwpT7RfgT7uvPZuoP0j2lcIzo4SNa4ScUlmrlbDvPmsmTyC0v4a58WTOoeJt0VhagFHB0U47uG8veFSew4fJ52Vm7YWULNKCpVE3uOXWDYRxt4aWEShkBvfp5yG4/1CpcEL0QtMrxtIN51nGvMzFHSkr8BJ7Iu8/HqNL7achhfT1feHRnHoNiAGvFVTQhhWe4uTtzbIYiP16RxOPMSwb7Ve/huSfJXUVKi2X74PPO3H+XH3cfRGsZ0DObJvhHUdZO5UYWozcZ2DuGzdQf5fP0h/jm4la3DuSarJ3mlVD/gXcARmKG1rrYzRGmt2Xcym4UJx1m8+wQnLuRRx9mRe9oHMaFbGIH13W0dohCiGvCr68ag2CZ8u/0YT/RpUekeddZk1SSvlHIEPqR0+r9jwDal1CKt9V5r7vdmnM3Jx3gsi/Upmfy2/zTpmbk4OSi6t2jIM3dE0ifaT3q1CCH+4MHbQlmw8xhztx7h4R7NbR3OVVk7e7UHUrXWBwGUUt8AgwGLJnmtNQXFJRQVa4qKNYUlpfcLi0soLC7hUn4xpy7mcdp0O3Uhj8PncjmceYnTF0tnY3dxcqBLM18evC2M/jH++HhU309mIYTtRfnX5bbwBny5MZ0Hu4ZV2xFfrZ3kmwBHyz0+BnSw9E52H81i6Ecbb+i1CvB2VTTycKBFXUd6B9YhrL4jod5OuDkVQclx9icct3SIQgg71Nm3kHUp+by9YA3dmrpWbludO1soqoqsneSv1P2kwmSJSqmJwESAoKCgW9pJk3p1eKpvBMeOHsFJgaMDOCqFowM4KXB1UtR3c8DHzQFvVyWTaAghLMLQ0IlALwd+SsvntkCXatnjztpJ/hjQtNzjQOBE+RdoracD0wHatWt3S7PlNqrrxiO3Nweqb11MCGGfHnM5ytMLjOAXQefmDWwdzh9Yu4i0DQhXSoUqpVyAkcAiK+9TCCGqzODWATTwdK22M0dZNclrrYuAvwDLgH3At1rrJGvuUwghqpKrkyP3dQpmdXIGB05n2zqcP7D66WCt9U9a6xZa62Za69esvT8hhKhqYzoGU8fZkU/WpNk6lD+onn1+hBCiBqnv4cKo9kEs2n2CY+dzbR1OBZLkhRDCAh68LRSlqHYDl0mSF0IICwioV4chcU34ZtsRMnPybR2OmSR5IYSwkEndw8gvKuHLjem2DsVMkrwQQlhI80Ze/Cnaj1kb08nJL7J1OIAkeSGEsKjJ3ZtxMa+Ir7ccsXUogCR5IYSwqNZB9ekU5suM9QfJLyq2dTiS5IUQwtIe6tGM0xfz+WGn7Qc7lCQvhBAWdlt4A1o1qcvHa9IoKi6xaSyS5IUQwsKUUjzaM5zDmbksNp64/gpWJEleCCGsoE+UH5GNvXj/t1SKS25pgF2LkCQvhBBW4OCg+EvP5hzMuMRPe07aLg6b7VkIIezcHa38adbQgw9+S6XERq15SfJCCGEljqbWfPLpbJbvPW2TGCTJCyGEFd1pCCDY1533f0tB66pvzVcqySul7lJKJSmlSpRS7X733HNKqVSlVLJSqm/lwhRCiJrJydGBR3o0J+nERVYln6ny/Ve2JZ8IDAPWll+olIqmdKq/lkA/4COllGMl9yWEEDXS0DZNaFKvDu+tTK3y1nylkrzWep/WOvkKTw0GvtFa52utDwGpQPvK7EsIIWoqZ0cHHr69GbuPZrE+9WyV7ttaNfkmwNFyj4+ZlgkhRK00vG0g/t5uvLeyamvz103ySqkVSqnEK9wGX2u1Kyy74rtSSk1USm1XSm3PyMi40biFEKJGcXVyZFK3MLaln2fzwXNVtt/rJnmtdW+tdasr3BZeY7VjQNNyjwOBK17bq7WerrVup7Vu17Bhw5uLXgghapCR7YNo4OnK+7+lVNk+rVWuWQSMVEq5KqVCgXBgq5X2BcDq1at5/vnnmTdvHvv27aOoqHoM2C+EEGXcnEtb8xvTMtlxuGpa85XtQjlUKXUM6AQsVUotA9BaJwHfAnuBX4BHtNZWHVh5+/btvPXWW4wcOZLo6Gg8PT1p27YtFy9eBODo0aOcPVu1JzyEEOL37u0YhI+HC++tTK2S/SlbdM6/mnbt2unt27ff8vr5+fns378fo9GI0WgkLS2NBQsWoJRizJgxzJkzB39/fwwGAwaDgTZt2jBy5EgLvgMhhLi+j1an8uYvySx8pAuxTetVentKqR1a63ZXfM6ekvy1bN68mY0bN5o/AJKSkoiIiMBoNAIwceJELl++bP4AMBgMNG7cGKWudA5ZCCFuXU5+EV2m/kZ8iA8zxl4xN9+UayV5p0pvvYbo2LEjHTt2ND8uLCykfG+e3Nxc1qxZw5w5c8zLhg8fzvz58wH47rvvCAsLIzo6Gjc3t6oLXAhhdzxdnXigSyj/WXGAvScuEh1Q12r7qjUt+Rt17tw59uzZQ0JCAgEBAQwfPpzc3Fy8vLwoKSnB0dGRFi1aYDAYGDNmDAMGDDD3eZVWvxDiRl24XEjXqb9xW4sGfHRv20ptS1ryN8HHx4fu3bvTvXt38zI3Nzf27dtnLvUkJCSwZcsWOnXqBMDhw4dp3bp1hVKPwWAgJiYGd3d3W70VIUQ15l3HmbGdQ/hwdSopp7MJ9/Oyyn6kJV8JWmuUUqSnp/PGG2+YPwRycnIAmDdvHiNGjGDfvn3Mnz/fnPxDQkJwcJABQIWo7c5dKqDrG7/RJ9qPd0e2vuXtSEveSsrKMyEhIXz88ccAlJSUkJ6ejtFoNLf0d+zYwT/+8Q9zWcfLy4uYmBhmz55NWFgY586dw8nJibp1rVeXE0JUPz4eLozpGMxn6w7yeK9wwhp6Wnwf0py0MAcHB8LCwhgyZAh+fn4AjB49muzsbDZv3sz06dMZO3Ysjo6O+Pr6AvDOO+/g7e1NaGgogwcP5qWXXuK7776TC7qEqAUevC0MFycHPlyVZpXtS7mmGti2bRsrVqwgISEBo9FIcnIyHh4eZGVl4eDgwOuvv05aWlqFer+Pj4+twxZCWMjsTekE+XrQvcWtDe0i5ZpqLj4+nvj4ePPjy5cvc+TIEXPd/vjx4yxcuJCZM2eaX9OtWzfWrFkDlA7p0LBhQ1q0aIGzs3PVBi+EqLQxnUKstm1pydcQWmtOnTplPrnr6urKY489BkBgYCDHjx/HxcWFli1bYjAYGDhwIMOHD7dx1EKIqiAteTuglMLf3x9/f3/69q04m+JPP/1kTv5Go5Hly5fj7e3N8OHDKSgooHnz5kRGRhIbG2su90RGRuLq6mqjdyOEqCqS5O1AWeIur7CwEICcnBx69eqF0Wjk/fffJz8/H4DXX3+dZ599lrNnzzJz5kzzNgICAuSiLiHsiCR5O1VWm/fx8eGLL74AoKioiNTUVIxGI7GxsQAYjUaeffZZ83o+Pj4YDAbefPNN4uPjyc3NBZCLuoSooSTJ1yJOTk5ERkYSGRlpXtazZ0/Onz/Pnj17KpR86tSpA8A333zDhAkTCA8Pr9C7p3fv3pL4hagB5MSruKaEhAR++OGHCsM3A5w5c4aGDRsye/ZsNm/ebE7+rVq1wsvLOpdnCyGuTE68ilsWGxtrLu0AZGdns2/fPsqmajxw4ABz5swxT84CEB0dTWJiIkopdu/ejaenJ2FhYTKUgxA2UKmWvFLqLeBOoABIA+7XWmeZnnsOGA8UA49prZddb3vSkq+ZtNYcOXLE3Nq/ePEib7zxBgBdu3Zlw4YNeHh40KpVKwwGA926dWP06NE2jloI+2G1SUOUUn8CftNaFyml3gDQWj+jlIoGvgbaAwHACqDF9aYAlCRvf3bv3s3OnTsrjODZpUsXFi1aBJRe1OXt7V2h3h8eHo6Tk3zJFOJGWa1co7VeXu7hZqDs6pvBwDda63zgkFIqldKEv6ky+xM1T1xcHHFxcebHWmtzj53i4mKCgoJISEjgl19+MY/V89BDD/HRRx9RXFzMBx98QExMDAaDgQYNGtjiLQhRo1myufQAMM90vwmlSb/MMdMyUcsppfDw8ADA0dHRPBNXfn6+ecz+5s2bA3Dw4EGmTJliXrdsft6//e1v9O7dm6KiIkpKSnBxcany9yFETXHdJK+UWgE0vsJTL2itF5pe8wJQBHxVttoVXn/FupBSaiIwESAoKOgGQhb2yNXV9Q+t/vDwcE6dOmWeqaus5FN2Qde6devo27cvUVFR5lJPbGwsnTp1kh4+QphUugulUmosMBnopbXONS17DkBr/brp8TLgH1rra5ZrpCYvbkZycjKzZs0yfwAcP34cgK1btxIfH89vv/3GkiVLzB8AMj+vsFdWq8krpfoBzwDdyxK8ySJgrlLqbUpPvIYDWyuzLyF+LyIigtdff938ODMzkz179hATEwNAYmIin3zyCZcvXwZKy0MRERFs2LCBevXqcfDgQZydnQkMDJShHITdqmzvmlTAFcg0LdqstZ5seu4FSuv0RcAUrfXP19uetOSFpRUXF5uHcjAajaSmpjJ37lyUUowZM4Y5c+ZQv359c2u/TZs2jBs3ztZhC3FTrNaF0tIkyYuqtGvXLjZt2mT+ANizZw+hoaEYjUYA7r//frKzs821foPBQHBwsFzUJaodueJViCto3bo1rVv/b/LkkpISzp07Z37s5OREQkIC33//vXl+3kGDBrFw4UIAvvrqK0JCQoiJiZH5eUW1JUleCBMHB4cKffE/++wzoHS45qSkJIxGo3k4h8uXL3PfffdRUlICQGhoKAaDgXHjxjFkyBC01pSUlODo6Fj1b0SIciTJC3Ednp6edOjQgQ4dOpiXubm5cejQoQojdxqNRo4ePQrAkSNHiI6ONg/lUL7mL907RVWSmrwQVnD06FHefvtt81AOmZmlfRPmzZvHiBEj2Lt3L3PmzDEn/xYtWshQDuKWSU1eiCrWtGlT/vOf/wAV5+dt06YNAHv27GHatGnmGbxcXV2Jjo5m3rx5hIeHc+bMGQAaNWpkmzcg7IYkeSGsrPz8vGXuvvtuhg4dSnJycoXB28qS+gcffMCrr76Kn59fhXLPqFGjzLN+CXEjpFwjRDWUkJDAqlWrzB8AiYmJODs7c+HCBRwcHHjllVdITk6u8AEg8/PWXlKuEaKG+f1kLUVFRRw7dszcR//ixYusX7+euXPnml/Tvn17tmzZAsCyZcvw9fWlZcuW5qkcRe0kLXkharDy8/M6OTkxefJkAAIDAzl+/DgODg7m+XkHDRpknqxFay2tfjsiLXkh7FT9+vXp1q0b3bp1q7B81apV5uSfkJDAjh07CAgIYPTo0RQUFBAYGEhERESFck9MTAyenp42eifCWqQlL0QtUVJSgoODA1lZWbzwwgvm0Tuzs7MBmDp1Ks888wwZGRl8+OGH5uQv8/NWf9KSF0KYE3W9evX48MMPgdKyzeHDhzEajURFRQGwd+9eXnnlFfNQDh4eHsTExPCf//yHjh07kpOTQ1FREfXq1bPJ+xA3R5K8ELWYUoqQkBBCQkLMy7p3715hKIeyW1kpZ/78+TzwwAMEBQVVGLytf//+Uu6phqRcI4S4KUlJSSxevNic/Pfv309xcTFnzpyhYcOGzJo1i7Vr15o/AGJiYmR+XiuTco0QwmJatmxJy5YtzY/z8/PZv3+/efC2Y8eOsWTJEr744gvza8LCwkhNTUUpxbZt23BzcyMyMlIu7KoClZ005FVgMFACnAHGaa1PmJ57DhgPFAOPaa2XXW970pIXwn6cPn3a3NrPysri1VdfBaBr165s2LABZ2dnoqOjMRgMdO/enfHjx9s44prLapOGKKXqaq0vmu4/BkRrrScrpaKBr4H2lE7/twJoobUuvtb2JMkLYf/27dvHrl27KtT7W7duzeLFiwHo2LEjXl5eFbp3RkVFyfy812C1ck1ZgjfxAMo+MQYD32it84FDpmkC2wPXnMhbCGH/oqKiiIqK4p577jEvKygoAEq7ebZq1YqEhAQ++ugj8vLyAJg4cSKffvopxcXFTJs2jZiYGAwGA02aNJGLuq6j0jV5pdRrwH3ABeB20+ImwOZyLztmWiaEEH/g4uIClHbznDFjBlBxft6goCAA0tPTefbZZ83rlc3P+8wzz3DHHXdQWFhIYWEh7u7uVf8mqqnrJnml1Aqg8RWeekFrvVBr/QLwgqkG/xfgZeBKH61XrAsppSYCEwHzH1IIIRwdHYmIiCAiIsK8rFmzZpw/f57ExMQKo3eWlZ03bNhAz549zUM5lN26d+9ea/v1W6wLpVIqGFiqtW5lSvhorV83PbcM+IfW+prlGqnJCyEqIzU1la+++sr8AZCamgrA1q1biY+PZ8WKFXz//fcVhnKwh5m6rFaTV0qFa61TTA8HAftN9xcBc5VSb1N64jUc2FqZfQkhxPU0b96cl19+2fw4JyeHxMREYmJiAEhJSWHu3Ll8/PHH5teEhoayY8cO6tevT0pKaToLCwuzm/l5K9u7ZgEQQWkXysPAZK31cdNzLwAPAEXAFK31z9fbnrTkhRDWprXm6NGj5lJPSkoKX3zxBUop7rvvPmbPno27u7t5ft62bduaR/esrqzWhdLSJMkLIWxp7969bN261fwBkJCQgL+/P3v27AHg3nvvJSsrq0K9PyIiwubz88oVr0IIcQOio6OJjo42P9Zam0fpBPD19SUxMZFff/3VPD/vHXfcwU8//QTA559/bh7Tp7rMzytJXgghrkIpRd26dc2P33vvPaC0X//+/fsxGo3mXjt5eXlMmDCBkpISAPz8/IiNjWX8+PGMGDECrTUFBQW4urpW6XuQJC+EEDfJxcXFXK4p4+bmxqlTpypcyWs0GsnIyADgyJEjNG/enMjISPO6sbGxdOjQgfr161stVqnJCyFEFThx4gQffvihebKWo0ePAjBv3jxGjBhRqW1LTV4IIWwsICCA1157zfy4bH7e8ucArEGSvBBC2EDZ/LzWJhM3CiGEHZMkL4QQdkySvBBC2DFJ8kIIYcckyQshhB2TJC+EEHZMkrwQQtgxSfJCCGHHqtWwBkqpDErHpa9KDYCzVbzPq5FYrq46xSOxXF11iqc2xRKstW54pSeqVZK3BaXU9quN+VDVJJarq07xSCxXV53ikVhKSblGCCHsmCR5IYSwY5LkYbqtAyhHYrm66hSPxHJ11SkeiQWpyQshhF2TlrwQQtgxu0vySqnPlVJnlFKJ5ZbFKqU2KaX2KKUWK6Xqmpbfq5TaXe5WopSKU0q5K6WWKqX2K6WSlFJTbRWL6TkXpdR0pdQBU0x/roJ4nJVSX5qW71NKPVdunbam5alKqfeUUspWsZRbd1H5bdkiFqXUKNNyo1LqF6VUgyqIx0Up9YVpeYJSqodpuS2O4SvGUu65Sh3DSqmmSqlVpt97klLqcdNyH6XUr0qpFNPP+uXWec50nCYrpfqWW16pY9iSsZR7/paP4WvSWtvVDegGtAESyy3bBnQ33X8AePUK68UAB0333YHbTfddgHXAHbaIxfT4n8D/me47AA2s/bsB7gG+Kff7SAdCTI+3Ap0ABfxs7d/NtWIxLRsGzC2/raqOhdIJeM6U/W2AN4F/VEE8jwBfmO43AnaYjpEqP4avFouljmHAH2hjuu8FHACiTb/rZ03LnwXeMN2PBhIAVyAUSAMcLXEMWzIWSxzD14zV0husDjfTP135g/Ii/zv/0BTYe4V1/gW8dpXtvQtMsFUswFHAoyp/N8AoYDGlycvXdBD7mA7u/eXWHwV8aotYTM95AutN/0S3/A9igd+LM5ABBJsSxyfAxCqI50NgdLnXrQTa2+IYvlYsljyGy21/IdAHSAb8Tcv8gWTT/eeA58q9fhmlid1ix3BlY7HkMXy1m92Va64iERhkun8XpQfm790NfP37hUqpesCdlB6wVR6Laf8Aryqldiql5iul/CwUy7Xi+Q64BJwEjgDTtNbngCbAsXLrHzMts0UsAK8C/wZyLRTDLcWitS4EHgL2ACco/YedWQXxJACDlVJOSqlQoC2/O6aq8Bi+YizWOIaVUiFAa2AL4Ke1Pglg+tnI9LImlH64lCk7Vi16DFcyFrDeMQzYYU3+Kh4AHlFK7aD0q1VB+SeVUh2AXK114u+WO1GabN/TWh+0USxOQCCwQWvdBtgETLNQLNeKpz1QDARQ+vXySaVUGKWt1N+zVBetm4pFlZ6zaK61/sFC+69MLM6UJvnWpueMlLberB3P55QmjO3AO8BGoKhspSo+hq8Wi0WPYaWUJ7AAmKK1vnitl15hmb7G8iqPxcrHMFBLJvLWWu8H/gSglGoBDPjdS0ZyhVY8pX1bU7TW79gwlkxKP+HLDoL5wPgqiOce4BdTC/WMUmoD0I7S2m5guU0EUtpytUUsvkBbpVQ6pcdyI6XUaq11DxvFgtY6zbTOt5TWZC3iavForYuAJ8pep5TaCKSUW7XKjuFrxGKxY9j0YboA+Epr/b1p8WmllL/W+qRSyp/ScyNQ+oFT/ltN2bF6DAscwxaKpRNWOobL1IqWvFKqkemnA/AipfVSyi27C/jmd+v8H+ANTLFlLLq0aLcY6GFa1AvYWwXxHAF6qlIeQEdK65gngWylVEdTj4T7KK1H2iKWj7XWAVrrEKArcMBS/xw3GwtwHIhWSpUNEtUH2GeJWK4VjyrtReNhut8HKNJa7zU9rtJj+GqxWOoYNh1vM4F9Wuu3yz21CBhruj+W/x2Pi4CRSilXU/koHNhqiWPYgrFY7Rg2s3SR39Y3SlvBJ4FCSj89xwOPU3qC7AAwFdNJI9PrewCbf7eNQEq/vu0DdptuD9oiFtPyYGAtpSWAlUCQtX83lJ4Mmg8kUfoP+VS57bSjtC6bBnxQ/j1UdSzlthfCrfeusdTvZbLpmDFSmtR8qyCeEEpP9u0DVlA6GqFNjuGrxWKpY5jSJKhN2yh7T/0p/Ra1ktJvDSsxnZQ3rfOC6ThNplwPmsoew5aMxRLH8LVucsWrEELYsVpRrhFCiNpKkrwQQtgxSfJCCGHHJMkLIYQdkyQvhBB2TJK8EELYMUnyQghhxyTJCyGEHft/DnB08pAYyxoAAAAASUVORK5CYII=\n", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:21.489499Z", "iopub.status.busy": "2021-02-02T06:51:21.488076Z", "iopub.status.idle": "2021-02-02T06:51:21.818630Z", "shell.execute_reply": "2021-02-02T06:51:21.819028Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": "2021-02-02T06:51:21.822051Z", "iopub.status.busy": "2021-02-02T06:51:21.821373Z", "iopub.status.idle": "2021-02-02T06:51:21.855313Z", "shell.execute_reply": "2021-02-02T06:51:21.855787Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -144.600\n", "Date: Tue, 02 Feb 2021 R-squared: 0.989\n", "Time: 06:51:21 AIC 297.200\n", "Sample: 01-01-1951 BIC 302.075\n", " - 01-01-1975 HQIC 298.552\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "const -4839.5034 2412.409 -2.006 0.045 -9567.739 -111.268\n", "COPPERPRICE 5.9799 12.704 0.471 0.638 -18.920 30.880\n", "INCOMEINDEX 1.115e+04 666.308 16.738 0.000 9847.007 1.25e+04\n", "ALUMPRICE 5.9799 12.704 0.471 0.638 -18.920 30.880\n", "INVENTORYINDEX 241.3425 2298.951 0.105 0.916 -4264.518 4747.203\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", "[2] Covariance matrix is singular or near-singular, with condition number 1.86e+19. Standard errors may be unstable.\n" ] } ], "source": [ "endog = dta['WORLDCONSUMPTION']\n", "exog = sm.add_constant(dta[['COPPERPRICE', 'INCOMEINDEX', 'ALUMPRICE', 'INVENTORYINDEX']])\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": "2021-02-02T06:51:21.858823Z", "iopub.status.busy": "2021-02-02T06:51:21.858139Z", "iopub.status.idle": "2021-02-02T06:51:21.899178Z", "shell.execute_reply": "2021-02-02T06:51:21.899619Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -144.600\n", "Date: Tue, 02 Feb 2021 R-squared: 0.989\n", "Time: 06:51:21 AIC 297.200\n", "Sample: 01-01-1951 BIC 302.075\n", " - 01-01-1975 HQIC 298.552\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "Intercept -4839.5034 2412.409 -2.006 0.045 -9567.739 -111.268\n", "COPPERPRICE 5.9799 12.704 0.471 0.638 -18.920 30.880\n", "INCOMEINDEX 1.115e+04 666.308 16.738 0.000 9847.007 1.25e+04\n", "ALUMPRICE 5.9799 12.704 0.471 0.638 -18.920 30.880\n", "INVENTORYINDEX 241.3425 2298.951 0.105 0.916 -4264.518 4747.203\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", "[2] Covariance matrix is singular or near-singular, with condition number 1.86e+19. Standard errors may be unstable.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/base/tsa_model.py:527: ValueWarning: No frequency information was provided, so inferred frequency AS-JAN will be used.\n", " % freq, ValueWarning)\n" ] } ], "source": [ "mod = sm.RecursiveLS.from_formula(\n", " 'WORLDCONSUMPTION ~ COPPERPRICE + INCOMEINDEX + ALUMPRICE + INVENTORYINDEX', dta,\n", " constraints='COPPERPRICE = ALUMPRICE')\n", "res = mod.fit()\n", "print(res.summary())" ] } ], "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 1 }