A new fatigue life model based on the family of skew-elliptical distributions

Filidor Vilca-Labra, Víctor Leiva-Sánchez

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58 Scopus citations


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, the incorporation of the elliptical aspect makes the kurtosis flexible, and the skewness makes the asymmetry flexible. 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.

Original languageEnglish
Pages (from-to)229-244
Number of pages16
JournalCommunications in Statistics - Theory and Methods
Issue number2
StatePublished - Mar 2006
Externally publishedYes


  • Birnbaum-Saunders distribution
  • Kurtosis
  • Life distributions
  • Material fatigue
  • Moments
  • Reliability analysis
  • Skew-elliptical distributions
  • Skewness


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