Let X1, . . . , Xn be independent exponential random variables each having rate 1. Set

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Let X1, . . . , Xn be independent exponential random variables each having rate 1. Set image text in transcribed

Explain why W1, . . . , Wn has the same joint distribution as the order statistics of a sample of n exponentials each having rate 1.

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 06, 2024 05:00 AM

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Let X1, . . . , Xn be independent exponential random variables each having rate 1. Set

Question:

W = X/n, Xi == Wi Wi-1+ i=2,...,n n-i+l'

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Introduction To Probability Models

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