Hi! I know the relationship between the Weibull and the Gumbel, i.e. if T is Weib than log-e (T) is Gumbel.
Also, I understand how to prove that. however, I fail to prove how the Gumbel evolves from the 3-parameter Weibull. So far, I have the following: R: Reliability function R_sub_Y(y)=P(Y>y)=P(logT>y)=P(T>exp(y))=R_sub_T(exp(y)) =exp(-(exp(y)/alpha)^beta)=exp(-exp((y-gamma)/eta)) with eta=1/beta and gamma=log alpha If I try to do the same with the three-parameter Weibull, then R_sub_T(exp(y))=exp(-((exp(y)-delta)/alpha)^beta) where delta=location parameter for the Weibull distribution. Any idea/hep available? Thanks a lot! Ulrich ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at http://jse.stat.ncsu.edu/ =================================================================