Question

Complete the following question in R. Problem 5. Write a function in R called like which takes an input vector dat, assumed to be Poisson random variates, and computes the Maximum-Likelihood Estimator for λ.

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Answer 1

Here we find maximum likelihood of paramter of poisson distribution i.e lamda(λ)

We know maximum likelihood of paramter of poisson distribution i.e lamda(λ)= xbar (mean of random samples)

so we write function bases on above estimator. function name is MLE_L which take v (vector of random samples ) and return MLE of poisson

R code=

MLE_L <- function(v) {

lamda=sum(v)/length(v)
return(cat("MLE of poisson Lamda= ",lamda))
}
MLE_L(rpois(100,11))# verify by runing it wil give MLE of lamda for 100 random samples generated from p(11)