If Y has a binomial distribution with parameters n and p, then p 1 = Y/n is an unbiased
Chapter 8, Problem 8.17(choose chapter or problem)
If Y has a binomial distribution with parameters n and p, then p 1 = Y/n is an unbiased estimator of p. Another estimator of p is p 2 = (Y + 1)/(n + 2). a Derive the bias of p 2. b Derive MSE(p 1) and MSE(p 2). c For what values of p is MSE(p 1) < MSE(p 2)?
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