"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Continuous State Markov Chains\n",
"\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Contents\n",
"\n",
"- [Continuous State Markov Chains](#Continuous-State-Markov-Chains) \n",
" - [Overview](#Overview) \n",
" - [The Density Case](#The-Density-Case) \n",
" - [Beyond Densities](#Beyond-Densities) \n",
" - [Stability](#Stability) \n",
" - [Exercises](#Exercises) \n",
" - [Solutions](#Solutions) \n",
" - [Appendix](#Appendix) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overview\n",
"\n",
"In a [previous lecture](finite_markov.html) we learned about finite Markov chains, a relatively elementary class of stochastic dynamic models.\n",
"\n",
"The present lecture extends this analysis to continuous (i.e., uncountable) state Markov chains.\n",
"\n",
"Most stochastic dynamic models studied by economists either fit directly into this class or can be represented as continuous state Markov chains after minor modifications.\n",
"\n",
"In this lecture, our focus will be on continuous Markov models that\n",
"\n",
"- evolve in discrete time \n",
"- are often nonlinear \n",
"\n",
"\n",
"The fact that we accommodate nonlinear models here is significant, because\n",
"linear stochastic models have their own highly developed tool set, as we’ll\n",
"see [later on](../time_series_models/arma.html).\n",
"\n",
"The question that interests us most is: Given a particular stochastic dynamic\n",
"model, how will the state of the system evolve over time?\n",
"\n",
"In particular,\n",
"\n",
"- What happens to the distribution of the state variables? \n",
"- Is there anything we can say about the “average behavior” of these variables? \n",
"- Is there a notion of “steady state” or “long run equilibrium” that’s applicable to the model? \n",
" \n",
" - If so, how can we compute it? \n",
" \n",
"\n",
"\n",
"Answering these questions will lead us to revisit many of the topics that occupied us in the finite state case,\n",
"such as simulation, distribution dynamics, stability, ergodicity, etc.\n",
"\n",
">**Note**\n",
">\n",
">For some people, the term “Markov chain” always refers to a process with a\n",
"finite or discrete state space. We follow the mainstream\n",
"mathematical literature (e.g., [[MT09]](../zreferences.html#meyntweedie2009)) in using the term to refer to any discrete **time**\n",
"Markov process."
]
},
{
"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": true
},
"outputs": [],
"source": [
"using LinearAlgebra, Statistics\n",
"using KernelDensity, Distributions, Plots, QuantEcon, Random"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Density Case\n",
"\n",
"You are probably aware that some distributions can be represented by densities\n",
"and some cannot.\n",
"\n",
"(For example, distributions on the real numbers $ \\mathbb R $ that put positive probability\n",
"on individual points have no density representation)\n",
"\n",
"We are going to start our analysis by looking at Markov chains where the one step transition probabilities have density representations.\n",
"\n",
"The benefit is that the density case offers a very direct parallel to the finite case in terms of notation and intuition.\n",
"\n",
"Once we’ve built some intuition we’ll cover the general case."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Definitions and Basic Properties\n",
"\n",
"In our [lecture on finite Markov chains](finite_markov.html), we studied discrete time Markov chains that evolve on a finite state space $ S $.\n",
"\n",
"In this setting, the dynamics of the model are described by a stochastic matrix — a nonnegative square matrix $ P = P[i, j] $ such that each row $ P[i, \\cdot] $ sums to one.\n",
"\n",
"The interpretation of $ P $ is that $ P[i, j] $ represents the\n",
"probability of transitioning from state $ i $ to state $ j $ in one\n",
"unit of time.\n",
"\n",
"In symbols,\n",
"\n",
"$$\n",
"\\mathbb P \\{ X_{t+1} = j \\,|\\, X_t = i \\} = P[i, j]\n",
"$$\n",
"\n",
"Equivalently,\n",
"\n",
"- $ P $ can be thought of as a family of distributions $ P[i, \\cdot] $, one for each $ i \\in S $ \n",
"- $ P[i, \\cdot] $ is the distribution of $ X_{t+1} $ given $ X_t = i $ \n",
"\n",
"\n",
"(As you probably recall, when using Julia arrays, $ P[i, \\cdot] $ is expressed as `P[i,:]`)\n",
"\n",
"In this section, we’ll allow $ S $ to be a subset of $ \\mathbb R $, such as\n",
"\n",
"- $ \\mathbb R $ itself \n",
"- the positive reals $ (0, \\infty) $ \n",
"- a bounded interval $ (a, b) $ \n",
"\n",
"\n",
"The family of discrete distributions $ P[i, \\cdot] $ will be replaced by a family of densities $ p(x, \\cdot) $, one for each $ x \\in S $.\n",
"\n",
"Analogous to the finite state case, $ p(x, \\cdot) $ is to be understood as the distribution (density) of $ X_{t+1} $ given $ X_t = x $.\n",
"\n",
"More formally, a *stochastic kernel on* $ S $ is a function $ p \\colon S \\times S \\to \\mathbb R $ with the property that\n",
"\n",
"1. $ p(x, y) \\geq 0 $ for all $ x, y \\in S $ \n",
"1. $ \\int p(x, y) dy = 1 $ for all $ x \\in S $ \n",
"\n",
"\n",
"(Integrals are over the whole space unless otherwise specified)\n",
"\n",
"For example, let $ S = \\mathbb R $ and consider the particular stochastic\n",
"kernel $ p_w $ defined by\n",
"\n",
"\n",
"\n",
"$$\n",
"p_w(x, y) := \\frac{1}{\\sqrt{2 \\pi}} \\exp \\left\\{ - \\frac{(y - x)^2}{2} \\right\\} \\tag{1}\n",
"$$\n",
"\n",
"What kind of model does $ p_w $ represent?\n",
"\n",
"The answer is, the (normally distributed) random walk\n",
"\n",
"\n",
"\n",
"$$\n",
"X_{t+1} = X_t + \\xi_{t+1}\n",
"\\quad \\text{where} \\quad\n",
"\\{ \\xi_t \\} \\stackrel {\\textrm{ IID }} {\\sim} N(0, 1) \\tag{2}\n",
"$$\n",
"\n",
"To see this, let’s find the stochastic kernel $ p $ corresponding to [(2)](#equation-statd-rw).\n",
"\n",
"Recall that $ p(x, \\cdot) $ represents the distribution of $ X_{t+1} $ given $ X_t = x $.\n",
"\n",
"Letting $ X_t = x $ in [(2)](#equation-statd-rw) and considering the distribution of $ X_{t+1} $, we see that $ p(x, \\cdot) = N(x, 1) $.\n",
"\n",
"In other words, $ p $ is exactly $ p_w $, as defined in [(1)](#equation-statd-rwsk)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Connection to Stochastic Difference Equations\n",
"\n",
"In the previous section, we made the connection between stochastic difference\n",
"equation [(2)](#equation-statd-rw) and stochastic kernel [(1)](#equation-statd-rwsk).\n",
"\n",
"In economics and time series analysis we meet stochastic difference equations of all different shapes and sizes.\n",
"\n",
"It will be useful for us if we have some systematic methods for converting stochastic difference equations into stochastic kernels.\n",
"\n",
"To this end, consider the generic (scalar) stochastic difference equation given by\n",
"\n",
"\n",
"\n",
"$$\n",
"X_{t+1} = \\mu(X_t) + \\sigma(X_t) \\, \\xi_{t+1} \\tag{3}\n",
"$$\n",
"\n",
"Here we assume that\n",
"\n",
"- $ \\{ \\xi_t \\} \\stackrel {\\textrm{ IID }} {\\sim} \\phi $, where $ \\phi $ is a given density on $ \\mathbb R $ \n",
"- $ \\mu $ and $ \\sigma $ are given functions on $ S $, with $ \\sigma(x) > 0 $ for all $ x $ \n",
"\n",
"\n",
"**Example 1:** The random walk [(2)](#equation-statd-rw) is a special case of [(3)](#equation-statd-srs), with $ \\mu(x) = x $ and $ \\sigma(x) = 1 $.\n",
"\n",
"**Example 2:** Consider the [ARCH model](https://en.wikipedia.org/wiki/Autoregressive_conditional_heteroskedasticity)\n",
"\n",
"$$\n",
"X_{t+1} = \\alpha X_t + \\sigma_t \\, \\xi_{t+1},\n",
"\\qquad \\sigma^2_t = \\beta + \\gamma X_t^2,\n",
"\\qquad \\beta, \\gamma > 0\n",
"$$\n",
"\n",
"Alternatively, we can write the model as\n",
"\n",
"\n",
"\n",
"$$\n",
"X_{t+1} = \\alpha X_t + (\\beta + \\gamma X_t^2)^{1/2} \\xi_{t+1} \\tag{4}\n",
"$$\n",
"\n",
"This is a special case of [(3)](#equation-statd-srs) with $ \\mu(x) = \\alpha x $ and $ \\sigma(x) = (\\beta + \\gamma x^2)^{1/2} $.\n",
"\n",
"\n",
"\n",
"**Example 3:** With stochastic production and a constant savings rate, the one-sector neoclassical growth model leads to a law of motion for capital per worker such as\n",
"\n",
"\n",
"\n",
"$$\n",
"k_{t+1} = s A_{t+1} f(k_t) + (1 - \\delta) k_t \\tag{5}\n",
"$$\n",
"\n",
"Here\n",
"\n",
"- $ s $ is the rate of savings \n",
"- $ A_{t+1} $ is a production shock \n",
" \n",
" - The $ t+1 $ subscript indicates that $ A_{t+1} $ is not visible at time $ t $ \n",
" \n",
"- $ \\delta $ is a depreciation rate \n",
"- $ f \\colon \\mathbb R_+ \\to \\mathbb R_+ $ is a production function satisfying $ f(k) > 0 $ whenever $ k > 0 $ \n",
"\n",
"\n",
"(The fixed savings rate can be rationalized as the optimal policy for a particular set of technologies and preferences (see [[LS18]](../zreferences.html#ljungqvist2012), section\n",
"3.1.2), although we omit the details here)\n",
"\n",
"Equation [(5)](#equation-statd-ss) is a special case of [(3)](#equation-statd-srs) with $ \\mu(x) = (1 - \\delta)x $ and $ \\sigma(x) = s f(x) $.\n",
"\n",
"Now let’s obtain the stochastic kernel corresponding to the generic model [(3)](#equation-statd-srs).\n",
"\n",
"To find it, note first that if $ U $ is a random variable with\n",
"density $ f_U $, and $ V = a + b U $ for some constants $ a,b $\n",
"with $ b > 0 $, then the density of $ V $ is given by\n",
"\n",
"\n",
"\n",
"$$\n",
"f_V(v)\n",
"= \\frac{1}{b}\n",
"f_U \\left( \\frac{v - a}{b} \\right) \\tag{6}\n",
"$$\n",
"\n",
"(The proof is [below](#statd-appendix). For a multidimensional version\n",
"see [EDTC](http://johnstachurski.net/edtc.html), theorem 8.1.3)\n",
"\n",
"Taking [(6)](#equation-statd-dv) as given for the moment, we can\n",
"obtain the stochastic kernel $ p $ for [(3)](#equation-statd-srs) by recalling that\n",
"$ p(x, \\cdot) $ is the conditional density of $ X_{t+1} $ given\n",
"$ X_t = x $.\n",
"\n",
"In the present case, this is equivalent to stating that $ p(x, \\cdot) $ is the density of $ Y := \\mu(x) + \\sigma(x) \\, \\xi_{t+1} $ when $ \\xi_{t+1} \\sim \\phi $.\n",
"\n",
"Hence, by [(6)](#equation-statd-dv),\n",
"\n",
"\n",
"\n",
"$$\n",
"p(x, y)\n",
"= \\frac{1}{\\sigma(x)}\n",
"\\phi \\left( \\frac{y - \\mu(x)}{\\sigma(x)} \\right) \\tag{7}\n",
"$$\n",
"\n",
"For example, the growth model in [(5)](#equation-statd-ss) has stochastic kernel\n",
"\n",
"\n",
"\n",
"$$\n",
"p(x, y)\n",
"= \\frac{1}{sf(x)}\n",
"\\phi \\left( \\frac{y - (1 - \\delta) x}{s f(x)} \\right) \\tag{8}\n",
"$$\n",
"\n",
"where $ \\phi $ is the density of $ A_{t+1} $.\n",
"\n",
"(Regarding the state space $ S $ for this model, a natural choice is $ (0, \\infty) $ — in which case\n",
"$ \\sigma(x) = s f(x) $ is strictly positive for all $ s $ as required)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Distribution Dynamics\n",
"\n",
"In [this section](finite_markov.html#mc-md) of our lecture on **finite** Markov chains, we\n",
"asked the following question: If\n",
"\n",
"1. $ \\{X_t\\} $ is a Markov chain with stochastic matrix $ P $ \n",
"1. the distribution of $ X_t $ is known to be $ \\psi_t $ \n",
"\n",
"\n",
"then what is the distribution of $ X_{t+1} $?\n",
"\n",
"Letting $ \\psi_{t+1} $ denote the distribution of $ X_{t+1} $, the\n",
"answer [we gave](finite_markov.html#mc-fdd) was that\n",
"\n",
"$$\n",
"\\psi_{t+1}[j] = \\sum_{i \\in S} P[i,j] \\psi_t[i]\n",
"$$\n",
"\n",
"This intuitive equality states that the probability of being at $ j $\n",
"tomorrow is the probability of visiting $ i $ today and then going on to\n",
"$ j $, summed over all possible $ i $.\n",
"\n",
"In the density case, we just replace the sum with an integral and probability\n",
"mass functions with densities, yielding\n",
"\n",
"\n",
"\n",
"$$\n",
"\\psi_{t+1}(y) = \\int p(x,y) \\psi_t(x) \\, dx,\n",
"\\qquad \\forall y \\in S \\tag{9}\n",
"$$\n",
"\n",
"It is convenient to think of this updating process in terms of an operator.\n",
"\n",
"(An operator is just a function, but the term is usually reserved for a function that sends functions into functions)\n",
"\n",
"Let $ \\mathscr D $ be the set of all densities on $ S $, and let\n",
"$ P $ be the operator from $ \\mathscr D $ to itself that takes density\n",
"$ \\psi $ and sends it into new density $ \\psi P $, where the latter is\n",
"defined by\n",
"\n",
"\n",
"\n",
"$$\n",
"(\\psi P)(y) = \\int p(x,y) \\psi(x) dx \\tag{10}\n",
"$$\n",
"\n",
"This operator is usually called the *Markov operator* corresponding to $ p $\n",
"\n",
">**Note**\n",
">\n",
">Unlike most operators, we write $ P $ to the right of its argument,\n",
"instead of to the left (i.e., $ \\psi P $ instead of $ P \\psi $).\n",
"This is a common convention, with the intention being to maintain the\n",
"parallel with the finite case — see [here](finite_markov.html#mc-fddv).\n",
"\n",
"With this notation, we can write [(9)](#equation-statd-fdd) more succinctly as $ \\psi_{t+1}(y) = (\\psi_t P)(y) $ for all $ y $, or, dropping the $ y $ and letting “$ = $” indicate equality of functions,\n",
"\n",
"\n",
"\n",
"$$\n",
"\\psi_{t+1} = \\psi_t P \\tag{11}\n",
"$$\n",
"\n",
"Equation [(11)](#equation-statd-p) tells us that if we specify a distribution for $ \\psi_0 $, then the entire sequence\n",
"of future distributions can be obtained by iterating with $ P $.\n",
"\n",
"It’s interesting to note that [(11)](#equation-statd-p) is a deterministic difference equation.\n",
"\n",
"Thus, by converting a stochastic difference equation such as\n",
"[(3)](#equation-statd-srs) into a stochastic kernel $ p $ and hence an operator\n",
"$ P $, we convert a stochastic difference equation into a deterministic\n",
"one (albeit in a much higher dimensional space).\n",
"\n",
">**Note**\n",
">\n",
">Some people might be aware that discrete Markov chains are in fact\n",
"a special case of the continuous Markov chains we have just described. The reason is\n",
"that probability mass functions are densities with respect to\n",
"the [counting measure](https://en.wikipedia.org/wiki/Counting_measure)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Computation\n",
"\n",
"To learn about the dynamics of a given process, it’s useful to compute and study the sequences of densities generated by the model.\n",
"\n",
"One way to do this is to try to implement the iteration described by [(10)](#equation-def-dmo) and [(11)](#equation-statd-p) using numerical integration.\n",
"\n",
"However, to produce $ \\psi P $ from $ \\psi $ via [(10)](#equation-def-dmo), you\n",
"would need to integrate at every $ y $, and there is a continuum of such\n",
"$ y $.\n",
"\n",
"Another possibility is to discretize the model, but this introduces errors of unknown size.\n",
"\n",
"A nicer alternative in the present setting is to combine simulation with an elegant estimator called the *look ahead* estimator.\n",
"\n",
"Let’s go over the ideas with reference to the growth model [discussed above](#solow-swan), the dynamics of which we repeat here for convenience:\n",
"\n",
"\n",
"\n",
"$$\n",
"k_{t+1} = s A_{t+1} f(k_t) + (1 - \\delta) k_t \\tag{12}\n",
"$$\n",
"\n",
"Our aim is to compute the sequence $ \\{ \\psi_t \\} $ associated with this model and fixed initial condition $ \\psi_0 $.\n",
"\n",
"To approximate $ \\psi_t $ by simulation, recall that, by definition, $ \\psi_t $ is the density of $ k_t $ given $ k_0 \\sim \\psi_0 $.\n",
"\n",
"If we wish to generate observations of this random variable, all we need to do is\n",
"\n",
"1. draw $ k_0 $ from the specified initial condition $ \\psi_0 $ \n",
"1. draw the shocks $ A_1, \\ldots, A_t $ from their specified density $ \\phi $ \n",
"1. compute $ k_t $ iteratively via [(12)](#equation-statd-ss2) \n",
"\n",
"\n",
"If we repeat this $ n $ times, we get $ n $ independent observations $ k_t^1, \\ldots, k_t^n $.\n",
"\n",
"With these draws in hand, the next step is to generate some kind of representation of their distribution $ \\psi_t $.\n",
"\n",
"A naive approach would be to use a histogram, or perhaps a [smoothed histogram](https://en.wikipedia.org/wiki/Kernel_density_estimation) using the `kde` function from [KernelDensity.jl](https://github.com/JuliaStats/KernelDensity.jl).\n",
"\n",
"However, in the present setting there is a much better way to do this, based on the look-ahead estimator.\n",
"\n",
"With this estimator, to construct an estimate of $ \\psi_t $, we\n",
"actually generate $ n $ observations of $ k_{t-1} $, rather than $ k_t $.\n",
"\n",
"Now we take these $ n $ observations $ k_{t-1}^1, \\ldots,\n",
"k_{t-1}^n $ and form the estimate\n",
"\n",
"\n",
"\n",
"$$\n",
"\\psi_t^n(y) = \\frac{1}{n} \\sum_{i=1}^n p(k_{t-1}^i, y) \\tag{13}\n",
"$$\n",
"\n",
"where $ p $ is the growth model stochastic kernel in [(8)](#equation-statd-sssk).\n",
"\n",
"What is the justification for this slightly surprising estimator?\n",
"\n",
"The idea is that, by the strong [law of large numbers](lln_clt.html#lln-ksl),\n",
"\n",
"$$\n",
"\\frac{1}{n} \\sum_{i=1}^n p(k_{t-1}^i, y)\n",
"\\to\n",
"\\mathbb E p(k_{t-1}^i, y)\n",
"= \\int p(x, y) \\psi_{t-1}(x) \\, dx\n",
"= \\psi_t(y)\n",
"$$\n",
"\n",
"with probability one as $ n \\to \\infty $.\n",
"\n",
"Here the first equality is by the definition of $ \\psi_{t-1} $, and the\n",
"second is by [(9)](#equation-statd-fdd).\n",
"\n",
"We have just shown that our estimator $ \\psi_t^n(y) $ in [(13)](#equation-statd-lae1)\n",
"converges almost surely to $ \\psi_t(y) $, which is just what we want to compute.\n",
"\n",
"In fact much stronger convergence results are true (see, for example, this paper)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Implementation\n",
"\n",
"A function which calls an `LAE` type for estimating densities by this technique can be found in [lae.jl](https://github.com/QuantEcon/QuantEcon.jl/blob/master/src/lae.jl).\n",
"\n",
"This function returns the right-hand side of [(13)](#equation-statd-lae1) using\n",
"\n",
"- an object of type `LAE` that stores the stochastic kernel and the observations \n",
"- the value $ y $ as its second argument \n",
"\n",
"\n",
"The function is vectorized, in the sense that if `psi` is such an instance and `y` is an array, then the call `psi(y)` acts elementwise.\n",
"\n",
"(This is the reason that we reshaped `X` and `y` inside the type — to make vectorization work)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example\n",
"\n",
"The following code is example of usage for the stochastic growth model [described above](#solow-swan)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
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"
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using Distributions, StatsPlots, Plots, QuantEcon, Random\n",
"gr(fmt = :png)\n",
"Random.seed!(42) # For deterministic results.\n",
"\n",
"s = 0.2\n",
"δ = 0.1\n",
"a_σ = 0.4 # A = exp(B) where B ~ N(0, a_σ)\n",
"α = 0.4 # We set f(k) = k**α\n",
"ψ_0 = Beta(5.0, 5.0) # Initial distribution\n",
"ϕ = LogNormal(0.0, a_σ)\n",
"\n",
"function p(x, y)\n",
" # Stochastic kernel for the growth model with Cobb-Douglas production.\n",
" # Both x and y must be strictly positive.\n",
"\n",
" d = s * x.^α\n",
"\n",
" pdf_arg = clamp.((y .- (1-δ) .* x) ./ d, eps(), Inf)\n",
" return pdf.(ϕ, pdf_arg) ./ d\n",
"end\n",
"\n",
"n = 10000 # Number of observations at each date t\n",
"T = 30 # Compute density of k_t at 1,...,T+1\n",
"\n",
"# Generate matrix s.t. t-th column is n observations of k_t\n",
"k = zeros(n, T)\n",
"A = rand!(ϕ, zeros(n, T))\n",
"\n",
"# Draw first column from initial distribution\n",
"k[:, 1] = rand(ψ_0, n) ./ 2 # divide by 2 to match scale = 0.5 in py version\n",
"for t in 1:T-1\n",
" k[:, t+1] = s*A[:, t] .* k[:, t].^α + (1-δ) .* k[:, t]\n",
"end\n",
"\n",
"# Generate T instances of LAE using this data, one for each date t\n",
"laes = [LAE(p, k[:, t]) for t in T:-1:1]\n",
"\n",
"# Plot\n",
"ygrid = range(0.01, 4, length = 200)\n",
"laes_plot = []\n",
"colors = []\n",
"for i in 1:T\n",
" ψ = laes[i]\n",
" push!(laes_plot, lae_est(ψ , ygrid))\n",
" push!(colors, RGBA(0, 0, 0, 1 - (i - 1)/T))\n",
"end\n",
"plot(ygrid, laes_plot, color = reshape(colors, 1, length(colors)), lw = 2,\n",
" xlabel = \"capital\", legend = :none)\n",
"t = \"Density of k_1 (lighter) to k_T (darker) for T=$T\"\n",
"plot!(title = t)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The figure shows part of the density sequence $ \\{\\psi_t\\} $, with each\n",
"density computed via the look ahead estimator.\n",
"\n",
"Notice that the sequence of densities shown in the figure seems to be\n",
"converging — more on this in just a moment.\n",
"\n",
"Another quick comment is that each of these distributions could be interpreted\n",
"as a cross sectional distribution (recall [this discussion](finite_markov.html#mc-eg1-1))."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Beyond Densities\n",
"\n",
"Up until now, we have focused exclusively on continuous state Markov chains\n",
"where all conditional distributions $ p(x, \\cdot) $ are densities.\n",
"\n",
"As discussed above, not all distributions can be represented as densities.\n",
"\n",
"If the conditional distribution of $ X_{t+1} $ given $ X_t = x $\n",
"**cannot** be represented as a density for some $ x \\in S $, then we need a slightly\n",
"different theory.\n",
"\n",
"The ultimate option is to switch from densities to [probability measures](https://en.wikipedia.org/wiki/Probability_measure), but not all readers will\n",
"be familiar with measure theory.\n",
"\n",
"We can, however, construct a fairly general theory using distribution functions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example and Definitions\n",
"\n",
"To illustrate the issues, recall that Hopenhayn and Rogerson [[HR93]](../zreferences.html#hopenhaynrogerson1993) study a model of firm dynamics where individual firm productivity follows the exogenous process\n",
"\n",
"$$\n",
"X_{t+1} = a + \\rho X_t + \\xi_{t+1},\n",
"\\quad \\text{where} \\quad\n",
"\\{ \\xi_t \\} \\stackrel {\\textrm{ IID }} {\\sim} N(0, \\sigma^2)\n",
"$$\n",
"\n",
"As is, this fits into the density case we treated above.\n",
"\n",
"However, the authors wanted this process to take values in $ [0, 1] $, so they added boundaries at the end points 0 and 1.\n",
"\n",
"One way to write this is\n",
"\n",
"$$\n",
"X_{t+1} = h(a + \\rho X_t + \\xi_{t+1})\n",
"\\quad \\text{where} \\quad\n",
"h(x) := x \\, \\mathbf 1\\{0 \\leq x \\leq 1\\} + \\mathbf 1 \\{ x > 1\\}\n",
"$$\n",
"\n",
"If you think about it, you will see that for any given $ x \\in [0, 1] $,\n",
"the conditional distribution of $ X_{t+1} $ given $ X_t = x $\n",
"puts positive probability mass on 0 and 1.\n",
"\n",
"Hence it cannot be represented as a density.\n",
"\n",
"What we can do instead is use cumulative distribution functions (cdfs).\n",
"\n",
"To this end, set\n",
"\n",
"$$\n",
"G(x, y) := \\mathbb P \\{ h(a + \\rho x + \\xi_{t+1}) \\leq y \\}\n",
"\\qquad (0 \\leq x, y \\leq 1)\n",
"$$\n",
"\n",
"This family of cdfs $ G(x, \\cdot) $ plays a role analogous to the stochastic kernel in the density case.\n",
"\n",
"The distribution dynamics in [(9)](#equation-statd-fdd) are then replaced by\n",
"\n",
"\n",
"\n",
"$$\n",
"F_{t+1}(y) = \\int G(x,y) F_t(dx) \\tag{14}\n",
"$$\n",
"\n",
"Here $ F_t $ and $ F_{t+1} $ are cdfs representing the distribution of the current state and next period state.\n",
"\n",
"The intuition behind [(14)](#equation-statd-fddc) is essentially the same as for [(9)](#equation-statd-fdd)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Computation\n",
"\n",
"If you wish to compute these cdfs, you cannot use the look-ahead estimator as before.\n",
"\n",
"Indeed, you should not use any density estimator, since the objects you are\n",
"estimating/computing are not densities.\n",
"\n",
"One good option is simulation as before, combined with the [empirical distribution function](https://en.wikipedia.org/wiki/Empirical_distribution_function)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Stability\n",
"\n",
"In our [lecture](finite_markov.html) on finite Markov chains we also studied stationarity, stability and ergodicity.\n",
"\n",
"Here we will cover the same topics for the continuous case.\n",
"\n",
"We will, however, treat only the density case (as in [this section](#statd-density-case)), where the stochastic kernel is a family of densities.\n",
"\n",
"The general case is relatively similar — references are given below."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Theoretical Results\n",
"\n",
"Analogous to [the finite case](finite_markov.html#mc-stat-dd), given a stochastic kernel $ p $ and corresponding Markov operator as\n",
"defined in [(10)](#equation-def-dmo), a density $ \\psi^* $ on $ S $ is called\n",
"*stationary* for $ P $ if it is a fixed point of the operator $ P $.\n",
"\n",
"In other words,\n",
"\n",
"\n",
"\n",
"$$\n",
"\\psi^*(y) = \\int p(x,y) \\psi^*(x) \\, dx,\n",
"\\qquad \\forall y \\in S \\tag{15}\n",
"$$\n",
"\n",
"As with the finite case, if $ \\psi^* $ is stationary for $ P $, and\n",
"the distribution of $ X_0 $ is $ \\psi^* $, then, in view of\n",
"[(11)](#equation-statd-p), $ X_t $ will have this same distribution for all $ t $.\n",
"\n",
"Hence $ \\psi^* $ is the stochastic equivalent of a steady state.\n",
"\n",
"In the finite case, we learned that at least one stationary distribution exists, although there may be many.\n",
"\n",
"When the state space is infinite, the situation is more complicated.\n",
"\n",
"Even existence can fail very easily.\n",
"\n",
"For example, the random walk model has no stationary density (see, e.g., [EDTC](http://johnstachurski.net/edtc.html), p. 210).\n",
"\n",
"However, there are well-known conditions under which a stationary density $ \\psi^* $ exists.\n",
"\n",
"With additional conditions, we can also get a unique stationary density ($ \\psi \\in \\mathscr D \\text{ and } \\psi = \\psi P \\implies \\psi = \\psi^* $), and also global convergence in the sense that\n",
"\n",
"\n",
"\n",
"$$\n",
"\\forall \\, \\psi \\in \\mathscr D, \\quad \\psi P^t \\to \\psi^*\n",
" \\quad \\text{as} \\quad t \\to \\infty \\tag{16}\n",
"$$\n",
"\n",
"This combination of existence, uniqueness and global convergence in the sense\n",
"of [(16)](#equation-statd-dca) is often referred to as *global stability*.\n",
"\n",
"Under very similar conditions, we get *ergodicity*, which means that\n",
"\n",
"\n",
"\n",
"$$\n",
"\\frac{1}{n} \\sum_{t = 1}^n h(X_t) \\to \\int h(x) \\psi^*(x) dx\n",
" \\quad \\text{as } n \\to \\infty \\tag{17}\n",
"$$\n",
"\n",
"for any ([measurable](https://en.wikipedia.org/wiki/Measurable_function)) function $ h \\colon S \\to \\mathbb R $ such that the right-hand side is finite.\n",
"\n",
"Note that the convergence in [(17)](#equation-statd-lln) does not depend on the distribution (or value) of $ X_0 $.\n",
"\n",
"This is actually very important for simulation — it means we can learn about $ \\psi^* $ (i.e., approximate the right hand side of [(17)](#equation-statd-lln) via the left hand side) without requiring any special knowledge about what to do with $ X_0 $.\n",
"\n",
"So what are these conditions we require to get global stability and ergodicity?\n",
"\n",
"In essence, it must be the case that\n",
"\n",
"1. Probability mass does not drift off to the “edges” of the state space \n",
"1. Sufficient “mixing” obtains \n",
"\n",
"\n",
"For one such set of conditions see theorem 8.2.14 of [EDTC](http://johnstachurski.net/edtc.html).\n",
"\n",
"In addition\n",
"\n",
"- [[SLP89]](../zreferences.html#stokeylucas1989) contains a classic (but slightly outdated) treatment of these topics. \n",
"- From the mathematical literature, [[LM94]](../zreferences.html#lasotamackey1994) and [[MT09]](../zreferences.html#meyntweedie2009) give outstanding in depth treatments. \n",
"- Section 8.1.2 of [EDTC](http://johnstachurski.net/edtc.html) provides detailed intuition, and section 8.3 gives additional references. \n",
"- [EDTC](http://johnstachurski.net/edtc.html), section 11.3.4\n",
" provides a specific treatment for the growth model we considered in this\n",
" lecture. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### An Example of Stability\n",
"\n",
"As stated above, the [growth model treated here](#solow-swan) is stable under mild conditions\n",
"on the primitives.\n",
"\n",
"- See [EDTC](http://johnstachurski.net/edtc.html), section 11.3.4 for more details. \n",
"\n",
"\n",
"We can see this stability in action — in particular, the convergence in [(16)](#equation-statd-dca) — by simulating the path of densities from various initial conditions.\n",
"\n",
"Here is such a figure\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"All sequences are converging towards the same limit, regardless of their initial condition.\n",
"\n",
"The details regarding initial conditions and so on are given in [this exercise](#statd-ex2), where you are asked to replicate the figure."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Computing Stationary Densities\n",
"\n",
"In the preceding figure, each sequence of densities is converging towards the unique stationary density $ \\psi^* $.\n",
"\n",
"Even from this figure we can get a fair idea what $ \\psi^* $ looks like, and where its mass is located.\n",
"\n",
"However, there is a much more direct way to estimate the stationary density,\n",
"and it involves only a slight modification of the look ahead estimator.\n",
"\n",
"Let’s say that we have a model of the form [(3)](#equation-statd-srs) that is stable and\n",
"ergodic.\n",
"\n",
"Let $ p $ be the corresponding stochastic kernel, as given in [(7)](#equation-statd-srssk).\n",
"\n",
"To approximate the stationary density $ \\psi^* $, we can simply generate a\n",
"long time series $ X_0, X_1, \\ldots, X_n $ and estimate $ \\psi^* $ via\n",
"\n",
"\n",
"\n",
"$$\n",
"\\psi_n^*(y) = \\frac{1}{n} \\sum_{t=1}^n p(X_t, y) \\tag{18}\n",
"$$\n",
"\n",
"This is essentially the same as the look ahead estimator [(13)](#equation-statd-lae1),\n",
"except that now the observations we generate are a single time series, rather\n",
"than a cross section.\n",
"\n",
"The justification for [(18)](#equation-statd-lae2) is that, with probability one as $ n \\to \\infty $,\n",
"\n",
"$$\n",
"\\frac{1}{n} \\sum_{t=1}^n p(X_t, y)\n",
"\\to\n",
"\\int p(x, y) \\psi^*(x) \\, dx\n",
"= \\psi^*(y)\n",
"$$\n",
"\n",
"where the convergence is by [(17)](#equation-statd-lln) and the equality on the right is by\n",
"[(15)](#equation-statd-dsd).\n",
"\n",
"The right hand side is exactly what we want to compute.\n",
"\n",
"On top of this asymptotic result, it turns out that the rate of convergence\n",
"for the look ahead estimator is very good.\n",
"\n",
"The first exercise helps illustrate this point."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercises\n",
"\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 1\n",
"\n",
"Consider the simple threshold autoregressive model\n",
"\n",
"\n",
"\n",
"$$\n",
"X_{t+1} = \\theta |X_t| + (1- \\theta^2)^{1/2} \\xi_{t+1}\n",
"\\qquad \\text{where} \\quad\n",
"\\{ \\xi_t \\} \\stackrel {\\textrm{ IID }} {\\sim} N(0, 1) \\tag{19}\n",
"$$\n",
"\n",
"This is one of those rare nonlinear stochastic models where an analytical\n",
"expression for the stationary density is available.\n",
"\n",
"In particular, provided that $ |\\theta| < 1 $, there is a unique\n",
"stationary density $ \\psi^* $ given by\n",
"\n",
"\n",
"\n",
"$$\n",
"\\psi^*(y) = 2 \\, \\phi(y) \\, \\Phi\n",
"\\left[\n",
" \\frac{\\theta y}{(1 - \\theta^2)^{1/2}}\n",
"\\right] \\tag{20}\n",
"$$\n",
"\n",
"Here $ \\phi $ is the standard normal density and $ \\Phi $ is the standard normal cdf.\n",
"\n",
"As an exercise, compute the look ahead estimate of $ \\psi^* $, as defined\n",
"in [(18)](#equation-statd-lae2), and compare it with $ \\psi^* $ in [(20)](#equation-statd-tar-ts) to see whether they\n",
"are indeed close for large $ n $.\n",
"\n",
"In doing so, set $ \\theta = 0.8 $ and $ n = 500 $.\n",
"\n",
"The next figure shows the result of such a computation\n",
"\n",
"\n",
"\n",
" \n",
"The additional density (black line) is a [nonparametric kernel density estimate](https://en.wikipedia.org/wiki/Kernel_density_estimation), added to the solution for illustration.\n",
"\n",
"(You can try to replicate it before looking at the solution if you want to)\n",
"\n",
"As you can see, the look ahead estimator is a much tighter fit than the kernel\n",
"density estimator.\n",
"\n",
"If you repeat the simulation you will see that this is consistently the case.\n",
"\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 2\n",
"\n",
"Replicate the figure on global convergence [shown above](#statd-egs).\n",
"\n",
"The densities come from the stochastic growth model treated [at the start of the lecture](#solow-swan).\n",
"\n",
"Begin with the code found in [stochasticgrowth.py](https://github.com/QuantEcon/QuantEcon.lectures.code/blob/master/stationary_densities/stochasticgrowth.jl).\n",
"\n",
"Use the same parameters.\n",
"\n",
"For the four initial distributions, use the beta distribution and shift the random draws as shown below\n",
"\n",
"> "
]
},
{
"cell_type": "markdown",
"metadata": {
"hide-output": false
},
"source": [
"```text\n",
"ψ_0 = Beta(5.0, 5.0) # Initial distribution\n",
"n = 1000\n",
"# .... more setup\n",
"\n",
"for i in 1:4\n",
" # .... some code\n",
" rand_draws = (rand(ψ_0, n) .+ 2.5i) ./ 2\n",
"```\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 3\n",
"\n",
"A common way to compare distributions visually is with [boxplots](https://en.wikipedia.org/wiki/Box_plot).\n",
"\n",
"To illustrate, let’s generate three artificial data sets and compare them with a boxplot"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"hide-output": false
},
"outputs": [
{
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"
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"n = 500\n",
"x = randn(n) # N(0, 1)\n",
"x = exp.(x) # Map x to lognormal\n",
"y = randn(n) .+ 2.0 # N(2, 1)\n",
"z = randn(n) .+ 4.0 # N(4, 1)\n",
"data = vcat(x, y, z)\n",
"l = [\"X\" \"Y\" \"Z\"]\n",
"xlabels = reshape(repeat(l, n), 3n, 1)\n",
"\n",
"boxplot(xlabels, data, label = \"\", ylims = (-2, 14))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The three data sets are\n",
"\n",
"$$\n",
"\\{ X_1, \\ldots, X_n \\} \\sim LN(0, 1), \\;\\;\n",
"\\{ Y_1, \\ldots, Y_n \\} \\sim N(2, 1), \\;\\;\n",
"\\text{ and } \\;\n",
"\\{ Z_1, \\ldots, Z_n \\} \\sim N(4, 1), \\;\n",
"$$\n",
"\n",
"The figure looks as follows.\n",
"\n",
"Each data set is represented by a box, where the top and bottom of the box are the third and first quartiles of the data, and the red line in the center is the median.\n",
"\n",
"The boxes give some indication as to\n",
"\n",
"- the location of probability mass for each sample \n",
"- whether the distribution is right-skewed (as is the lognormal distribution), etc \n",
"\n",
"\n",
"Now let’s put these ideas to use in a simulation.\n",
"\n",
"Consider the threshold autoregressive model in [(19)](#equation-statd-tar).\n",
"\n",
"We know that the distribution of $ X_t $ will converge to [(20)](#equation-statd-tar-ts) whenever $ |\\theta| < 1 $.\n",
"\n",
"Let’s observe this convergence from different initial conditions using\n",
"boxplots.\n",
"\n",
"In particular, the exercise is to generate J boxplot figures, one for each initial condition $ X_0 $ in"
]
},
{
"cell_type": "markdown",
"metadata": {
"hide-output": false
},
"source": [
"```julia\n",
"initial_conditions = range(8, 0, length = J)\n",
"```\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each $ X_0 $ in this set,\n",
"\n",
"1. Generate $ k $ time series of length $ n $, each starting at $ X_0 $ and obeying [(19)](#equation-statd-tar). \n",
"1. Create a boxplot representing $ n $ distributions, where the $ t $-th distribution shows the $ k $ observations of $ X_t $. \n",
"\n",
"\n",
"Use $ \\theta = 0.9, n = 20, k = 5000, J = 8 $."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solutions"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"hide-output": false
},
"outputs": [],
"source": [
"using KernelDensity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 1\n",
"\n",
"Look ahead estimation of a TAR stationary density, where the TAR model\n",
"is\n",
"\n",
"$$\n",
"X_{t+1} = \\theta |X_t| + (1 - \\theta^2)^{1/2} \\xi_{t+1}\n",
"$$\n",
"\n",
"and $ \\xi_t \\sim N(0,1) $. Try running at n = 10, 100, 1000, 10000\n",
"to get an idea of the speed of convergence."
]
},
{
"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": [
"ϕ = Normal()\n",
"n = 500\n",
"θ = 0.8\n",
"d = sqrt(1.0 - θ^2)\n",
"δ = θ / d\n",
"\n",
"# true density of TAR model\n",
"ψ_star(y) = 2 .* pdf.(ϕ, y) .* cdf.(ϕ, δ * y)\n",
"\n",
"# Stochastic kernel for the TAR model.\n",
"p_TAR(x, y) = pdf.(ϕ, (y .- θ .* abs.(x)) ./ d) ./ d\n",
"\n",
"Z = rand(ϕ, n)\n",
"X = zeros(n)\n",
"for t in 1:n-1\n",
" X[t+1] = θ * abs(X[t]) + d * Z[t]\n",
"end\n",
"\n",
"ψ_est(a) = lae_est(LAE(p_TAR, X), a)\n",
"k_est = kde(X)\n",
"\n",
"ys = range(-3, 3, length = 200)\n",
"plot(ys, ψ_star(ys), color=:blue, lw = 2, alpha = 0.6, label = \"true\")\n",
"plot!(ys, ψ_est(ys), color=:green, lw = 2, alpha = 0.6, label = \"look ahead estimate\")\n",
"plot!(k_est.x, k_est.density, color = :black, lw = 2, alpha = 0.6,\n",
" label = \"kernel based estimate\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 2\n",
"\n",
"Here’s one program that does the job."
]
},
{
"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": [
"s = 0.2\n",
"δ = 0.1\n",
"a_σ = 0.4 # A = exp(B) where B ~ N(0, a_σ)\n",
"α = 0.4 # We set f(k) = k**α\n",
"ψ_0 = Beta(5.0, 5.0) # Initial distribution\n",
"ϕ = LogNormal(0.0, a_σ)\n",
"\n",
"function p_growth(x, y)\n",
" # Stochastic kernel for the growth model with Cobb-Douglas production.\n",
" # Both x and y must be strictly positive.\n",
"\n",
" d = s * x.^α\n",
"\n",
" pdf_arg = clamp.((y .- (1-δ) .* x) ./ d, eps(), Inf)\n",
" return pdf.(ϕ, pdf_arg) ./ d\n",
"end\n",
"\n",
"n = 1000 # Number of observations at each date t\n",
"T = 40 # Compute density of k_t at 1,...,T+1\n",
"\n",
"xmax = 6.5\n",
"ygrid = range(0.01, xmax, length = 150)\n",
"laes_plot = zeros(length(ygrid), 4T)\n",
"colors = []\n",
"for i in 1:4\n",
" k = zeros(n, T)\n",
" A = rand!(ϕ, zeros(n, T))\n",
"\n",
" # Draw first column from initial distribution\n",
" # match scale = 0.5 and loc = 2i in julia version\n",
" k[:, 1] = (rand(ψ_0, n) .+ 2.5i) ./ 2\n",
" for t in 1:T-1\n",
" k[:, t+1] = s * A[:, t] .* k[:, t].^α + (1 - δ) .* k[:, t]\n",
" end\n",
"\n",
" # Generate T instances of LAE using this data, one for each date t\n",
" laes = [LAE(p_growth, k[:, t]) for t in T:-1:1]\n",
" ind = i\n",
" for j in 1:T\n",
" ψ = laes[j]\n",
" laes_plot[:, ind] = lae_est(ψ, ygrid)\n",
" ind = ind + 4\n",
" push!(colors, RGBA(0, 0, 0, 1 - (j - 1) / T))\n",
" end\n",
"end\n",
"\n",
"#colors = reshape(reshape(colors, T, 4)', 4*T, 1)\n",
"colors = reshape(colors, 1, length(colors))\n",
"plot(ygrid, laes_plot, layout = (2,2), color = colors,\n",
" legend = :none, xlabel = \"capital\", xlims = (0, xmax))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 3\n",
"\n",
"Here’s a possible solution.\n",
"\n",
"Note the way we use vectorized code to simulate the $ k $ time\n",
"series for one boxplot all at once."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"hide-output": false
},
"outputs": [],
"source": [
"n = 20\n",
"k = 5000\n",
"J = 6\n",
"\n",
"θ = 0.9\n",
"d = sqrt(1 - θ^2)\n",
"δ = θ / d\n",
"\n",
"initial_conditions = range(8, 0, length = J)\n",
"\n",
"Z = randn(k, n, J)\n",
"titles = []\n",
"data = []\n",
"x_labels = []\n",
"for j in 1:J\n",
" title = \"time series from t = $(initial_conditions[j])\"\n",
" push!(titles, title)\n",
"\n",
" X = zeros(k, n)\n",
" X[:, 1] .= initial_conditions[j]\n",
" labels = []\n",
" labels = vcat(labels, ones(k, 1))\n",
" for t in 2:n\n",
" X[:, t] = θ .* abs.(X[:, t-1]) .+ d .* Z[:, t, j]\n",
" labels = vcat(labels, t*ones(k, 1))\n",
" end\n",
" X = reshape(X, n*k, 1)\n",
" push!(data, X)\n",
" push!(x_labels, labels)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
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"
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plots = []\n",
"for i in 1:J\n",
" push!(plots, boxplot(vec(x_labels[i]), vec(data[i]), title = titles[i]))\n",
"end\n",
"plot(plots..., layout = (J, 1), legend = :none, size = (800, 2000))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Appendix\n",
"\n",
"\n",
"\n",
"Here’s the proof of [(6)](#equation-statd-dv).\n",
"\n",
"Let $ F_U $ and $ F_V $ be the cumulative distributions of $ U $ and $ V $ respectively.\n",
"\n",
"By the definition of $ V $, we have $ F_V(v) = \\mathbb P \\{ a + b U \\leq v \\} = \\mathbb P \\{ U \\leq (v - a) / b \\} $.\n",
"\n",
"In other words, $ F_V(v) = F_U ( (v - a)/b ) $.\n",
"\n",
"Differentiating with respect to $ v $ yields [(6)](#equation-statd-dv)."
]
}
],
"metadata": {
"date": 1591310629.7808886,
"download_nb": 1,
"download_nb_path": "https://julia.quantecon.org/",
"filename": "stationary_densities.rst",
"filename_with_path": "tools_and_techniques/stationary_densities",
"kernelspec": {
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