{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating or specifying parameters in state space models\n", "\n", "In this notebook we show how to fix specific values of certain parameters in statsmodels' state space models while estimating others.\n", "\n", "In general, state space models allow users to:\n", "\n", "1. Estimate all parameters by maximum likelihood\n", "2. Fix some parameters and estimate the rest\n", "3. Fix all parameters (so that no parameters are estimated)\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:25.517023Z", "iopub.status.busy": "2024-04-19T16:38:25.516785Z", "iopub.status.idle": "2024-04-19T16:38:30.605282Z", "shell.execute_reply": "2024-04-19T16:38:30.604036Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from importlib import reload\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "\n", "from pandas_datareader.data import DataReader" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To illustrate, we will use the Consumer Price Index for Apparel, which has a time-varying level and a strong seasonal component." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:30.609694Z", "iopub.status.busy": "2024-04-19T16:38:30.608756Z", "iopub.status.idle": "2024-04-19T16:38:32.288094Z", "shell.execute_reply": "2024-04-19T16:38:32.287418Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "endog = DataReader('CPIAPPNS', 'fred', start='1980').asfreq('MS')\n", "endog.plot(figsize=(15, 3));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is well known (e.g. Harvey and Jaeger [1993]) that the HP filter output can be generated by an unobserved components model given certain restrictions on the parameters.\n", "\n", "The unobserved components model is:\n", "\n", "$$\n", "\\begin{aligned}\n", "y_t & = \\mu_t + \\varepsilon_t & \\varepsilon_t \\sim N(0, \\sigma_\\varepsilon^2) \\\\\n", "\\mu_t &= \\mu_{t-1} + \\beta_{t-1} + \\eta_t & \\eta_t \\sim N(0, \\sigma_\\eta^2) \\\\\n", "\\beta_t &= \\beta_{t-1} + \\zeta_t & \\zeta_t \\sim N(0, \\sigma_\\zeta^2) \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "For the trend to match the output of the HP filter, the parameters must be set as follows:\n", "\n", "$$\n", "\\begin{aligned}\n", "\\frac{\\sigma_\\varepsilon^2}{\\sigma_\\zeta^2} & = \\lambda \\\\\n", "\\sigma_\\eta^2 & = 0\n", "\\end{aligned}\n", "$$\n", "\n", "where $\\lambda$ is the parameter of the associated HP filter. For the monthly data that we use here, it is usually recommended that $\\lambda = 129600$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:32.291253Z", "iopub.status.busy": "2024-04-19T16:38:32.290879Z", "iopub.status.idle": "2024-04-19T16:38:32.311313Z", "shell.execute_reply": "2024-04-19T16:38:32.310715Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['sigma2.irregular', 'sigma2.level', 'sigma2.trend']\n" ] } ], "source": [ "# Run the HP filter with lambda = 129600\n", "hp_cycle, hp_trend = sm.tsa.filters.hpfilter(endog, lamb=129600)\n", "\n", "# The unobserved components model above is the local linear trend, or \"lltrend\", specification\n", "mod = sm.tsa.UnobservedComponents(endog, 'lltrend')\n", "print(mod.param_names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The parameters of the unobserved components model (UCM) are written as:\n", "\n", "- $\\sigma_\\varepsilon^2 = \\text{sigma2.irregular}$\n", "- $\\sigma_\\eta^2 = \\text{sigma2.level}$\n", "- $\\sigma_\\zeta^2 = \\text{sigma2.trend}$\n", "\n", "To satisfy the above restrictions, we will set $(\\sigma_\\varepsilon^2, \\sigma_\\eta^2, \\sigma_\\zeta^2) = (1, 0, 1 / 129600)$.\n", "\n", "Since we are fixing all parameters here, we do not need to use the `fit` method at all, since that method is used to perform maximum likelihood estimation. Instead, we can directly run the Kalman filter and smoother at our chosen parameters using the `smooth` method." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:32.314408Z", "iopub.status.busy": "2024-04-19T16:38:32.313993Z", "iopub.status.idle": "2024-04-19T16:38:32.420071Z", "shell.execute_reply": "2024-04-19T16:38:32.419462Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "==============================================================================\n", "Dep. Variable: CPIAPPNS No. Observations: 531\n", "Model: local linear trend Log Likelihood -2983.579\n", "Date: Fri, 19 Apr 2024 AIC 5973.158\n", "Time: 16:38:32 BIC 5985.971\n", "Sample: 01-01-1980 HQIC 5978.173\n", " - 03-01-2024 \n", "Covariance Type: opg \n", "====================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------------\n", "sigma2.irregular 1.0000 0.009 115.324 0.000 0.983 1.017\n", "sigma2.level 0 0.000 0 1.000 -0.000 0.000\n", "sigma2.trend 7.716e-06 1.99e-07 38.679 0.000 7.33e-06 8.11e-06\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 250.83 Jarque-Bera (JB): 1.71\n", "Prob(Q): 0.00 Prob(JB): 0.43\n", "Heteroskedasticity (H): 2.34 Skew: 0.05\n", "Prob(H) (two-sided): 0.00 Kurtosis: 2.74\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "res = mod.smooth([1., 0, 1. / 129600])\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimate that corresponds to the HP filter's trend estimate is given by the smoothed estimate of the `level` (which is $\\mu_t$ in the notation above):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:32.427177Z", "iopub.status.busy": "2024-04-19T16:38:32.426803Z", "iopub.status.idle": "2024-04-19T16:38:32.431339Z", "shell.execute_reply": "2024-04-19T16:38:32.430748Z" } }, "outputs": [], "source": [ "ucm_trend = pd.Series(res.level.smoothed, index=endog.index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easy to see that the estimate of the smoothed level from the UCM is equal to the output of the HP filter:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:32.434876Z", "iopub.status.busy": "2024-04-19T16:38:32.434367Z", "iopub.status.idle": "2024-04-19T16:38:33.455706Z", "shell.execute_reply": "2024-04-19T16:38:33.455026Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 3))\n", "\n", "ax.plot(hp_trend, label='HP estimate')\n", "ax.plot(ucm_trend, label='UCM estimate')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adding a seasonal component" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, unobserved components models are more flexible than the HP filter. For example, the data shown above is clearly seasonal, but with time-varying seasonal effects (the seasonality is much weaker at the beginning than at the end). One of the benefits of the unobserved components framework is that we can add a stochastic seasonal component. In this case, we will estimate the variance of the seasonal component by maximum likelihood while still including the restriction on the parameters implied above so that the trend corresponds to the HP filter concept.\n", "\n", "Adding the stochastic seasonal component adds one new parameter, `sigma2.seasonal`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:33.461317Z", "iopub.status.busy": "2024-04-19T16:38:33.459129Z", "iopub.status.idle": "2024-04-19T16:38:33.472489Z", "shell.execute_reply": "2024-04-19T16:38:33.471914Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['sigma2.irregular', 'sigma2.level', 'sigma2.trend', 'sigma2.seasonal']\n" ] } ], "source": [ "# Construct a local linear trend model with a stochastic seasonal component of period 1 year\n", "mod = sm.tsa.UnobservedComponents(endog, 'lltrend', seasonal=12, stochastic_seasonal=True)\n", "print(mod.param_names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, we will continue to restrict the first three parameters as described above, but we want to estimate the value of `sigma2.seasonal` by maximum likelihood. Therefore, we will use the `fit` method along with the `fix_params` context manager.\n", "\n", "The `fix_params` method takes a dictionary of parameters names and associated values. Within the generated context, those parameters will be used in all cases. In the case of the `fit` method, only the parameters that were not fixed will be estimated." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:33.485294Z", "iopub.status.busy": "2024-04-19T16:38:33.482818Z", "iopub.status.idle": "2024-04-19T16:38:33.929836Z", "shell.execute_reply": "2024-04-19T16:38:33.929104Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RUNNING THE L-BFGS-B CODE\n", "\n", " * * *\n", "\n", "Machine precision = 2.220D-16\n", " N = 1 M = 10\n", "\n", "At X0 0 variables are exactly at the bounds\n", "\n", "At iterate 0 f= 3.88952D+00 |proj g|= 2.26291D-01\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " This problem is unconstrained.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 5 f= 3.26626D+00 |proj g|= 2.25158D-06\n", "\n", " * * *\n", "\n", "Tit = total number of iterations\n", "Tnf = total number of function evaluations\n", "Tnint = total number of segments explored during Cauchy searches\n", "Skip = number of BFGS updates skipped\n", "Nact = number of active bounds at final generalized Cauchy point\n", "Projg = norm of the final projected gradient\n", "F = final function value\n", "\n", " * * *\n", "\n", " N Tit Tnf Tnint Skip Nact Projg F\n", " 1 5 12 1 0 0 2.252D-06 3.266D+00\n", " F = 3.2662596590601871 \n", "\n", "CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL \n" ] } ], "source": [ "# Here we restrict the first three parameters to specific values\n", "with mod.fix_params({'sigma2.irregular': 1, 'sigma2.level': 0, 'sigma2.trend': 1. / 129600}):\n", " # Now we fit any remaining parameters, which in this case\n", " # is just `sigma2.seasonal`\n", " res_restricted = mod.fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we could have simply used the `fit_constrained` method, which also accepts a dictionary of constraints:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:33.933279Z", "iopub.status.busy": "2024-04-19T16:38:33.932875Z", "iopub.status.idle": "2024-04-19T16:38:34.347941Z", "shell.execute_reply": "2024-04-19T16:38:34.347238Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RUNNING THE L-BFGS-B CODE\n", "\n", " * * *\n", "\n", "Machine precision = 2.220D-16\n", " N = 1 M = 10\n", "\n", "At X0 0 variables are exactly at the bounds\n", "\n", "At iterate 0 f= 3.88952D+00 |proj g|= 2.26291D-01\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " This problem is unconstrained.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 5 f= 3.26626D+00 |proj g|= 2.25158D-06\n", "\n", " * * *\n", "\n", "Tit = total number of iterations\n", "Tnf = total number of function evaluations\n", "Tnint = total number of segments explored during Cauchy searches\n", "Skip = number of BFGS updates skipped\n", "Nact = number of active bounds at final generalized Cauchy point\n", "Projg = norm of the final projected gradient\n", "F = final function value\n", "\n", " * * *\n", "\n", " N Tit Tnf Tnint Skip Nact Projg F\n", " 1 5 12 1 0 0 2.252D-06 3.266D+00\n", " F = 3.2662596590601871 \n", "\n", "CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL \n" ] } ], "source": [ "res_restricted = mod.fit_constrained({'sigma2.irregular': 1, 'sigma2.level': 0, 'sigma2.trend': 1. / 129600})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The summary output includes all parameters, but indicates that the first three were fixed (and so were not estimated)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:34.351449Z", "iopub.status.busy": "2024-04-19T16:38:34.350973Z", "iopub.status.idle": "2024-04-19T16:38:34.383811Z", "shell.execute_reply": "2024-04-19T16:38:34.383149Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "=====================================================================================\n", "Dep. Variable: CPIAPPNS No. Observations: 531\n", "Model: local linear trend Log Likelihood -1734.384\n", " + stochastic seasonal(12) AIC 3470.768\n", "Date: Fri, 19 Apr 2024 BIC 3475.018\n", "Time: 16:38:34 HQIC 3472.433\n", "Sample: 01-01-1980 \n", " - 03-01-2024 \n", "Covariance Type: opg \n", "============================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "--------------------------------------------------------------------------------------------\n", "sigma2.irregular (fixed) 1.0000 nan nan nan nan nan\n", "sigma2.level (fixed) 0 nan nan nan nan nan\n", "sigma2.trend (fixed) 7.716e-06 nan nan nan nan nan\n", "sigma2.seasonal 0.0933 0.007 12.652 0.000 0.079 0.108\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 455.29 Jarque-Bera (JB): 39.83\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 2.50 Skew: 0.32\n", "Prob(H) (two-sided): 0.00 Kurtosis: 4.20\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "print(res_restricted.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For comparison, we construct the unrestricted maximum likelihood estimates (MLE). In this case, the estimate of the level will no longer correspond to the HP filter concept." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:34.387099Z", "iopub.status.busy": "2024-04-19T16:38:34.386614Z", "iopub.status.idle": "2024-04-19T16:38:36.968607Z", "shell.execute_reply": "2024-04-19T16:38:36.967938Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RUNNING THE L-BFGS-B CODE\n", "\n", " * * *\n", "\n", "Machine precision = 2.220D-16\n", " N = 4 M = 10\n", "\n", "At X0 0 variables are exactly at the bounds\n", "\n", "At iterate 0 f= 3.63648D+00 |proj g|= 1.07130D-01\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " This problem is unconstrained.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 5 f= 1.98435D+00 |proj g|= 2.99231D-01\n", " ys=-3.222E-01 -gs= 3.185E-01 BFGS update SKIPPED\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 10 f= 1.56733D+00 |proj g|= 7.28698D-01\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 15 f= 1.48593D+00 |proj g|= 1.57938D-01\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 20 f= 1.40444D+00 |proj g|= 3.25266D-01\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "At iterate 25 f= 1.38763D+00 |proj g|= 1.81951D-02\n", "\n", " * * *\n", "\n", "Tit = total number of iterations\n", "Tnf = total number of function evaluations\n", "Tnint = total number of segments explored during Cauchy searches\n", "Skip = number of BFGS updates skipped\n", "Nact = number of active bounds at final generalized Cauchy point\n", "Projg = norm of the final projected gradient\n", "F = final function value\n", "\n", " * * *\n", "\n", " N Tit Tnf Tnint Skip Nact Projg F\n", " 4 28 53 1 1 0 3.894D-06 1.388D+00\n", " F = 1.3875681402651436 \n", "\n", "CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL \n" ] } ], "source": [ "res_unrestricted = mod.fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can retrieve the smoothed estimates of the trend and seasonal components." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:36.974489Z", "iopub.status.busy": "2024-04-19T16:38:36.972929Z", "iopub.status.idle": "2024-04-19T16:38:36.987600Z", "shell.execute_reply": "2024-04-19T16:38:36.986998Z" } }, "outputs": [], "source": [ "# Construct the smoothed level estimates\n", "unrestricted_trend = pd.Series(res_unrestricted.level.smoothed, index=endog.index)\n", "restricted_trend = pd.Series(res_restricted.level.smoothed, index=endog.index)\n", "\n", "# Construct the smoothed estimates of the seasonal pattern\n", "unrestricted_seasonal = pd.Series(res_unrestricted.seasonal.smoothed, index=endog.index)\n", "restricted_seasonal = pd.Series(res_restricted.seasonal.smoothed, index=endog.index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparing the estimated level, it is clear that the seasonal UCM with fixed parameters still produces a trend that corresponds very closely (although no longer exactly) to the HP filter output.\n", "\n", "Meanwhile, the estimated level from the model with no parameter restrictions (the MLE model) is much less smooth than these." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:36.992365Z", "iopub.status.busy": "2024-04-19T16:38:36.990873Z", "iopub.status.idle": "2024-04-19T16:38:38.002844Z", "shell.execute_reply": "2024-04-19T16:38:38.002145Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 3))\n", "\n", "ax.plot(unrestricted_trend, label='MLE, with seasonal')\n", "ax.plot(restricted_trend, label='Fixed parameters, with seasonal')\n", "ax.plot(hp_trend, label='HP filter, no seasonal')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the UCM with the parameter restrictions is still able to pick up the time-varying seasonal component quite well." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:38:38.005972Z", "iopub.status.busy": "2024-04-19T16:38:38.005672Z", "iopub.status.idle": "2024-04-19T16:38:39.069638Z", "shell.execute_reply": "2024-04-19T16:38:39.068944Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 3))\n", "\n", "ax.plot(unrestricted_seasonal, label='MLE')\n", "ax.plot(restricted_seasonal, label='Fixed parameters')\n", "ax.legend();" ] } ], "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": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }