Let X1, X2, ... , Xn denote a random sample from b(1, p). We know that X is an unbiased
Chapter 6, Problem 6.6-2(choose chapter or problem)
Let \(X_1,X_2,\cdots,X_n\) denote a random sample from b(1, p). We know that \(\bar X\) is an unbiased estimator of p and that Var\((\bar X)=p(1-p)/n\). (See Exercise 6.4-12.)
(a) Find the Rao–Cramér lower bound for the variance of every unbiased estimator of p.
(b) What is the efficiency of \(\bar X\) as an estimator of p?
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