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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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