(Solved):   Any pointers on how to solve this would be highly appreciated. Or example problems similar t ...

 

Any pointers on how to solve this would be highly appreciated. Or example problems similar to this problem.

#MVUE #PoissonDistribution 

6e- 9 5. (10 Points) Let X1, X2, ..., X, be a random sample from the Poisson distribution with pmf f(x;0) = x = 0,1,2, ..., zero elsewhere. Find the MVUE of 1 - e-o using the following two steps. (a). First find the complete and sufficient statistic Y? for 0. Justify your answer. Then show that I I(X1 > 0) is an unbiased estimator of 1 -e-, where I is the indicator function where I(A) = 1 if A is true and 0 otherwise. (b). Find the MVUE of 1 - e by the conditional expectation E(T|Y1). You need to compute this conditional expectation explicitly.