Problem 1. Let Y1 ~ Bin(2007, p). (a) Compute the Fisher information /1(p). (b) Let W(Y1) represent an unbiased estimator of p. Use the Information
Problem 1. Let Y1 ~ Bin(2007, p). (a) Compute the Fisher information /1(p). (b) Let W(Y1) represent an unbiased estimator of p. Use the Information Inequality to show that Var(W(Y, )) is no less than P(I-P) 2007 (c) Show that p = 2007 Y is an unbiased estimator of p and has the smallest variance among all unbiased estimators of p
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