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#' expo.gibbs
#'
#' Simple Gibbs sampler demonstration on conditional exponentials from Chapter 1 (pages 25-27).
#'
#' @usage expo.gibbs(B,k,m)
#'
#' @param B an upper bound
#' @param k length of the subchains
#' @param m number of iterations
#'
#' @author Jeff Gill
#' @importFrom stats runif rexp
#' @export
expo.gibbs <- function(B=5, k=15, m=5000) {
x <- y <- NULL
while (length(x) < m) {
x.val <- c(runif(1,0,B),rep((B+1),length=k))
y.val <- c(runif(1,0,B),rep((B+1),length=k))
for (j in 2:(k+1)) {
while(x.val[j] > B) x.val[j] <- rexp(1,y.val[j-1])
while(y.val[j] > B) y.val[j] <- rexp(1,x.val[j])
}
x <- c(x,x.val[(k+1)])
y <- c(y,y.val[(k+1)])
}
return(cbind(x,y))
}
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