{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", " \"QuantEcon\"\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear State Space Models\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents\n", "\n", "- [Linear State Space Models](#Linear-State-Space-Models) \n", " - [Overview](#Overview) \n", " - [The Linear State Space Model](#The-Linear-State-Space-Model) \n", " - [Distributions and Moments](#Distributions-and-Moments) \n", " - [Stationarity and Ergodicity](#Stationarity-and-Ergodicity) \n", " - [Noisy Observations](#Noisy-Observations) \n", " - [Prediction](#Prediction) \n", " - [Code](#Code) \n", " - [Exercises](#Exercises) \n", " - [Solutions](#Solutions) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> “We may regard the present state of the universe as the effect of its past and the cause of its future” – Marquis de Laplace" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview\n", "\n", "This lecture introduces the **linear state space** dynamic system.\n", "\n", "This model is a workhorse that carries a powerful theory of prediction.\n", "\n", "Its many applications include:\n", "\n", "- representing dynamics of higher-order linear systems \n", "- predicting the position of a system $ j $ steps into the future \n", "- predicting a geometric sum of future values of a variable like \n", " \n", " - non financial income \n", " - dividends on a stock \n", " - the money supply \n", " - a government deficit or surplus, etc. \n", " \n", "- key ingredient of useful models \n", " \n", " - Friedman’s permanent income model of consumption smoothing \n", " - Barro’s model of smoothing total tax collections \n", " - Rational expectations version of Cagan’s model of hyperinflation \n", " - Sargent and Wallace’s “unpleasant monetarist arithmetic,” etc. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hide-output": true }, "outputs": [], "source": [ "using InstantiateFromURL\n", "github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.5.0\")\n", "# github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.5.0\", instantiate = true) # uncomment to force package installation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide-output": false }, "outputs": [], "source": [ "using LinearAlgebra, Statistics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Linear State Space Model\n", "\n", "\n", "\n", "The objects in play are:\n", "\n", "- An $ n \\times 1 $ vector $ x_t $ denoting the **state** at time $ t = 0, 1, 2, \\ldots $. \n", "- An iid sequence of $ m \\times 1 $ random vectors $ w_t \\sim N(0,I) $. \n", "- A $ k \\times 1 $ vector $ y_t $ of **observations** at time $ t = 0, 1, 2, \\ldots $. \n", "- An $ n \\times n $ matrix $ A $ called the **transition matrix**. \n", "- An $ n \\times m $ matrix $ C $ called the **volatility matrix**. \n", "- A $ k \\times n $ matrix $ G $ sometimes called the **output matrix**. \n", "\n", "\n", "Here is the linear state-space system\n", "\n", "\n", "\n", "$$\n", "\\begin{aligned}\n", " x_{t+1} & = A x_t + C w_{t+1} \\\\\n", " y_t & = G x_t \\nonumber \\\\\n", " x_0 & \\sim N(\\mu_0, \\Sigma_0) \\nonumber\n", "\\end{aligned} \\tag{1}\n", "$$\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Primitives\n", "\n", "The primitives of the model are\n", "\n", "1. the matrices $ A, C, G $ \n", "1. shock distribution, which we have specialized to $ N(0,I) $ \n", "1. the distribution of the initial condition $ x_0 $, which we have set to $ N(\\mu_0, \\Sigma_0) $ \n", "\n", "\n", "Given $ A, C, G $ and draws of $ x_0 $ and $ w_1, w_2, \\ldots $, the\n", "model [(1)](#equation-st-space-rep) pins down the values of the sequences $ \\{x_t\\} $ and $ \\{y_t\\} $.\n", "\n", "Even without these draws, the primitives 1–3 pin down the *probability distributions* of $ \\{x_t\\} $ and $ \\{y_t\\} $.\n", "\n", "Later we’ll see how to compute these distributions and their moments." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Martingale difference shocks\n", "\n", "\n", "\n", "We’ve made the common assumption that the shocks are independent standardized normal vectors.\n", "\n", "But some of what we say will be valid under the assumption that $ \\{w_{t+1}\\} $ is a **martingale difference sequence**.\n", "\n", "A martingale difference sequence is a sequence that is zero mean when conditioned on past information.\n", "\n", "In the present case, since $ \\{x_t\\} $ is our state sequence, this means that it satisfies\n", "\n", "$$\n", "\\mathbb{E} [w_{t+1} | x_t, x_{t-1}, \\ldots ] = 0\n", "$$\n", "\n", "This is a weaker condition than that $ \\{w_t\\} $ is iid with $ w_{t+1} \\sim N(0,I) $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Examples\n", "\n", "By appropriate choice of the primitives, a variety of dynamics can be represented in terms of the linear state space model.\n", "\n", "The following examples help to highlight this point.\n", "\n", "They also illustrate the wise dictum *finding the state is an art*.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Second-order difference equation\n", "\n", "Let $ \\{y_t\\} $ be a deterministic sequence that satisfies\n", "\n", "\n", "\n", "$$\n", "y_{t+1} = \\phi_0 + \\phi_1 y_t + \\phi_2 y_{t-1}\n", "\\quad \\text{s.t.} \\quad\n", "y_0, y_{-1} \\text{ given} \\tag{2}\n", "$$\n", "\n", "To map [(2)](#equation-st-ex-1) into our state space system [(1)](#equation-st-space-rep), we set\n", "\n", "$$\n", "x_t=\n", "\\begin{bmatrix}\n", " 1 \\\\\n", " y_t \\\\\n", " y_{t-1}\n", "\\end{bmatrix}\n", "\\qquad\n", "A = \\begin{bmatrix}\n", " 1 & 0 & 0 \\\\\n", " \\phi_0 & \\phi_1 & \\phi_2 \\\\\n", " 0 & 1 & 0\n", " \\end{bmatrix}\n", "\\qquad\n", "C= \\begin{bmatrix}\n", " 0 \\\\\n", " 0 \\\\\n", " 0\n", " \\end{bmatrix}\n", "\\qquad\n", "G = \\begin{bmatrix} 0 & 1 & 0 \\end{bmatrix}\n", "$$\n", "\n", "You can confirm that under these definitions, [(1)](#equation-st-space-rep) and [(2)](#equation-st-ex-1) agree.\n", "\n", "The next figure shows dynamics of this process when $ \\phi_0 = 1.1, \\phi_1=0.8, \\phi_2 = -0.8, y_0 = y_{-1} = 1 $\n", "\n", "\n", "\n", "\n", "\n", " \n", "Later you’ll be asked to recreate this figure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Univariate Autoregressive Processes\n", "\n", "\n", "\n", "We can use [(1)](#equation-st-space-rep) to represent the model\n", "\n", "\n", "\n", "$$\n", "y_{t+1} = \\phi_1 y_{t} + \\phi_2 y_{t-1} + \\phi_3 y_{t-2} + \\phi_4 y_{t-3} + \\sigma w_{t+1} \\tag{3}\n", "$$\n", "\n", "where $ \\{w_t\\} $ is iid and standard normal.\n", "\n", "To put this in the linear state space format we take $ x_t = \\begin{bmatrix} y_t & y_{t-1} & y_{t-2} & y_{t-3} \\end{bmatrix}' $ and\n", "\n", "$$\n", "A =\n", "\\begin{bmatrix}\n", " \\phi_1 & \\phi_2 & \\phi_3 & \\phi_4 \\\\\n", " 1 & 0 & 0 & 0 \\\\\n", " 0 & 1 & 0 & 0 \\\\\n", " 0 & 0 & 1 & 0\n", "\\end{bmatrix}\n", "\\qquad\n", "C = \\begin{bmatrix}\n", " \\sigma \\\\\n", " 0 \\\\\n", " 0 \\\\\n", " 0\n", " \\end{bmatrix}\n", "\\qquad\n", " G = \\begin{bmatrix}\n", " 1 & 0 & 0 & 0\n", " \\end{bmatrix}\n", "$$\n", "\n", "The matrix $ A $ has the form of the *companion matrix* to the vector\n", "$ \\begin{bmatrix}\\phi_1 & \\phi_2 & \\phi_3 & \\phi_4 \\end{bmatrix} $.\n", "\n", "The next figure shows dynamics of this process when\n", "\n", "$$\n", "\\phi_1 = 0.5, \\phi_2 = -0.2, \\phi_3 = 0, \\phi_4 = 0.5, \\sigma = 0.2, y_0 = y_{-1} = y_{-2} =\n", "y_{-3} = 1\n", "$$\n", "\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Vector Autoregressions\n", "\n", "\n", "\n", "Now suppose that\n", "\n", "- $ y_t $ is a $ k \\times 1 $ vector \n", "- $ \\phi_j $ is a $ k \\times k $ matrix and \n", "- $ w_t $ is $ k \\times 1 $ \n", "\n", "\n", "Then [(3)](#equation-eq-ar-rep) is termed a *vector autoregression*.\n", "\n", "To map this into [(1)](#equation-st-space-rep), we set\n", "\n", "$$\n", "x_t =\n", "\\begin{bmatrix}\n", " y_t \\\\\n", " y_{t-1} \\\\\n", " y_{t-2} \\\\\n", " y_{t-3}\n", " \\end{bmatrix}\n", "\\quad\n", "A =\n", "\\begin{bmatrix}\n", "\\phi_1 & \\phi_2 & \\phi_3 & \\phi_4 \\\\\n", "I & 0 & 0 & 0 \\\\\n", "0 & I & 0 & 0 \\\\\n", "0 & 0 & I & 0\n", "\\end{bmatrix}\n", "\\quad\n", "C =\n", "\\begin{bmatrix}\n", " \\sigma \\\\\n", " 0 \\\\\n", " 0 \\\\\n", " 0\n", " \\end{bmatrix}\n", "\\quad\n", "G =\n", "\\begin{bmatrix}\n", " I & 0 & 0 & 0\n", " \\end{bmatrix}\n", "$$\n", "\n", "where $ I $ is the $ k \\times k $ identity matrix and $ \\sigma $ is a $ k \\times k $ matrix." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Seasonals\n", "\n", "\n", "\n", "We can use [(1)](#equation-st-space-rep) to represent\n", "\n", "1. the *deterministic seasonal* $ y_t = y_{t-4} $ \n", "1. the *indeterministic seasonal* $ y_t = \\phi_4 y_{t-4} + w_t $ \n", "\n", "\n", "In fact both are special cases of [(3)](#equation-eq-ar-rep).\n", "\n", "With the deterministic seasonal, the transition matrix becomes\n", "\n", "$$\n", "A = \\begin{bmatrix}\n", " 0 & 0 & 0 & 1 \\\\\n", " 1 & 0 & 0 & 0 \\\\\n", " 0 & 1 & 0 & 0 \\\\\n", " 0 & 0 & 1 & 0\n", " \\end{bmatrix}\n", "$$\n", "\n", "It is easy to check that $ A^4 = I $, which implies that $ x_t $ is strictly periodic with period 4:[1]\n", "\n", "$$\n", "x_{t+4} = x_t\n", "$$\n", "\n", "Such an $ x_t $ process can be used to model deterministic seasonals in quarterly time series.\n", "\n", "The *indeterministic* seasonal produces recurrent, but aperiodic, seasonal fluctuations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Time Trends\n", "\n", "\n", "\n", "The model $ y_t = a t + b $ is known as a *linear time trend*.\n", "\n", "We can represent this model in the linear state space form by taking\n", "\n", "\n", "\n", "$$\n", "A\n", "= \\begin{bmatrix}\n", " 1 & 1 \\\\\n", " 0 & 1\n", " \\end{bmatrix}\n", "\\qquad\n", "C\n", "= \\begin{bmatrix}\n", " 0 \\\\\n", " 0\n", " \\end{bmatrix}\n", "\\qquad\n", "G\n", "= \\begin{bmatrix}\n", " a & b\n", " \\end{bmatrix} \\tag{4}\n", "$$\n", "\n", "and starting at initial condition $ x_0 = \\begin{bmatrix} 0 & 1\\end{bmatrix}' $.\n", "\n", "In fact it’s possible to use the state-space system to represent polynomial trends of any order.\n", "\n", "For instance, let\n", "\n", "$$\n", "x_0\n", "= \\begin{bmatrix}\n", " 0 \\\\\n", " 0 \\\\\n", " 1\n", " \\end{bmatrix}\n", "\\qquad\n", "A\n", "= \\begin{bmatrix}\n", " 1 & 1 & 0 \\\\\n", " 0 & 1 & 1 \\\\\n", " 0 & 0 & 1\n", " \\end{bmatrix}\n", "\\qquad\n", "C\n", "= \\begin{bmatrix}\n", " 0 \\\\\n", " 0 \\\\\n", " 0\n", " \\end{bmatrix}\n", "$$\n", "\n", "It follows that\n", "\n", "$$\n", "A^t =\n", "\\begin{bmatrix}\n", " 1 & t & t(t-1)/2 \\\\\n", " 0 & 1 & t \\\\\n", " 0 & 0 & 1\n", "\\end{bmatrix}\n", "$$\n", "\n", "Then $ x_t^\\prime = \\begin{bmatrix} t(t-1)/2 &t & 1 \\end{bmatrix} $, so that $ x_t $ contains\n", "linear and quadratic time trends." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Moving Average Representations\n", "\n", "\n", "\n", "A nonrecursive expression for $ x_t $ as a function of\n", "$ x_0, w_1, w_2, \\ldots, w_t $ can be found by using [(1)](#equation-st-space-rep) repeatedly to obtain\n", "\n", "\n", "\n", "$$\n", "\\begin{aligned}\n", " x_t & = Ax_{t-1} + Cw_t \\\\\n", " & = A^2 x_{t-2} + ACw_{t-1} + Cw_t \\nonumber \\\\\n", " & \\qquad \\vdots \\nonumber \\\\\n", " & = \\sum_{j=0}^{t-1} A^j Cw_{t-j} + A^t x_0 \\nonumber\n", "\\end{aligned} \\tag{5}\n", "$$\n", "\n", "Representation [(5)](#equation-eqob5) is a *moving average* representation.\n", "\n", "It expresses $ \\{x_t\\} $ as a linear function of\n", "\n", "1. current and past values of the process $ \\{w_t\\} $ and \n", "1. the initial condition $ x_0 $ \n", "\n", "\n", "As an example of a moving average representation, let the model be\n", "\n", "$$\n", "A\n", "= \\begin{bmatrix}\n", " 1 & 1 \\\\\n", " 0 & 1\n", " \\end{bmatrix}\n", "\\qquad\n", "C\n", "= \\begin{bmatrix}\n", " 1 \\\\\n", " 0\n", " \\end{bmatrix}\n", "$$\n", "\n", "You will be able to show that $ A^t = \\begin{bmatrix} 1 & t \\cr 0 & 1 \\end{bmatrix} $ and $ A^j C = \\begin{bmatrix} 1 & 0 \\end{bmatrix}' $.\n", "\n", "Substituting into the moving average representation [(5)](#equation-eqob5), we obtain\n", "\n", "$$\n", "x_{1t} = \\sum_{j=0}^{t-1} w_{t-j} +\n", "\\begin{bmatrix}\n", " 1 & t\n", "\\end{bmatrix}\n", "x_0\n", "$$\n", "\n", "where $ x_{1t} $ is the first entry of $ x_t $.\n", "\n", "The first term on the right is a cumulated sum of martingale differences, and is therefore a [martingale](https://en.wikipedia.org/wiki/Martingale_%28probability_theory%29).\n", "\n", "The second term is a translated linear function of time.\n", "\n", "For this reason, $ x_{1t} $ is called a *martingale with drift*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Distributions and Moments\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Unconditional Moments\n", "\n", "Using [(1)](#equation-st-space-rep), it’s easy to obtain expressions for the\n", "(unconditional) means of $ x_t $ and $ y_t $.\n", "\n", "We’ll explain what *unconditional* and *conditional* mean soon.\n", "\n", "Letting $ \\mu_t := \\mathbb{E} [x_t] $ and using linearity of expectations, we\n", "find that\n", "\n", "\n", "\n", "$$\n", "\\mu_{t+1} = A \\mu_t\n", "\\quad \\text{with} \\quad \\mu_0 \\text{ given} \\tag{6}\n", "$$\n", "\n", "Here $ \\mu_0 $ is a primitive given in [(1)](#equation-st-space-rep).\n", "\n", "The variance-covariance matrix of $ x_t $ is $ \\Sigma_t := \\mathbb{E} [ (x_t - \\mu_t) (x_t - \\mu_t)'] $.\n", "\n", "Using $ x_{t+1} - \\mu_{t+1} = A (x_t - \\mu_t) + C w_{t+1} $, we can\n", "determine this matrix recursively via\n", "\n", "\n", "\n", "$$\n", "\\Sigma_{t+1} = A \\Sigma_t A' + C C'\n", "\\quad \\text{with} \\quad \\Sigma_0 \\text{ given} \\tag{7}\n", "$$\n", "\n", "As with $ \\mu_0 $, the matrix $ \\Sigma_0 $ is a primitive given in [(1)](#equation-st-space-rep).\n", "\n", "As a matter of terminology, we will sometimes call\n", "\n", "- $ \\mu_t $ the *unconditional mean* of $ x_t $ \n", "- $ \\Sigma_t $ the *unconditional variance-convariance matrix* of $ x_t $ \n", "\n", "\n", "This is to distinguish $ \\mu_t $ and $ \\Sigma_t $ from related objects that use conditioning\n", "information, to be defined below.\n", "\n", "However, you should be aware that these “unconditional” moments do depend on\n", "the initial distribution $ N(\\mu_0, \\Sigma_0) $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Moments of the Observations\n", "\n", "Using linearity of expectations again we have\n", "\n", "\n", "\n", "$$\n", "\\mathbb{E} [y_t] = \\mathbb{E} [G x_t] = G \\mu_t \\tag{8}\n", "$$\n", "\n", "The variance-covariance matrix of $ y_t $ is easily shown to be\n", "\n", "\n", "\n", "$$\n", "\\textrm{Var} [y_t] = \\textrm{Var} [G x_t] = G \\Sigma_t G' \\tag{9}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distributions\n", "\n", "\n", "\n", "In general, knowing the mean and variance-covariance matrix of a random vector\n", "is not quite as good as knowing the full distribution.\n", "\n", "However, there are some situations where these moments alone tell us all we\n", "need to know.\n", "\n", "These are situations in which the mean vector and covariance matrix are **sufficient statistics** for the population distribution.\n", "\n", "(Sufficient statistics form a list of objects that characterize a population distribution)\n", "\n", "One such situation is when the vector in question is Gaussian (i.e., normally\n", "distributed).\n", "\n", "This is the case here, given\n", "\n", "1. our Gaussian assumptions on the primitives \n", "1. the fact that normality is preserved under linear operations \n", "\n", "\n", "In fact, it’s [well-known](https://en.wikipedia.org/wiki/Multivariate_normal_distribution#Affine_transformation) that\n", "\n", "\n", "\n", "$$\n", "u \\sim N(\\bar u, S)\n", "\\quad \\text{and} \\quad\n", "v = a + B u\n", "\\implies\n", "v \\sim N(a + B \\bar u, B S B') \\tag{10}\n", "$$\n", "\n", "In particular, given our Gaussian assumptions on the primitives and the\n", "linearity of [(1)](#equation-st-space-rep) we can see immediately that both $ x_t $ and\n", "$ y_t $ are Gaussian for all $ t \\geq 0 $ [2].\n", "\n", "Since $ x_t $ is Gaussian, to find the distribution, all we need to do is\n", "find its mean and variance-covariance matrix.\n", "\n", "But in fact we’ve already done this, in [(6)](#equation-lss-mut-linear-models) and [(7)](#equation-eqsigmalaw-linear-models).\n", "\n", "Letting $ \\mu_t $ and $ \\Sigma_t $ be as defined by these equations,\n", "we have\n", "\n", "\n", "\n", "$$\n", "x_t \\sim N(\\mu_t, \\Sigma_t) \\tag{11}\n", "$$\n", "\n", "By similar reasoning combined with [(8)](#equation-lss-umy) and [(9)](#equation-lss-uvy),\n", "\n", "\n", "\n", "$$\n", "y_t \\sim N(G \\mu_t, G \\Sigma_t G') \\tag{12}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ensemble Interpretations\n", "\n", "How should we interpret the distributions defined by [(11)](#equation-lss-mgs-x)–[(12)](#equation-lss-mgs-y)?\n", "\n", "Intuitively, the probabilities in a distribution correspond to relative frequencies in a large population drawn from that distribution.\n", "\n", "Let’s apply this idea to our setting, focusing on the distribution of $ y_T $ for fixed $ T $.\n", "\n", "We can generate independent draws of $ y_T $ by repeatedly simulating the\n", "evolution of the system up to time $ T $, using an independent set of\n", "shocks each time.\n", "\n", "The next figure shows 20 simulations, producing 20 time series for $ \\{y_t\\} $, and hence 20 draws of $ y_T $.\n", "\n", "The system in question is the univariate autoregressive model [(3)](#equation-eq-ar-rep).\n", "\n", "The values of $ y_T $ are represented by black dots in the left-hand figure\n", "\n", "\n", "\n", " \n", "In the right-hand figure, these values are converted into a rotated histogram\n", "that shows relative frequencies from our sample of 20 $ y_T $’s.\n", "\n", "(The parameters and source code for the figures can be found in file [linear_models/paths_and_hist.jl](https://github.com/QuantEcon/lecture-source-jl/blob/master/rst_files/_static/code/linear_models/paths_and_hist.jl))\n", "\n", "Here is another figure, this time with 100 observations\n", "\n", "\n", "\n", " \n", "Let’s now try with 500,000 observations, showing only the histogram (without rotation)\n", "\n", "\n", "\n", " \n", "The black line is the population density of $ y_T $ calculated from [(12)](#equation-lss-mgs-y).\n", "\n", "The histogram and population distribution are close, as expected.\n", "\n", "By looking at the figures and experimenting with parameters, you will gain a\n", "feel for how the population distribution depends on the model primitives [listed above](#lss-pgs), as intermediated by\n", "the distribution’s sufficient statistics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Ensemble means\n", "\n", "In the preceding figure we approximated the population distribution of $ y_T $ by\n", "\n", "1. generating $ I $ sample paths (i.e., time series) where $ I $ is a large number \n", "1. recording each observation $ y^i_T $ \n", "1. histogramming this sample \n", "\n", "\n", "Just as the histogram approximates the population distribution, the *ensemble* or\n", "*cross-sectional average*\n", "\n", "$$\n", "\\bar y_T := \\frac{1}{I} \\sum_{i=1}^I y_T^i\n", "$$\n", "\n", "approximates the expectation $ \\mathbb{E} [y_T] = G \\mu_T $ (as implied by the law of large numbers).\n", "\n", "Here’s a simulation comparing the ensemble averages and population means at time points $ t=0,\\ldots,50 $.\n", "\n", "The parameters are the same as for the preceding figures,\n", "and the sample size is relatively small ($ I=20 $).\n", "\n", "\n", "\n", "\n", "\n", " \n", "The ensemble mean for $ x_t $ is\n", "\n", "$$\n", "\\bar x_T := \\frac{1}{I} \\sum_{i=1}^I x_T^i \\to \\mu_T\n", "\\qquad (I \\to \\infty)\n", "$$\n", "\n", "The limit $ \\mu_T $ is a “long-run average”.\n", "\n", "(By *long-run average* we mean the average for an infinite ($ I = \\infty $) number of sample $ x_T $’s)\n", "\n", "Another application of the law of large numbers assures us that\n", "\n", "$$\n", "\\frac{1}{I} \\sum_{i=1}^I (x_T^i - \\bar x_T) (x_T^i - \\bar x_T)' \\to \\Sigma_T\n", "\\qquad (I \\to \\infty)\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Joint Distributions\n", "\n", "In the preceding discussion we looked at the distributions of $ x_t $ and\n", "$ y_t $ in isolation.\n", "\n", "This gives us useful information, but doesn’t allow us to answer questions like\n", "\n", "- what’s the probability that $ x_t \\geq 0 $ for all $ t $? \n", "- what’s the probability that the process $ \\{y_t\\} $ exceeds some value $ a $ before falling below $ b $? \n", "- etc., etc. \n", "\n", "\n", "Such questions concern the *joint distributions* of these sequences.\n", "\n", "To compute the joint distribution of $ x_0, x_1, \\ldots, x_T $, recall\n", "that joint and conditional densities are linked by the rule\n", "\n", "$$\n", "p(x, y) = p(y \\, | \\, x) p(x)\n", "\\qquad \\text{(joint }=\\text{ conditional }\\times\\text{ marginal)}\n", "$$\n", "\n", "From this rule we get $ p(x_0, x_1) = p(x_1 \\,|\\, x_0) p(x_0) $.\n", "\n", "The Markov property $ p(x_t \\,|\\, x_{t-1}, \\ldots, x_0) = p(x_t \\,|\\, x_{t-1}) $ and repeated applications of the preceding rule lead us to\n", "\n", "$$\n", "p(x_0, x_1, \\ldots, x_T) = p(x_0) \\prod_{t=0}^{T-1} p(x_{t+1} \\,|\\, x_t)\n", "$$\n", "\n", "The marginal $ p(x_0) $ is just the primitive $ N(\\mu_0, \\Sigma_0) $.\n", "\n", "In view of [(1)](#equation-st-space-rep), the conditional densities are\n", "\n", "$$\n", "p(x_{t+1} \\,|\\, x_t) = N(Ax_t, C C')\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Autocovariance functions\n", "\n", "An important object related to the joint distribution is the *autocovariance function*\n", "\n", "\n", "\n", "$$\n", "\\Sigma_{t+j, t} := \\mathbb{E} [ (x_{t+j} - \\mu_{t+j})(x_t - \\mu_t)' ] \\tag{13}\n", "$$\n", "\n", "Elementary calculations show that\n", "\n", "\n", "\n", "$$\n", "\\Sigma_{t+j,t} = A^j \\Sigma_t \\tag{14}\n", "$$\n", "\n", "Notice that $ \\Sigma_{t+j,t} $ in general depends on both $ j $, the gap between the two dates, and $ t $, the earlier date." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stationarity and Ergodicity\n", "\n", "\n", "\n", "Stationarity and ergodicity are two properties that, when they hold, greatly aid analysis of linear state space models.\n", "\n", "Let’s start with the intuition." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing Stability\n", "\n", "Let’s look at some more time series from the same model that we analyzed above.\n", "\n", "This picture shows cross-sectional distributions for $ y $ at times\n", "$ T, T', T'' $\n", "\n", "\n", "\n", " \n", "Note how the time series “settle down” in the sense that the distributions at\n", "$ T' $ and $ T'' $ are relatively similar to each other — but unlike\n", "the distribution at $ T $.\n", "\n", "Apparently, the distributions of $ y_t $ converge to a fixed long-run\n", "distribution as $ t \\to \\infty $.\n", "\n", "When such a distribution exists it is called a *stationary distribution*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stationary Distributions\n", "\n", "In our setting, a distribution $ \\psi_{\\infty} $ is said to be *stationary* for $ x_t $ if\n", "\n", "$$\n", "x_t \\sim \\psi_{\\infty}\n", "\\quad \\text{and} \\quad\n", "x_{t+1} = A x_t + C w_{t+1}\n", "\\quad \\implies \\quad\n", "x_{t+1} \\sim \\psi_{\\infty}\n", "$$\n", "\n", "Since\n", "\n", "1. in the present case all distributions are Gaussian \n", "1. a Gaussian distribution is pinned down by its mean and variance-covariance matrix \n", "\n", "\n", "we can restate the definition as follows: $ \\psi_{\\infty} $ is stationary for $ x_t $ if\n", "\n", "$$\n", "\\psi_{\\infty}\n", "= N(\\mu_{\\infty}, \\Sigma_{\\infty})\n", "$$\n", "\n", "where $ \\mu_{\\infty} $ and $ \\Sigma_{\\infty} $ are fixed points of [(6)](#equation-lss-mut-linear-models) and [(7)](#equation-eqsigmalaw-linear-models) respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Covariance Stationary Processes\n", "\n", "Let’s see what happens to the preceding figure if we start $ x_0 $ at the stationary distribution.\n", "\n", "\n", "\n", "\n", "\n", " \n", "Now the differences in the observed distributions at $ T, T' $ and $ T'' $ come entirely from random fluctuations due to the finite sample size.\n", "\n", "By\n", "\n", "- our choosing $ x_0 \\sim N(\\mu_{\\infty}, \\Sigma_{\\infty}) $ \n", "- the definitions of $ \\mu_{\\infty} $ and $ \\Sigma_{\\infty} $ as fixed points of [(6)](#equation-lss-mut-linear-models) and [(7)](#equation-eqsigmalaw-linear-models) respectively \n", "\n", "\n", "we’ve ensured that\n", "\n", "$$\n", "\\mu_t = \\mu_{\\infty}\n", "\\quad \\text{and} \\quad\n", "\\Sigma_t = \\Sigma_{\\infty}\n", "\\quad \\text{for all } t\n", "$$\n", "\n", "Moreover, in view of [(14)](#equation-eqnautocov), the autocovariance function takes the form $ \\Sigma_{t+j,t} = A^j \\Sigma_\\infty $, which depends on $ j $ but not on $ t $.\n", "\n", "This motivates the following definition.\n", "\n", "A process $ \\{x_t\\} $ is said to be *covariance stationary* if\n", "\n", "- both $ \\mu_t $ and $ \\Sigma_t $ are constant in $ t $ \n", "- $ \\Sigma_{t+j,t} $ depends on the time gap $ j $ but not on time $ t $ \n", "\n", "\n", "In our setting, $ \\{x_t\\} $ will be covariance stationary if $ \\mu_0, \\Sigma_0, A, C $ assume values that imply that none of $ \\mu_t, \\Sigma_t, \\Sigma_{t+j,t} $ depends on $ t $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conditions for Stationarity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The globally stable case\n", "\n", "The difference equation $ \\mu_{t+1} = A \\mu_t $ is known to have *unique*\n", "fixed point $ \\mu_{\\infty} = 0 $ if all eigenvalues of $ A $ have moduli strictly less than unity.\n", "\n", "That is, if `all(abs(eigvals(A)) .< 1) == true`.\n", "\n", "The difference equation [(7)](#equation-eqsigmalaw-linear-models) also has a unique fixed point in this case, and, moreover\n", "\n", "$$\n", "\\mu_t \\to \\mu_{\\infty} = 0\n", "\\quad \\text{and} \\quad\n", "\\Sigma_t \\to \\Sigma_{\\infty}\n", "\\quad \\text{as} \\quad t \\to \\infty\n", "$$\n", "\n", "regardless of the initial conditions $ \\mu_0 $ and $ \\Sigma_0 $.\n", "\n", "This is the *globally stable case* — see these notes for more a theoretical treatment\n", "\n", "However, global stability is more than we need for stationary solutions, and often more than we want.\n", "\n", "To illustrate, consider [our second order difference equation example](#lss-sode).\n", "\n", "Here the state is $ x_t = \\begin{bmatrix} 1 & y_t & y_{t-1} \\end{bmatrix}' $.\n", "\n", "Because of the constant first component in the state vector, we will never have $ \\mu_t \\to 0 $.\n", "\n", "How can we find stationary solutions that respect a constant state component?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Processes with a constant state component\n", "\n", "To investigate such a process, suppose that $ A $ and $ C $ take the\n", "form\n", "\n", "$$\n", "A\n", " = \\begin{bmatrix}\n", " A_1 & a \\\\\n", " 0 & 1\n", "\\end{bmatrix}\n", " \\qquad\n", " C = \\begin{bmatrix}\n", " C_1 \\\\\n", " 0\n", "\\end{bmatrix}\n", "$$\n", "\n", "where\n", "\n", "- $ A_1 $ is an $ (n-1) \\times (n-1) $ matrix \n", "- $ a $ is an $ (n-1) \\times 1 $ column vector \n", "\n", "\n", "Let $ x_t = \\begin{bmatrix} x_{1t}' & 1 \\end{bmatrix}' $ where $ x_{1t} $ is $ (n-1) \\times 1 $.\n", "\n", "It follows that\n", "\n", "$$\n", "\\begin{aligned}\n", "x_{1,t+1} & = A_1 x_{1t} + a + C_1 w_{t+1} \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "Let $ \\mu_{1t} = \\mathbb{E} [x_{1t}] $ and take expectations on both sides of this expression to get\n", "\n", "\n", "\n", "$$\n", "\\mu_{1,t+1} = A_1 \\mu_{1,t} + a \\tag{15}\n", "$$\n", "\n", "Assume now that the moduli of the eigenvalues of $ A_1 $ are all strictly less than one.\n", "\n", "Then [(15)](#equation-eqob29) has a unique stationary solution, namely,\n", "\n", "$$\n", "\\mu_{1\\infty} = (I-A_1)^{-1} a\n", "$$\n", "\n", "The stationary value of $ \\mu_t $ itself is then $ \\mu_\\infty := \\begin{bmatrix}\n", "\\mu_{1\\infty}' & 1 \\end{bmatrix}' $.\n", "\n", "The stationary values of $ \\Sigma_t $ and $ \\Sigma_{t+j,t} $ satisfy\n", "\n", "\n", "\n", "$$\n", "\\begin{aligned}\n", "\\Sigma_\\infty & = A \\Sigma_\\infty A' + C C' \\\\\n", "\\Sigma_{t+j,t} & = A^j \\Sigma_\\infty \\nonumber\n", "\\end{aligned} \\tag{16}\n", "$$\n", "\n", "Notice that here $ \\Sigma_{t+j,t} $ depends on the time gap $ j $ but not on calendar time $ t $.\n", "\n", "In conclusion, if\n", "\n", "- $ x_0 \\sim N(\\mu_{\\infty}, \\Sigma_{\\infty}) $ and \n", "- the moduli of the eigenvalues of $ A_1 $ are all strictly less than unity \n", "\n", "\n", "then the $ \\{x_t\\} $ process is covariance stationary, with constant state\n", "component\n", "\n", ">**Note**\n", ">\n", ">If the eigenvalues of $ A_1 $ are less than unity in modulus, then\n", "(a) starting from any initial value, the mean and variance-covariance\n", "matrix both converge to their stationary values; and (b)\n", "iterations on [(7)](#equation-eqsigmalaw-linear-models) converge to the fixed point of the *discrete\n", "Lyapunov equation* in the first line of [(16)](#equation-eqnsigmainf)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ergodicity\n", "\n", "Let’s suppose that we’re working with a covariance stationary process.\n", "\n", "In this case we know that the ensemble mean will converge to $ \\mu_{\\infty} $ as the sample size $ I $ approaches infinity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Averages over time\n", "\n", "Ensemble averages across simulations are interesting theoretically, but in real life we usually observe only a *single* realization $ \\{x_t, y_t\\}_{t=0}^T $.\n", "\n", "So now let’s take a single realization and form the time series averages\n", "\n", "$$\n", "\\bar x := \\frac{1}{T} \\sum_{t=1}^T x_t\n", "\\quad \\text{and} \\quad\n", "\\bar y := \\frac{1}{T} \\sum_{t=1}^T y_t\n", "$$\n", "\n", "Do these time series averages converge to something interpretable in terms of our basic state-space representation?\n", "\n", "The answer depends on something called *ergodicity*.\n", "\n", "Ergodicity is the property that time series and ensemble averages coincide.\n", "\n", "More formally, ergodicity implies that time series sample averages converge to their\n", "expectation under the stationary distribution.\n", "\n", "In particular,\n", "\n", "- $ \\frac{1}{T} \\sum_{t=1}^T x_t \\to \\mu_{\\infty} $ \n", "- $ \\frac{1}{T} \\sum_{t=1}^T (x_t -\\bar x_T) (x_t - \\bar x_T)' \\to \\Sigma_\\infty $ \n", "- $ \\frac{1}{T} \\sum_{t=1}^T (x_{t+j} -\\bar x_T) (x_t - \\bar x_T)' \\to A^j \\Sigma_\\infty $ \n", "\n", "\n", "In our linear Gaussian setting, any covariance stationary process is also ergodic." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Noisy Observations\n", "\n", "In some settings the observation equation $ y_t = Gx_t $ is modified to\n", "include an error term.\n", "\n", "Often this error term represents the idea that the true state can only be\n", "observed imperfectly.\n", "\n", "To include an error term in the observation we introduce\n", "\n", "- An iid sequence of $ \\ell \\times 1 $ random vectors $ v_t \\sim N(0,I) $ \n", "- A $ k \\times \\ell $ matrix $ H $ \n", "\n", "\n", "and extend the linear state-space system to\n", "\n", "\n", "\n", "$$\n", "\\begin{aligned}\n", " x_{t+1} & = A x_t + C w_{t+1} \\\\\n", " y_t & = G x_t + H v_t \\nonumber \\\\\n", " x_0 & \\sim N(\\mu_0, \\Sigma_0) \\nonumber\n", "\\end{aligned} \\tag{17}\n", "$$\n", "\n", "The sequence $ \\{v_t\\} $ is assumed to be independent of $ \\{w_t\\} $.\n", "\n", "The process $ \\{x_t\\} $ is not modified by noise in the observation\n", "equation and its moments, distributions and stability properties remain the same.\n", "\n", "The unconditional moments of $ y_t $ from [(8)](#equation-lss-umy) and [(9)](#equation-lss-uvy)\n", "now become\n", "\n", "\n", "\n", "$$\n", "\\mathbb{E} [y_t] = \\mathbb{E} [G x_t + H v_t] = G \\mu_t \\tag{18}\n", "$$\n", "\n", "The variance-covariance matrix of $ y_t $ is easily shown to be\n", "\n", "\n", "\n", "$$\n", "\\textrm{Var} [y_t] = \\textrm{Var} [G x_t + H v_t] = G \\Sigma_t G' + HH' \\tag{19}\n", "$$\n", "\n", "The distribution of $ y_t $ is therefore\n", "\n", "$$\n", "y_t \\sim N(G \\mu_t, G \\Sigma_t G' + HH')\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prediction\n", "\n", "\n", "\n", "The theory of prediction for linear state space systems is elegant and\n", "simple.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Forecasting Formulas – Conditional Means\n", "\n", "The natural way to predict variables is to use conditional distributions.\n", "\n", "For example, the optimal forecast of $ x_{t+1} $ given information known at time $ t $ is\n", "\n", "$$\n", "\\mathbb{E}_t [x_{t+1}] := \\mathbb{E} [x_{t+1} \\mid x_t, x_{t-1}, \\ldots, x_0 ] = Ax_t\n", "$$\n", "\n", "The right-hand side follows from $ x_{t+1} = A x_t + C w_{t+1} $ and the\n", "fact that $ w_{t+1} $ is zero mean and independent of $ x_t, x_{t-1}, \\ldots, x_0 $.\n", "\n", "That $ \\mathbb{E}_t [x_{t+1}] = \\mathbb{E}[x_{t+1} \\mid x_t] $ is an implication of $ \\{x_t\\} $ having the *Markov property*.\n", "\n", "The one-step-ahead forecast error is\n", "\n", "$$\n", "x_{t+1} - \\mathbb{E}_t [x_{t+1}] = Cw_{t+1}\n", "$$\n", "\n", "The covariance matrix of the forecast error is\n", "\n", "$$\n", "\\mathbb{E} [ (x_{t+1} - \\mathbb{E}_t [ x_{t+1}] ) (x_{t+1} - \\mathbb{E}_t [ x_{t+1}])'] = CC'\n", "$$\n", "\n", "More generally, we’d like to compute the $ j $-step ahead forecasts $ \\mathbb{E}_t [x_{t+j}] $ and $ \\mathbb{E}_t [y_{t+j}] $.\n", "\n", "With a bit of algebra we obtain\n", "\n", "$$\n", "x_{t+j} = A^j x_t + A^{j-1} C w_{t+1} + A^{j-2} C w_{t+2}\n", "+ \\cdots + A^0 C w_{t+j}\n", "$$\n", "\n", "In view of the iid property, current and past state values provide no information about future values of the shock.\n", "\n", "Hence $ \\mathbb{E}_t[w_{t+k}] = \\mathbb{E}[w_{t+k}] = 0 $.\n", "\n", "It now follows from linearity of expectations that the $ j $-step ahead forecast of $ x $ is\n", "\n", "$$\n", "\\mathbb{E}_t [x_{t+j}] = A^j x_t\n", "$$\n", "\n", "The $ j $-step ahead forecast of $ y $ is therefore\n", "\n", "$$\n", "\\mathbb{E}_t [y_{t+j}]\n", "= \\mathbb{E}_t [G x_{t+j} + H v_{t+j}]\n", "= G A^j x_t\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Covariance of Prediction Errors\n", "\n", "It is useful to obtain the covariance matrix of the vector of $ j $-step-ahead prediction errors\n", "\n", "\n", "\n", "$$\n", "x_{t+j} - \\mathbb{E}_t [ x_{t+j}] = \\sum^{j-1}_{s=0} A^s C w_{t-s+j} \\tag{20}\n", "$$\n", "\n", "Evidently,\n", "\n", "\n", "\n", "$$\n", "V_j := \\mathbb{E}_t [ (x_{t+j} - \\mathbb{E}_t [x_{t+j}] ) (x_{t+j} - \\mathbb{E}_t [x_{t+j}] )^\\prime ] = \\sum^{j-1}_{k=0} A^k C C^\\prime A^{k^\\prime} \\tag{21}\n", "$$\n", "\n", "$ V_j $ defined in [(21)](#equation-eqob9a) can be calculated recursively via $ V_1 = CC' $ and\n", "\n", "\n", "\n", "$$\n", "V_j = CC^\\prime + A V_{j-1} A^\\prime, \\quad j \\geq 2 \\tag{22}\n", "$$\n", "\n", "$ V_j $ is the *conditional covariance matrix* of the errors in forecasting\n", "$ x_{t+j} $, conditioned on time $ t $ information $ x_t $.\n", "\n", "Under particular conditions, $ V_j $ converges to\n", "\n", "\n", "\n", "$$\n", "V_\\infty = CC' + A V_\\infty A' \\tag{23}\n", "$$\n", "\n", "Equation [(23)](#equation-eqob10) is an example of a *discrete Lyapunov* equation in the covariance matrix $ V_\\infty $.\n", "\n", "A sufficient condition for $ V_j $ to converge is that the eigenvalues of $ A $ be strictly less than one in modulus.\n", "\n", "Weaker sufficient conditions for convergence associate eigenvalues equaling or exceeding one in modulus with elements of $ C $ that equal $ 0 $.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Forecasts of Geometric Sums\n", "\n", "In several contexts, we want to compute forecasts of geometric sums of future random variables governed by the linear state-space system [(1)](#equation-st-space-rep).\n", "\n", "We want the following objects\n", "\n", "- Forecast of a geometric sum of future $ x $’s, or $ \\mathbb{E}_t \\left[ \\sum_{j=0}^\\infty \\beta^j x_{t+j} \\right] $. \n", "- Forecast of a geometric sum of future $ y $’s, or $ \\mathbb{E}_t \\left[\\sum_{j=0}^\\infty \\beta^j y_{t+j} \\right] $. \n", "\n", "\n", "These objects are important components of some famous and interesting dynamic models.\n", "\n", "For example,\n", "\n", "- if $ \\{y_t\\} $ is a stream of dividends, then $ \\mathbb{E} \\left[\\sum_{j=0}^\\infty \\beta^j y_{t+j} | x_t \\right] $ is a model of a stock price \n", "- if $ \\{y_t\\} $ is the money supply, then $ \\mathbb{E} \\left[\\sum_{j=0}^\\infty \\beta^j y_{t+j} | x_t \\right] $ is a model of the price level " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Formulas\n", "\n", "Fortunately, it is easy to use a little matrix algebra to compute these objects.\n", "\n", "Suppose that every eigenvalue of $ A $ has modulus strictly less than $ \\frac{1}{\\beta} $.\n", "\n", "It [then follows](linear_algebra.html#la-neumann-remarks) that $ I + \\beta A + \\beta^2 A^2 + \\cdots = \\left[I - \\beta A \\right]^{-1} $.\n", "\n", "This leads to our formulas:\n", "\n", "- Forecast of a geometric sum of future $ x $’s \n", "\n", "\n", "$$\n", "\\mathbb{E}_t \\left[\\sum_{j=0}^\\infty \\beta^j x_{t+j} \\right]\n", "= [I + \\beta A + \\beta^2 A^2 + \\cdots \\ ] x_t = [I - \\beta A]^{-1} x_t\n", "$$\n", "\n", "- Forecast of a geometric sum of future $ y $’s \n", "\n", "\n", "$$\n", "\\mathbb{E}_t \\left[\\sum_{j=0}^\\infty \\beta^j y_{t+j} \\right]\n", "= G [I + \\beta A + \\beta^2 A^2 + \\cdots \\ ] x_t\n", "= G[I - \\beta A]^{-1} x_t\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code\n", "\n", "Our preceding simulations and calculations are based on code in\n", "the file [lss.jl](https://github.com/QuantEcon/QuantEcon.jl/blob/master/src/lss.jl) from the [QuantEcon.jl](http://quantecon.org/quantecon-jl) package.\n", "\n", "The code implements a type which the linear state space models can act on directly through specific methods (for simulations, calculating moments, etc.).\n", "\n", "Examples of usage are given in the solutions to the exercises." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "\n", "Replicate [this figure](#lss-sode-fig) using the `LSS` type from `lss.jl`.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2\n", "\n", "Replicate [this figure](#lss-uap-fig) modulo randomness using the same type.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3\n", "\n", "Replicate [this figure](#lss-em-fig) modulo randomness using the same type.\n", "\n", "The state space model and parameters are the same as for the preceding exercise.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 4\n", "\n", "Replicate [this figure](#lss-s-fig) modulo randomness using the same type.\n", "\n", "The state space model and parameters are the same as for the preceding exercise, except that the initial condition is the stationary distribution.\n", "\n", "Hint: You can use the `stationary_distributions` method to get the initial conditions.\n", "\n", "The number of sample paths is 80, and the time horizon in the figure is 100.\n", "\n", "Producing the vertical bars and dots is optional, but if you wish to try,\n", "the bars are at dates 10, 50 and 75." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solutions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide-output": false }, "outputs": [], "source": [ "using QuantEcon, Plots\n", "gr(fmt=:png);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ϕ0, ϕ1, ϕ2 = 1.1, 0.8, -0.8\n", "\n", "A = [1.0 0.0 0\n", " ϕ0 ϕ1 ϕ2\n", " 0.0 1.0 0.0]\n", "C = zeros(3, 1)\n", "G = [0.0 1.0 0.0]\n", "μ_0 = ones(3)\n", "\n", "lss = LSS(A, C, G; mu_0=μ_0)\n", "\n", "x, y = simulate(lss, 50)\n", "plot(dropdims(y, dims = 1), color = :blue, linewidth = 2, alpha = 0.7)\n", "plot!(xlabel=\"time\", ylabel = \"y_t\", legend = :none)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Random\n", "Random.seed!(42) # For deterministic results.\n", "\n", "ϕ1, ϕ2, ϕ3, ϕ4 = 0.5, -0.2, 0, 0.5\n", "σ = 0.2\n", "\n", "A = [ϕ1 ϕ2 ϕ3 ϕ4\n", " 1.0 0.0 0.0 0.0\n", " 0.0 1.0 0.0 0.0\n", " 0.0 0.0 1.0 0.0]\n", "C = [σ\n", " 0.0\n", " 0.0\n", " 0.0]''\n", "G = [1.0 0.0 0.0 0.0]\n", "\n", "ar = LSS(A, C, G; mu_0 = ones(4))\n", "x, y = simulate(ar, 200)\n", "\n", "plot(dropdims(y, dims = 1), color = :blue, linewidth = 2, alpha = 0.7)\n", "plot!(xlabel=\"time\", ylabel = \"y_t\", legend = :none)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ϕ1, ϕ2, ϕ3, ϕ4 = 0.5, -0.2, 0, 0.5\n", "σ = 0.1\n", "\n", "A = [ ϕ1 ϕ2 ϕ3 ϕ4\n", " 1.0 0.0 0.0 0.0\n", " 0.0 1.0 0.0 0.0\n", " 0.0 0.0 1.0 0.0]\n", "C = [σ\n", " 0.0\n", " 0.0\n", " 0.0]\n", "G = [1.0 0.0 0.0 0.0]\n", "I = 20\n", "T = 50\n", "ar = LSS(A, C, G; mu_0 = ones(4))\n", "ymin, ymax = -0.5, 1.15\n", "\n", "ensemble_mean = zeros(T)\n", "ys = []\n", "for i ∈ 1:I\n", " x, y = simulate(ar, T)\n", " y = dropdims(y, dims = 1)\n", " push!(ys, y)\n", " ensemble_mean .+= y\n", "end\n", "\n", "ensemble_mean = ensemble_mean ./ I\n", "plot(ys, color = :blue, alpha = 0.2, linewidth = 0.8, label = \"\")\n", "plot!(ensemble_mean, color = :blue, linewidth = 2, label = \"y_t_bar\")\n", "m = moment_sequence(ar)\n", "pop_means = zeros(0)\n", "for (i, t) ∈ enumerate(m)\n", " (μ_x, μ_y, Σ_x, Σ_y) = t\n", " push!(pop_means, μ_y[1])\n", " i == 50 && break\n", "end\n", "plot!(pop_means, color = :green, linewidth = 2, label = \"G mu_t\")\n", "plot!(ylims=(ymin, ymax), xlabel = \"time\", ylabel = \"y_t\", legendfont = font(12))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 4" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ϕ1, ϕ2, ϕ3, ϕ4 = 0.5, -0.2, 0, 0.5\n", "σ = 0.1\n", "\n", "A = [ϕ1 ϕ2 ϕ3 ϕ4\n", " 1.0 0.0 0.0 0.0\n", " 0.0 1.0 0.0 0.0\n", " 0.0 0.0 1.0 0.0]\n", "C = [σ\n", " 0.0\n", " 0.0\n", " 0.0]''\n", "G = [1.0 0.0 0.0 0.0]\n", "\n", "T0 = 10\n", "T1 = 50\n", "T2 = 75\n", "T4 = 100\n", "\n", "ar = LSS(A, C, G; mu_0 = ones(4))\n", "ymin, ymax = -0.6, 0.6\n", "\n", "μ_x, μ_y, Σ_x, Σ_y = stationary_distributions(ar)\n", "ar = LSS(A, C, G; mu_0=μ_x, Sigma_0=Σ_x)\n", "colors = [\"c\", \"g\", \"b\"]\n", "\n", "ys = []\n", "x_scatter = []\n", "y_scatter = []\n", "for i ∈ 1:80\n", " rcolor = colors[rand(1:3)]\n", " x, y = simulate(ar, T4)\n", " y = dropdims(y, dims = 1)\n", " push!(ys, y)\n", " x_scatter = [x_scatter; T0; T1; T2]\n", " y_scatter = [y_scatter; y[T0]; y[T1]; y[T2]]\n", "end\n", "\n", "plot(ys, linewidth = 0.8, alpha = 0.5)\n", "plot!([T0 T1 T2; T0 T1 T2], [-1 -1 -1; 1 1 1], color = :black, legend = :none)\n", "scatter!(x_scatter, y_scatter, color = :black, alpha = 0.5)\n", "plot!(ylims=(ymin, ymax), ylabel = \"y_t\", xticks =[], yticks = ymin:0.2:ymax)\n", "plot!(annotations = [(T0+1, -0.55, \"T\");(T1+1, -0.55, \"T'\");(T2+1, -0.55, \"T''\")])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Footnotes**\n", "\n", "

[1] The eigenvalues of $ A $ are $ (1,-1, i,-i) $.\n", "\n", "

[2] The correct way to argue this is by induction. Suppose that\n", "$ x_t $ is Gaussian. Then [(1)](#equation-st-space-rep) and\n", "[(10)](#equation-lss-glig) imply that $ x_{t+1} $ is Gaussian. Since $ x_0 $\n", "is assumed to be Gaussian, it follows that every $ x_t $ is Gaussian.\n", "Evidently this implies that each $ y_t $ is Gaussian." ] } ], "metadata": { "date": 1580349910.7807603, "download_nb": 1, "download_nb_path": "https://julia.quantecon.org/", "filename": "linear_models.rst", "filename_with_path": "tools_and_techniques/linear_models", "kernelspec": { "display_name": "Julia 1.3.0", "language": "julia", "name": "julia-1.3" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.3.0" }, "title": "Linear State Space Models" }, "nbformat": 4, "nbformat_minor": 2 }