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)
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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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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