{ "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": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[32m\u001b[1mActivated\u001b[0m /home/qebuild/repos/lecture-source-jl/_build/website/jupyter/Project.toml\u001b[39m\n", "\u001b[36m\u001b[1mInfo\u001b[0m quantecon-notebooks-julia 0.1.0 activated, 0.2.0 requested\u001b[39m\n" ] } ], "source": [ "using InstantiateFromURL\n", "github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.2.0\")" ] }, { "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](https://lectures.quantecon.org/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/julia_index.html) 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": [ { "name": "stderr", "output_type": "stream", "text": [ "┌ Info: Recompiling stale cache file /home/qebuild/.julia/compiled/v1.2/QuantEcon/V0Mv9.ji for QuantEcon [fcd29c91-0bd7-5a09-975d-7ac3f643a60c]\n", "└ @ Base loading.jl:1240\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: DSP.TFFilter is deprecated, use PolynomialRatio instead.\n", " likely near /home/qebuild/.julia/packages/QuantEcon/Iww9D/src/QuantEcon.jl:12\n", "WARNING: importing deprecated binding DSP.TFFilter into QuantEcon.\n" ] } ], "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": { "filename": "linear_models.rst", "kernelspec": { "display_name": "Julia 1.2", "language": "julia", "name": "julia-1.2" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.2.0" }, "title": "Linear State Space Models" }, "nbformat": 4, "nbformat_minor": 2 }