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**Janu42** 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 $\displaystyle \lambda$

b) Show that the estimator in part (a) is unbiased and consistent.

c) Also, show that Y/n is an efficient estimator of $\displaystyle \lambda$

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.