Question: answer with explanation (e) Derive the the Cramer-Rao lower bound (CRLB) for the variance of unbiased estimators of T(p). (f) For what functions (p) does

answer with explanation

answer with explanation (e) Derive the the Cramer-Rao lower bound (CRLB) for

(e) Derive the the Cramer-Rao lower bound (CRLB) for the variance of unbiased estimators of T(p). (f) For what functions (p) does there exist an unbiased estimator which attains the CRLB? Discuss the case where T (p) = p (1 - p); particularly, when p = 1/2. (g) Provide an approximate 95% confidence interval for p using the asymptotic properties of the MLE p

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