Question: 5. Suppose {X1, ..., Xn} is a random sample from a distribution that has a pdf of the form f (x; 0) = exp {p(@)K(x)

5. Suppose {X1, ..., Xn} is a random sample from

5. Suppose {X1, ..., Xn} is a random sample from a distribution that has a pdf of the form f (x; 0) = exp {p(@)K(x) + H(x) +q(0)}, X ES, where both p(0) and K(x) are non-constant functions and the support S of the density function is independent of the unknown parameter 0. (a) Find a complete sufficient statistic Y for the parameter 0. Justify your answer (why what you find is a complete and then sufficient statistic?). (b) Find the mean and the the variance, E(Y) and Var(Y), for the statistic

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