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#' Simulate Z given its expectation and covariance
#'
#' Simulate Z given its expectation and covariance
#'
#'
#' @usage simZ(EZ, rho, s2 = 1)
#' @param EZ expected value of Z
#' @param rho dyadic correlation
#' @param s2 dyadic variance
#' @return a simulated value of Z
#' @author Peter Hoff
#' @export simZ
simZ <-
function(EZ,rho,s2=1)
{
c<-(sqrt(1+rho) + sqrt(1-rho))/2
d<-(sqrt(1+rho) - sqrt(1-rho))/2
EC<-matrix(rnorm(length(EZ)),nrow(EZ),nrow(EZ))
EC<- sqrt(s2)*( c*EC + d*t(EC) )
EZ+EC
}
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