Let X be Poisson. Consider a random sample of size n from the X distribution, and let Y be the sample sum.
a) Show that Y/n is a maximum likelihood estimator of
b) Show that the estimator in part (a) is unbiased and consistent.
c) Also, show that Y/n is an efficient estimator of
I'm just confused on what I have to show for each part of the question. I know they each have their requirements for what you have to show for each, I just don't remember and I don't have my book with me to check.