{ "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", "# optionally add arguments to force installation: instantiate = true, precompile = true\n", "github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.8.0\")" ] }, { "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": 1591310628.7531135, "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 1.4.2", "language": "julia", "name": "julia-1.4" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.4.2" }, "title": "Linear State Space Models" }, "nbformat": 4, "nbformat_minor": 2 }