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Mathematics, 13.03.2020 22:47 levicorey846

Let X1,X2X7 denote a random sample from a population having mean \mu and variance \sigma2.. Consider the following estimators of \mu:

\theta1=X1+X2++X7 / 7

\theta2= (2X1-X3+X5) / 2

a. Is either estimator unbiased?

b. Which estimator is best? In what sense is it best? Calculate the relative efficiency of the 2 estimtors

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