rStatWn2D: Simulation from the stationary density of a WN diffusion in...

In sdetorus: Statistical Tools for Toroidal Diffusions

Simulation from the stationary density of a WN diffusion in 2D

Description

Simulates from the stationary density of the WN diffusion in 2D.

Usage

rStatWn2D(n, mu, alpha, sigma, rho = 0)

Arguments

n	sample size.
mu	a vector of length 2 giving the mean.
alpha	vector of length 3 parametrizing the A matrix as in alphaToA.
sigma	vector of length 2 containing the square root of the diagonal of \Sigma, the diffusion matrix.
rho	correlation coefficient of \Sigma.

Value

A matrix of dimension c(n, 2) containing the samples from the stationary distribution.

Examples

set.seed(345567)
alpha <- c(2, 1, -1)
sigma <- c(1.5, 2)
Sigma <- diag(sigma^2)
A <- alphaToA(alpha = alpha, sigma = sigma)
mu <- c(pi, pi)
plot(rStatWn2D(n = 1000, mu = mu, alpha = alpha, sigma = sigma))
points(toPiInt(mvtnorm::rmvnorm(n = 1000, mean = mu,
                                sigma = solve(A) %*% Sigma / 2,
                                method = "chol")), col = 2)

sdetorus documentation built on Aug. 21, 2023, 1:08 a.m.