Nothing
element_S <- function( lower, upper, mu=0, sigma=1)
{
delta1 <- (lower - mu) / sigma
delta2 <- (upper - mu) / sigma
tmp1 <- (dnorm(delta1) - dnorm(delta2)) / (pnorm(delta2) - pnorm(delta1))
EX <- mu + tmp1 * sigma
delta1[delta1 < -1e+10] <- -1e+10
delta2[delta2 > 1e+10] <- 1e+10
tmp2 <- (delta1*dnorm(delta1) - delta2*dnorm(delta2)) / (pnorm(delta2) - pnorm(delta1))
EXX <- sigma^2 + mu^2 + sigma^2 * tmp2 + 2*mu*sigma*tmp1
rm(delta1, delta2, tmp1, tmp2 )
gc()
return(list(EX=EX, EXX=EXX))
}
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