Let Y1, Y2,..., Yn denote a random sample from a population with mean and variance 2
Chapter 9, Problem 9.2(choose chapter or problem)
Let Y1, Y2,..., Yn denote a random sample from a population with mean and variance 2. Consider the following three estimators for : 1 = 1 2 (Y1 + Y2), 2 = 1 4 Y1 + Y2 ++ Yn1 2(n 2) + 1 4 Yn , 3 = Y . a Show that each of the three estimators is unbiased. b Find the efficiency of 3 relative to 2 and 1, respectively.
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