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@ChadFulton
Created January 3, 2019 23:50
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Example: Shumway and Stoffer 6.2
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 6.2 from Shumway and Stoffer (2000)\n",
"\n",
"This example models two observed series that are each noisy versions of an underlying state that is modeled as a random walk with drift.\n",
"\n",
"The observation equation linking the observed series to the underlying state is:\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"\\begin{bmatrix} y_{1t} \\\\ y_{2t} \\end{bmatrix} & = \\begin{bmatrix} 1 \\\\ 1 \\end{bmatrix} x_t + \\begin{bmatrix} v_{1t} \\\\ v_{2t} \\end{bmatrix}, \\qquad \\begin{bmatrix} v_{1t} \\\\ v_{2t} \\end{bmatrix} \\sim N \\left (\\begin{bmatrix} 0 \\\\ 0 \\end{bmatrix}, \\begin{bmatrix} r_{11} & r_{12} \\\\ r_{12} & r_{22} \\end{bmatrix} \\right ) \\\\\\\\\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"and the transition equation describing the underlying state is:\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"x_{t+1} & = \\delta + x_t + w_t, \\qquad w_t \\sim N(0, Q)\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"Since the state is non-stationary, we use a diffuse initialization, i.e. $x_1 \\sim N(0, \\kappa)$ with $\\kappa \\to \\infty$."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generate example dataset\n",
"\n",
"Here we generate some data that follows the process described above, with parameterization:\n",
"\n",
"- $r_{11} = 200, r_{12} = 10, r_{22} = 500$\n",
"- $\\delta = 0.4$\n",
"- $Q = 10$\n",
"\n",
"The simulated dataset has $200$ observations."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"rs = np.random.RandomState(seed=1234)\n",
"\n",
"nobs = 200\n",
"\n",
"drift = 0.4\n",
"Q = 10\n",
"\n",
"w = rs.normal(scale=Q**0.5, size=nobs + 1)\n",
"x = np.zeros(nobs + 1)\n",
"x[0] = w[0]\n",
"\n",
"\n",
"var1 = 200.\n",
"var2 = 500.\n",
"cov = 10.\n",
"v = rs.multivariate_normal(mean=[0, 0], cov=np.array([[var1, cov],\n",
" [cov, var2]]), size=nobs)\n",
"y = np.zeros((nobs, 2))\n",
"\n",
"for i in range(1, nobs + 1):\n",
" x[i] = drift + x[i-1] + w[i]\n",
" y[i-1] = x[i] + v[i-1]\n",
"x = x[1:]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(15, 4))\n",
"\n",
"ax.plot(x, color='k', label=r'Underlying state: $x_t$')\n",
"ax.plot(y[:, 0], label=r'Observed data: $y_{1t}$')\n",
"ax.plot(y[:, 1], label=r'Observed data: $y_{2t}$')\n",
"\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Construct model class\n",
"\n",
"Here we map the mathematical model, given above, into a model that can be fit by Statsmodels."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"class ShumwayStoffer62(sm.tsa.statespace.MLEModel):\n",
" def __init__(self, endog):\n",
" super().__init__(endog, k_states=1)\n",
" \n",
" self.ssm.initialize_diffuse()\n",
"\n",
" self.ssm['design'] = np.ones((2, 1))\n",
" self.ssm['transition'] = np.eye(1)\n",
" self.ssm['selection'] = np.eye(1)\n",
" \n",
" @property\n",
" def param_names(self):\n",
" return ['delta', 'r11', 'r12', 'r22', 'Q']\n",
" \n",
" @property\n",
" def start_params(self):\n",
" r11, r22 = np.var(y, axis=0)\n",
" return np.r_[0, r11, 0, r22, 1.]\n",
" \n",
" def transform_params(self, unconstrained):\n",
" constrained = unconstrained.copy()\n",
" \n",
" ix = np.tril_indices(2)\n",
" L = np.zeros((2, 2))\n",
" L[ix] = unconstrained[1:4]\n",
" R = L.dot(L.T)\n",
" constrained[1:4] = R[ix]\n",
" \n",
" constrained[4] = unconstrained[4]**2\n",
" \n",
" return constrained\n",
" \n",
" def untransform_params(self, constrained):\n",
" unconstrained = constrained.copy()\n",
" \n",
" ix = np.tril_indices(2)\n",
" R = np.zeros((2, 2), dtype=constrained.dtype)\n",
" R[ix] = constrained[1:4]\n",
" R[0, 1] = R[1, 0]\n",
" L = np.linalg.cholesky(R)\n",
" unconstrained[1:4] = L[ix]\n",
" \n",
" unconstrained[4] = constrained[4]**0.5\n",
" \n",
" return unconstrained\n",
" \n",
" def update(self, params, **kwargs):\n",
" params = super().update(params, **kwargs)\n",
" \n",
" # Drift\n",
" self['state_intercept', 0, 0] = params[0]\n",
" \n",
" # Observation covariance\n",
" ix = np.tril_indices(2)\n",
" R = np.zeros((2, 2), dtype=params.dtype)\n",
" R[ix] = params[1:4]\n",
" R[0, 1] = R[1, 0]\n",
" self['obs_cov'] = R\n",
" \n",
" # State covariance\n",
" self['state_cov', 0, 0] = params[4]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fit the model\n",
"\n",
"Below, we create an instance of the model we just created, passing in the generated dataset from above. Then we find the parameters that maximize the likelihood function, and print the results."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Statespace Model Results \n",
"==============================================================================\n",
"Dep. Variable: ['y1', 'y2'] No. Observations: 200\n",
"Model: ShumwayStoffer62 Log Likelihood -1716.871\n",
"Date: Thu, 03 Jan 2019 AIC 3445.742\n",
"Time: 18:45:22 BIC 3465.532\n",
"Sample: 0 HQIC 3453.750\n",
" - 200 \n",
"Covariance Type: opg \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"delta 0.3627 0.193 1.883 0.060 -0.015 0.740\n",
"r11 175.6347 21.063 8.339 0.000 134.352 216.917\n",
"r12 13.0251 21.805 0.597 0.550 -29.712 55.763\n",
"r22 457.2389 50.018 9.142 0.000 359.206 555.272\n",
"Q 6.8278 3.279 2.082 0.037 0.400 13.255\n",
"===================================================================================\n",
"Ljung-Box (Q): 42.15, 28.15 Jarque-Bera (JB): 1.21, 1.92\n",
"Prob(Q): 0.38, 0.92 Prob(JB): 0.55, 0.38\n",
"Heteroskedasticity (H): 1.20, 0.97 Skew: -0.02, 0.22\n",
"Prob(H) (two-sided): 0.46, 0.89 Kurtosis: 2.62, 2.79\n",
"===================================================================================\n",
"\n",
"Warnings:\n",
"[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
]
}
],
"source": [
"mod = ShumwayStoffer62(y)\n",
"res = mod.fit()\n",
"print(res.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the estimate of the unobserved state tracks the true value pretty closely, although not exactly."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(15, 4))\n",
"\n",
"ax.plot(x, color='k', label=r'True underlying state: $x_t$')\n",
"ax.plot(res.smoothed_state[0], label=r'Smoothed state estimate: $x_{t|T}$')\n",
"\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": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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