{ "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": "2026-07-29T17:40:49.043101Z", "iopub.status.busy": "2026-07-29T17:40:49.042918Z", "iopub.status.idle": "2026-07-29T17:40:52.262968Z", "shell.execute_reply": "2026-07-29T17:40:52.261189Z" } }, "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": "2026-07-29T17:40:52.266146Z", "iopub.status.busy": "2026-07-29T17:40:52.265108Z", "iopub.status.idle": "2026-07-29T17:40:53.520445Z", "shell.execute_reply": "2026-07-29T17:40:53.519547Z" } }, "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": "2026-07-29T17:40:53.528742Z", "iopub.status.busy": "2026-07-29T17:40:53.528513Z", "iopub.status.idle": "2026-07-29T17:40:53.540908Z", "shell.execute_reply": "2026-07-29T17:40:53.540337Z" } }, "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": "2026-07-29T17:40:53.544939Z", "iopub.status.busy": "2026-07-29T17:40:53.544727Z", "iopub.status.idle": "2026-07-29T17:40:53.625705Z", "shell.execute_reply": "2026-07-29T17:40:53.623817Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "==============================================================================\n", "Dep. Variable: CPIAPPNS No. Observations: 558\n", "Model: local linear trend Log Likelihood -3111.849\n", "Date: Wed, 29 Jul 2026 AIC 6229.697\n", "Time: 17:40:53 BIC 6242.660\n", "Sample: 01-01-1980 HQIC 6234.761\n", " - 06-01-2026 \n", "Covariance Type: opg \n", "====================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------------\n", "sigma2.irregular 1.0000 0.008 119.838 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 42.297 0.000 7.36e-06 8.07e-06\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 262.14 Jarque-Bera (JB): 2.01\n", "Prob(Q): 0.00 Prob(JB): 0.37\n", "Heteroskedasticity (H): 1.98 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": "2026-07-29T17:40:53.628074Z", "iopub.status.busy": "2026-07-29T17:40:53.627860Z", "iopub.status.idle": "2026-07-29T17:40:53.634941Z", "shell.execute_reply": "2026-07-29T17:40:53.634065Z" } }, "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": "2026-07-29T17:40:53.637702Z", "iopub.status.busy": "2026-07-29T17:40:53.637487Z", "iopub.status.idle": "2026-07-29T17:40:54.017405Z", "shell.execute_reply": "2026-07-29T17:40:54.016082Z" } }, "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": "2026-07-29T17:40:54.019572Z", "iopub.status.busy": "2026-07-29T17:40:54.019366Z", "iopub.status.idle": "2026-07-29T17:40:54.027475Z", "shell.execute_reply": "2026-07-29T17:40:54.026275Z" } }, "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": "2026-07-29T17:40:54.031850Z", "iopub.status.busy": "2026-07-29T17:40:54.031650Z", "iopub.status.idle": "2026-07-29T17:40:54.388375Z", "shell.execute_reply": "2026-07-29T17:40:54.386529Z" } }, "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": "2026-07-29T17:40:54.391306Z", "iopub.status.busy": "2026-07-29T17:40:54.390457Z", "iopub.status.idle": "2026-07-29T17:40:54.732787Z", "shell.execute_reply": "2026-07-29T17:40:54.731213Z" } }, "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": "2026-07-29T17:40:54.737541Z", "iopub.status.busy": "2026-07-29T17:40:54.734571Z", "iopub.status.idle": "2026-07-29T17:40:54.760155Z", "shell.execute_reply": "2026-07-29T17:40:54.759605Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "=====================================================================================\n", "Dep. Variable: CPIAPPNS No. Observations: 558\n", "Model: local linear trend Log Likelihood -1793.098\n", " + stochastic seasonal(12) AIC 3588.196\n", "Date: Wed, 29 Jul 2026 BIC 3592.497\n", "Time: 17:40:54 HQIC 3589.877\n", "Sample: 01-01-1980 \n", " - 06-01-2026 \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 0.0962 0.008 12.761 0.000 0.081 0.111\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 476.69 Jarque-Bera (JB): 42.96\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 2.24 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": "2026-07-29T17:40:54.764788Z", "iopub.status.busy": "2026-07-29T17:40:54.764582Z", "iopub.status.idle": "2026-07-29T17:40:56.717542Z", "shell.execute_reply": "2026-07-29T17:40:56.716543Z" } }, "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": "2026-07-29T17:40:56.721509Z", "iopub.status.busy": "2026-07-29T17:40:56.721254Z", "iopub.status.idle": "2026-07-29T17:40:56.735352Z", "shell.execute_reply": "2026-07-29T17:40:56.733447Z" } }, "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": "2026-07-29T17:40:56.739857Z", "iopub.status.busy": "2026-07-29T17:40:56.739578Z", "iopub.status.idle": "2026-07-29T17:40:57.264519Z", "shell.execute_reply": "2026-07-29T17:40:57.263673Z" } }, "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": "2026-07-29T17:40:57.269648Z", "iopub.status.busy": "2026-07-29T17:40:57.269386Z", "iopub.status.idle": "2026-07-29T17:40:57.714597Z", "shell.execute_reply": "2026-07-29T17:40:57.713967Z" } }, "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }