Suppose that y1 and y2 are random variables from population

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Question: Suppose that y1 and y2 are random variables from population with mean µ and variance σ2. Suppose we have the following estimators:

(i) X =1/2 ×y1 +1/2 ×y2,

(ii) Z =1/4 × y1 +3/4 × y2 and

(iii) S =1/3 × y1 + y2.

(a) Are X, Z and S unbiased?

(b) Which one is the most efficient estimator?

Reference no: EM13578576

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