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Statistical Modelling

allinorfold · 2009-10-28 20:06:21

Ok, decided to make this shorter. I need to find the liklihood function for the follwing situation so that I can derive the MLE's for p and lambda. So, basically I have to count the number of fish from day 1 to n. I do this using a perfect detector(probability of seeing the fish = 1). Next, I count the fish from day n to…

28-10-2009 8:06pm

#1

allinorfold

Closed Accounts Posts: 10 ✭

Join Date: October 2007

Posts: 6

Ok, decided to make this shorter.
I need to find the liklihood function for the follwing situation so that I can derive the MLE's for p and lambda.

So, basically I have to count the number of fish from day 1 to n. I do this using a perfect detector(probability of seeing the fish = 1).
Next, I count the fish from day n to k. I do this using an imperfect detector(prob of seeing fish = p)

Up to day n is a simple poisson(lambda) dist., but in the next part im not sure what to do. I have an example where the perfect and imperfect detectors are used at the same time and a binomial dist., is used aswell as a poisson(lambda) and a poisson(plambda).

Any help would be great.

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