Suppose that Y1, Y2,..., Yn denote a random sample of size n from a population with an
Chapter 8, Problem 8.19(choose chapter or problem)
Suppose that Y1, Y2,..., Yn denote a random sample of size n from a population with an exponential distribution whose density is given by f (y) = $ (1/)ey/ , y > 0, 0, elsewhere. If Y(1) = min(Y1, Y2,..., Yn ) denotes the smallest-order statistic, show that = nY(1) is an unbiased estimator for and find MSE() . [Hint: Recall the results of Exercise 6.81.]
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