Question: If a random sample of size n is taken without replacement from the finite population that consists of the positive integers 1, 2, . .

If a random sample of size n is taken without replacement from the finite population that consists of the positive integers 1, 2, . . . , k, show that

(a) The sampling distribution of the nth order statistic, Yn, is given by

f(yn) =--1).

For yn = n, . . . , k;

(b) n+ 1 / n ∙ Yn – 1 is an unbiased estimator of k. See also Exercise 10.80.

f(yn) =--1).

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