qglindley_mix <- function(p, pi, alpha, beta, gamma, lower.tail = TRUE, log.p = FALSE){
if(length(p) == 1){
g <- length(pi)
pi = pi/sum(pi)
if(min(c(pi, alpha, beta, gamma)) > 0 &&
length(alpha) == g && length(beta) == g && length(gamma) == g ){
if(log.p){
p = exp(p)
}
if(!lower.tail){
p = 1 - p
}
if(p < 0 || p > 1){
warning("The probability must be in (0, 1) interval.")
return(NaN)
}
else{
if(p == 0){
return(0)
}
else{
if(p == 1){
return(Inf)
}
else{
U = aux = 100
h = function(q){
pglindley_mix(q, pi, alpha, beta, gamma) - p
}
while(aux >= 0.9*U){
U = 2*U
aux = uniroot(h, lower = 0, upper = U)$root
}
return(aux)
}
}
}
}
else stop("The parametric space must be respected.")
}else{
j = function(p){qglindley_mix(p, pi, alpha, beta, gamma, lower.tail, log.p)}
return(sapply(p, j))
}
}
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