The Birnbaum-Saunders model is a life distribution originated from a problem of
material fatigue that has been largely studied and applied in recent decades. A
random variable following the Birnbaum-Saunders distribution can be stochastically
represented by another random variable used as basis. Then, the Birnbaum-Saunders
model can be generalized by switching the distribution of the basis variable using
diverse arguments allowing to construct more general classes of models. Extreme value
distributions are useful to determinate the probability of events that are more extreme
than any that have already been observed. In this paper, we propose, characterize,
implement and apply an extreme value version of the Birnbaum-Saunders distribution.Fundação para a Ciência e a Tecnologia (FCT) - Pluriannual Funding Program, PTDC/FEDER, PEst-OE/MAT/UI0006/2011, FCT/OE, POCI 2010FONDECYT (Fondo Nacional
de Desarrollo Cient co y Tecnol ogico - Chile
