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Let X1.... . Xn be a random sample from a distribution with pdf f(3:1) = 2Xre => 0 -dz 1 Suppose an estimator for 7(4) =
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Let X1.... . Xn be a random sample from a distribution with pdf f(3:1) = 2Xre => 0 -dz 1 Suppose an estimator for 7(4) = 1/4 is T = (1/n) - X. (i) Show that this estimator T is an unbiased of 7(1). (ii) What is the Cramér-Rao lower bound for an estimator of T(%)? (iii) Is this estimator T a minimum variance unbiased estimator of T(X)? Why?