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Let X 1 , X 2 and X 3 be independently distributed as Bernoulli(p) and let...

Let X 1 , X 2 and X 3 be independently distributed as Bernoulli(p) and let two estimators of p be defined as pˆ 1 = X and pˆ 2 = X 1 + X 2 − X 3 .

a) Which estimator(s) is (are) unbiased?

b) Obtain their variances.

c) Can you say one estimator is better than the other?

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