A New Fatigue Life Model Based on the Family of Skew-elliptical Distributions

Fatigue is structural damage produced by cyclic stress and tension. An important statistical model for fatigue life is the Birnbaum-Saunders distribution, which was developed to model ruptured lifetimes of metals that had been subjected to fatigue. This model has been previously generalized and in this article we extend it starting from a skew-elliptical distribution. In this work we found the probability density, reliability, and hazard functions; as well as its moments and variation, skewness, and kurtosis coefficients. In addition, some properties of this new distribution were found.