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