Birnbaum‐Saunders distribution: A review of models, analysis, and applications

Birnbaum and Saunders introduced a two‐parameter lifetime distribution to model the fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on this model providing different interpretations, constructions, generalizations, inferential methods, and extensions to bi...

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Published inApplied stochastic models in business and industry Vol. 35; no. 1; pp. 4 - 49
Main Authors Balakrishnan, N., Kundu, Debasis
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.01.2019
Subjects
Bayes estimators
Bivariate analysis
EM algorithm
Fatigue life
Fisher information matrix
hazard function
length‐biased distribution
moments and inverse moments
probability density function
stochastic orderings
TP2 property
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Summary:Birnbaum and Saunders introduced a two‐parameter lifetime distribution to model the fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on this model providing different interpretations, constructions, generalizations, inferential methods, and extensions to bivariate, multivariate, and matrix‐variate cases. More than 200 papers and one research monograph have already appeared describing all these aspects and developments. In this paper, we provide a detailed review of all these developments and, at the same time, indicate several open problems that could be considered for further research.
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ISSN:1524-1904
1526-4025
DOI:10.1002/asmb.2348