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Verify that the following polfs have the indicated hazard function h+(+) = lim Pl=&T <++* |T>+) бэо 8 hy (t) = fylt) 1-F- (+) =_d at log (1-F, (+)) a) If T~ exponential (B), then n_lt) = b) if T ~ Weibull (r, B), then h+ (t)=[r/B] c) if T~ logistic (M, P) that is : F₁lts= I He-17-M) /B then hy(t) = (1/B) F (+)

Verify that the following polfs have the indicated hazard function h+(+) = lim Pl=&T <++* |T>+) бэо 8 hy (t) = fylt) 1-F- (+) =_d at log (1-F, (+)) a) If T~ exponential (B), then n_lt) = b) if T ~ Weibull (r, B), then h+ (t)=[r/B] c) if T~ logistic (M, P) that is : F₁lts= I He-17-M) /B then hy(t) = (1/B) F (+)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Verify that the following polfs have the indicated nazard function h=(4) = lim бэо hy (t)= fylt) |-Fy (+) PLA≤T<++ő |T>+` =_d F at log (1-F, (+)) a) If T~ exponential (B), then ny(t) = B b) if T ~ Weibull (r, B), then h+(+)= (r/B)t"! c) if T ~ logistic [M, B) that is : F+L+S= | He-17-M) IB then hy(t) = (1/8) F(+)
Transcribed Image Text:Verify that the following polfs have the indicated nazard function h=(4) = lim бэо hy (t)= fylt) |-Fy (+) PLA≤T<++ő |T>+` =_d F at log (1-F, (+)) a) If T~ exponential (B), then ny(t) = B b) if T ~ Weibull (r, B), then h+(+)= (r/B)t"! c) if T ~ logistic [M, B) that is : F+L+S= | He-17-M) IB then hy(t) = (1/8) F(+)
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