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# approximation to MVN rectangle probabilities using methods
# in Joe (1995), JASA
mvnapp<- function(lb, ub, mu, sigma, type=1, eps = 1.e-05, nsim=0)
{
#if(!is.loaded(symbol.C("mvnapp"))) dyn.load("./mvn.so")
m <- length(ub)
if(m>=8 && nsim==0) nsim<-10000
if(m!=length(lb)) stop("lengths of w and x must be the same")
tem <- sqrt(diag(sigma))
w <- (lb - mu)/tem
x <- (ub - mu)/tem
tem <- diag(1/tem)
corr <- tem %*% sigma %*% tem
corr<-c(corr)
if(eps<1.e-06) eps<- 1.e-06
# print(w)
# print(x)
# print(corr)
# print(inf)
perr <- 0.
# nsim<-0
ifail<-0
out <- .C("mvnapp",
as.integer(type), as.integer(m), as.double(w),
as.double(x), as.double(corr), as.integer(nsim),
as.double(eps), prob = as.double(perr), perr = as.double(perr),
ifail = as.integer(ifail))
out <- list(pr = out$prob, esterr=out$perr, ifail = out$ifail)
out
}
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