nav <-
function(alpha = 0.01, k = 5)
{
#gets n(asy var) for the alpha trimmed mean
#and T_(A,n)(k) if errors are N(0,1)
z <- - qnorm(alpha)
den <- 1 - (2 * z * dnorm(z))/(2 * pnorm(z) - 1
)
val <- den/(1 - 2 * alpha)
ntmav <- val + (2 * alpha * z^2)/(1 - 2 * alpha
)^2
zj <- k * qnorm(0.75)
alphaj <- pnorm( - zj)
alphaj <- ceiling(100 * alphaj)/100
zj <- - qnorm(alphaj)
den <- 1 - (2 * zj * dnorm(zj))/(2 * pnorm(zj) -
1)
val <- den/(1 - 2 * alphaj)
natmav <- val + (2 * alphaj * zj^2)/(1 - 2 *
alphaj)^2
return(ntmav, natmav)
}
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