. Let (y1, Y2: .-- Yn) be independent random sample from the uniform distribution on [0, 1]. (a) show that Z = - In Y; has exponential distribution with parameter 1. .... (b) Hence or otherwise, show that -2 In Y; - xn i=1
. Let (y1, Y2: .-- Yn) be independent random sample from the uniform distribution on [0, 1]. (a) show that Z = - In Y; has exponential distribution with parameter 1. .... (b) Hence or otherwise, show that -2 In Y; - xn i=1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 42CR
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![11. Let (y1, Y2 ... Yn) be independent random sample from the uniform distribution on [0, 1].
(a) show that Z = – In Y; has exponential distribution with parameter 1.
(b) Hence or otherwise, show that -2 In Y; xản](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2eadb14f-3c3e-4056-b8de-e8ccd6a66193%2Fe7bbbc2a-ed13-4b32-a2fa-7efd6a88b531%2Fs9n5s9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. Let (y1, Y2 ... Yn) be independent random sample from the uniform distribution on [0, 1].
(a) show that Z = – In Y; has exponential distribution with parameter 1.
(b) Hence or otherwise, show that -2 In Y; xản
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