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# Let X1 and X2 have independent gamma distributions with parameters , and , ISBN: 9780321923271 41

## Solution for problem 5.2-6 Chapter 5.2

Probability and Statistical Inference | 9th Edition

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Problem 5.2-6

Let X1 and X2 have independent gamma distributions with parameters , and , , respectively. Let W = X1/(X1 + X2). Use a method similar to that given in the derivation of the F distribution (Example 5.2-4) to show that the pdf of W is g(w) = ( + ) ()() w1(1 w) 1, 0 < w < 1.We say that W has a beta distribution with parameters and . (See Example 5.2-3.)

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##### ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This full solution covers the following key subjects: . This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The full step-by-step solution to problem: 5.2-6 from chapter: 5.2 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 5.2-6 from 5.2 chapter was answered, more than 226 students have viewed the full step-by-step answer. The answer to “Let X1 and X2 have independent gamma distributions with parameters , and , , respectively. Let W = X1/(X1 + X2). Use a method similar to that given in the derivation of the F distribution (Example 5.2-4) to show that the pdf of W is g(w) = ( + ) ()() w1(1 w) 1, 0 < w < 1.We say that W has a beta distribution with parameters and . (See Example 5.2-3.)” is broken down into a number of easy to follow steps, and 73 words.

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