S Distribution density of order statistics Let X1 Xn be i i d real random variables with continuous distribution density , and suppose that the set X WD 0 is an interval Determine the distribution density of the kth order statistic XkWn Hint Use either Problem 1 18 and Section 2 5 3, or (8 17) and (8 8b)

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Question: S Distribution density of order statistics. Let X1; : : : ; Xn be i.i.d. real random variables with continuous distribution density , and suppose

S Distribution density of order statistics. Let X1; : : : ; Xn be i.i.d. real random variables with continuous distribution density , and suppose that the set X WD ¹ > 0º is an interval.

Determine the distribution density of the kth order statistic XkWn. Hint: Use either Problem 1.18 and Section 2.5.3, or (8.17) and (8.8b).

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