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Let X1, X2 be a random sample of size 2 from a population X with E(X)=mu and V(X) = 36. Let T1 = (2X1 + X2)/3 and T2 = (3X1 - X2)/3 be two unbiased estimators for mu.

a) Find V(T2)

b) Given V(T1) = 20, select (say why) the estimator you prefer among T1 and T2.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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