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16-01-2024
Mathematics

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If Y has a binomial distribution with parameters n and p, then pˆ 1 = Y/n is an unbiased estimator of p. Another estimator of p is pˆ 2 = (Y + 1)/(n + 2). a Derive the bias of pˆ 2. b Derive MSE(pˆ 1) and MSE(pˆ 2). c For what values of p is MSE(pˆ 1) < MSE(pˆ 2)

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