{ "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": "2026-08-27T06:58:19.280718Z", "iopub.status.busy": "2026-08-27T06:58:19.280542Z", "iopub.status.idle": "2026-08-27T06:58:22.697440Z", "shell.execute_reply": "2026-08-27T06:58:22.695407Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from pandas_datareader.data import DataReader\n", "\n", "import statsmodels.api as sm" ] }, { "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": "2026-08-27T06:58:22.700094Z", "iopub.status.busy": "2026-08-27T06:58:22.699735Z", "iopub.status.idle": "2026-08-27T06:58:24.213601Z", "shell.execute_reply": "2026-08-27T06:58:24.212977Z" } }, "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": "2026-08-27T06:58:24.219773Z", "iopub.status.busy": "2026-08-27T06:58:24.219515Z", "iopub.status.idle": "2026-08-27T06:58:24.236763Z", "shell.execute_reply": "2026-08-27T06:58:24.236173Z" } }, "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": "2026-08-27T06:58:24.239718Z", "iopub.status.busy": "2026-08-27T06:58:24.239458Z", "iopub.status.idle": "2026-08-27T06:58:24.304258Z", "shell.execute_reply": "2026-08-27T06:58:24.302973Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "==============================================================================\n", "Dep. Variable: CPIAPPNS No. Observations: 559\n", "Model: local linear trend Log Likelihood -3113.373\n", "Date: Thu, 27 Aug 2026 AIC 6232.745\n", "Time: 06:58:24 BIC 6245.713\n", "Sample: 01-01-1980 HQIC 6237.810\n", " - 07-01-2026 \n", "Covariance Type: opg \n", "====================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------------\n", "sigma2.irregular 1.0000 0.008 119.839 0.000 0.984 1.016\n", "sigma2.level 0 0.000 0 1.000 -0.000 0.000\n", "sigma2.trend 7.716e-06 1.82e-07 42.308 0.000 7.36e-06 8.07e-06\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 262.37 Jarque-Bera (JB): 1.97\n", "Prob(Q): 0.00 Prob(JB): 0.37\n", "Heteroskedasticity (H): 1.93 Skew: 0.04\n", "Prob(H) (two-sided): 0.00 Kurtosis: 2.72\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "res = mod.smooth([1.0, 0, 1.0 / 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": "2026-08-27T06:58:24.307171Z", "iopub.status.busy": "2026-08-27T06:58:24.306333Z", "iopub.status.idle": "2026-08-27T06:58:24.311375Z", "shell.execute_reply": "2026-08-27T06:58:24.310208Z" } }, "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": "2026-08-27T06:58:24.314091Z", "iopub.status.busy": "2026-08-27T06:58:24.313189Z", "iopub.status.idle": "2026-08-27T06:58:24.501358Z", "shell.execute_reply": "2026-08-27T06:58:24.500723Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": "2026-08-27T06:58:24.505509Z", "iopub.status.busy": "2026-08-27T06:58:24.505090Z", "iopub.status.idle": "2026-08-27T06:58:24.512926Z", "shell.execute_reply": "2026-08-27T06:58:24.511436Z" } }, "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(\n", " endog, \"lltrend\", seasonal=12, stochastic_seasonal=True\n", ")\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": "2026-08-27T06:58:24.515282Z", "iopub.status.busy": "2026-08-27T06:58:24.515016Z", "iopub.status.idle": "2026-08-27T06:58:24.768205Z", "shell.execute_reply": "2026-08-27T06:58:24.766668Z" } }, "outputs": [], "source": [ "# Here we restrict the first three parameters to specific values\n", "with mod.fix_params(\n", " {\"sigma2.irregular\": 1, \"sigma2.level\": 0, \"sigma2.trend\": 1.0 / 129600}\n", "):\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": "2026-08-27T06:58:24.770626Z", "iopub.status.busy": "2026-08-27T06:58:24.770355Z", "iopub.status.idle": "2026-08-27T06:58:24.980479Z", "shell.execute_reply": "2026-08-27T06:58:24.977460Z" } }, "outputs": [], "source": [ "res_restricted = mod.fit_constrained(\n", " {\"sigma2.irregular\": 1, \"sigma2.level\": 0, \"sigma2.trend\": 1.0 / 129600}\n", ")" ] }, { "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": "2026-08-27T06:58:24.985188Z", "iopub.status.busy": "2026-08-27T06:58:24.984911Z", "iopub.status.idle": "2026-08-27T06:58:24.998711Z", "shell.execute_reply": "2026-08-27T06:58:24.997954Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "=====================================================================================\n", "Dep. Variable: CPIAPPNS No. Observations: 559\n", "Model: local linear trend Log Likelihood -1795.304\n", " + stochastic seasonal(12) AIC 3592.608\n", "Date: Thu, 27 Aug 2026 BIC 3596.911\n", "Time: 06:58:24 HQIC 3594.290\n", "Sample: 01-01-1980 \n", " - 07-01-2026 \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 0.0964 0.008 12.759 0.000 0.082 0.111\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 477.81 Jarque-Bera (JB): 42.73\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 2.25 Skew: 0.32\n", "Prob(H) (two-sided): 0.00 Kurtosis: 4.22\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": "2026-08-27T06:58:25.001715Z", "iopub.status.busy": "2026-08-27T06:58:25.001509Z", "iopub.status.idle": "2026-08-27T06:58:25.967317Z", "shell.execute_reply": "2026-08-27T06:58:25.966678Z" } }, "outputs": [], "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": "2026-08-27T06:58:25.973270Z", "iopub.status.busy": "2026-08-27T06:58:25.972225Z", "iopub.status.idle": "2026-08-27T06:58:25.995929Z", "shell.execute_reply": "2026-08-27T06:58:25.990060Z" } }, "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": "2026-08-27T06:58:26.000578Z", "iopub.status.busy": "2026-08-27T06:58:26.000333Z", "iopub.status.idle": "2026-08-27T06:58:26.399929Z", "shell.execute_reply": "2026-08-27T06:58:26.398986Z" } }, "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": "2026-08-27T06:58:26.402149Z", "iopub.status.busy": "2026-08-27T06:58:26.401935Z", "iopub.status.idle": "2026-08-27T06:58:26.878637Z", "shell.execute_reply": "2026-08-27T06:58:26.877843Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.7" } }, "nbformat": 4, "nbformat_minor": 4 }