Question: Let X1 and X2 be two independent and identically distributed variables with probability mass function f(x; ) = 1 2x+1 for x= ,+ 1,... where

Let X1 and X2 be two independent and identically distributed variables with probability mass function f(x; ) = 1 2x+1 for x= ,+ 1,... where {0,1,2,...}. (a) Show that min(X1,X2) is a complete sucient statistic for . (b) Find P(min(X1,X2) = k) for k= ,+ 1,... and E(min(X1,X2)). (c) Find the best unbiased estimator of

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