Question: Question 2 Let X1, X2, X3 be a random sample from a uniform distribution U(0 - }, 0 + ;). Consider the following estimators of

Question 2 Let X1, X2, X3 be a random sample from a uniform distribution U(0 - }, 0 + ;). Consider the following estimators of 0: 01 = X, 02 = X (2) , 03 = X(1) + X(3) 2 where X is the sample mean, X(1), X(2), X(3) are the order statistics, that is, the smallest order statistic, the median, and the largest order statistic, respectively. (a) Show that 01, 02, and 03 are unbiased estimators of A. (b) Find var(01), var(02), and var(03). (c) Compare the estimators. Which estimator would you prefer? Provide a reason

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