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

Autor:	Víctor Leiva-Sánchez, Filidor Vilca-Labra
Rok vydání:	2006
Předmět:	Statistics and Probability Distribution function Skewness Statistics Kurtosis Skew Statistics::Methodology Probability density function Statistical model Statistical physics Birnbaum–Saunders distribution Elliptical distribution Mathematics
Zdroj:	Communications in Statistics: Theory and Methods. 35:229-244
ISSN:	1532-415X 0361-0926
DOI:	10.1080/03610920500440065
Popis:	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.
Databáze:	OpenAIRE
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