`cal.logit` <-
###############################################################
# If eAu goes to Inf, dF goes to 0: this was badly programmed #
# and has been fixed. #
###############################################################
list(
Fm1=function (u, bounds, sigma2){
u <- u / sigma2
L <- bounds[1]
U <- bounds[2]
A <- (U - L)/((U - 1) * (1 - L))
eAu <- exp(A * u)
Fm1 <- (L * (U - 1) + U * (1 - L) * eAu)/(U - 1 + (1 - L) * eAu) - 1
ifelse(is.finite(Fm1), Fm1, U-1)
},
dF= function (u, bounds, sigma2){
u <- u / sigma2
L <- bounds[1]
U <- bounds[2]
A <- (U - L)/((U - 1) * (1 - L))
eAu <- exp(A * u)
dF <- U*(1 - L)*eAu*A/(U-1+(1-L)*eAu)-((L*(U-1)+U*(1-L)*eAu)*((1-L)*eAu*A))/(U-1+(1-L)*eAu)^2
dF <- dF * (1 / sigma2)
ifelse(is.finite(dF), dF, 0)
},
name="logit distance"
)
class(cal.logit) <- "calfun"
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