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2. Prove or disprove (with counterexamples) the following. (a) If T is a complete sufficient statistic and U1 and U2 are two unbiased estimators of

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2. Prove or disprove (with counterexamples) the following. (a) If T is a complete sufficient statistic and U1 and U2 are two unbiased estimators of g(0), then E[U, T] = E[U2 T]. (b) If T is a minimal sufficient statistic and U1 and U2 are two unbiased estimators of g(0), then E[U, T] = E[U2 T]. (c) Suppose Ti is sufficient, T2 is minimal sufficient and U is an unbiased estimator of g(0) with finite variance. Let hi = EU|T:], i = 1,2. Then, vare (h2)

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