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Derive the efficiency of the estimator P2 relative to P1 2. Suppose that two independent binomial random variables X1 and X2 are observed where X1

Derive the efficiency of the estimator P2 relative to P1

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2. Suppose that two independent binomial random variables X1 and X2 are observed where X1 has a Binomial(n; p) distribution and X2 has a Binomial(2n; p) distribution. You may assume that n is known, whereas p is an unknown parameter. Define two possible estimators of p P1 = 3n (X1 + X2) and P2 = 2n (X1 + 0.5X2)

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