pnorm_mix <- function(q, pi, mean, sd, lower.tail = TRUE){
if(length(q) == 1){
g <- length(pi)
if(sum(pi) == 1 && min(pi) > 0 && length(mean) == g && length(sd) == g && min(sd)>0){
aux = 0
for(j in 1:g){aux = aux + pi[j]*pnorm(q,mean=mean[j], sd = sd[j])}
if(lower.tail){return(aux)
}else{return(1 - aux)}
}
}else{
h <- function(q){pnorm_mix(q, pi, mean, sd, lower.tail)}
return(as.numeric(lapply(q, h)))
}
}
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