I've been running into some weird problems when using this code:
positions<-c(58256)
occurrencies<-c(30)
frequency<-c(11/5531777)
length<-c(4)
prob<-c(0)
for(i in 0:(occurrencies-1))
{
pow<-frequency^i
pow1<-(1-frequency)^(positions-i)
bin<-choose(positions, i)
prob<<-prob+(bin*pow*pow1)
}
Each iteration of this for loop should calculate the binomial probability that, i number of occurrences of the event occur given the frequency. Each iteration also sums up the result. This should result in the prob variable never exceeding 1, but after 7 or so for loop iterations, everything goes to hell and prob excedes 1.
I thought it might be a question of precision digits, so i tried using Rmpfr but to no avail- the same problem persisted.
I was wondering if there are any tips or packages to overcome this situation, or if I'm stuck with this.
Following Ben Bolker's advice to see ?pbinom
pbinom(q = occurencies, size = positions, prob = frequency, lower.tail = FALSE)