19. Let X1,X2,...,Xn denote independent and identically distributed random variables and define the order statistics X(1),...,X(n) by

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19. Let X1,X2,...,Xn denote independent and identically distributed random variables and define the order statistics X(1),...,X(n) by X(i) ≡ ith smallest of X1,...,Xn Show that if the distribution of Xj is IFR, then so is the distribution of X(i).

Hint: Relate this to one of the examples of this chapter.

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Introduction To Probability Models

ISBN: 9780080467825

9th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 14, 2024 08:01 AM

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19. Let X1,X2,...,Xn denote independent and identically distributed random variables and define the order statistics X(1),...,X(n) by

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Introduction To Probability Models

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