Question: 1. Let Y1, Y2, . . . , Yn be a random sample from a Poisson distribution with parameter . you found the MLE of

1. Let Y1, Y2, . . . , Yn be a random sample from a Poisson distribution with parameter .

you found the MLE of is = Y .

(a) Show that is an unbiased estimator for .

(b) Find the variance and MSE of . Why are these two values the same for this estimator?

(c) Find the Cramer-Rao Lower Bound for .

(d) Explain why is a MVUE for

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