Birnbaum-Saunders Distribution: A Review of Models, Analysis and Applications

Abstract

Birnbaum and Saunders introduced a two-parameter lifetime distribution to model 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 two hundred 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.

References in corpus (6)

• Birnbaum-Saunders nonlinear regression models
• Improved Likelihood Inference in Birnbaum-Saunders Regressions
• Testing hypotheses in the Birnbaum-Saunders distribution under type-II censored samples
• Size and power properties of some tests in the Birnbaum-Saunders regression model
• Small-sample corrections for score tests in Birnbaum-Saunders regressions
• A log-Birnbaum-Saunders Regression Model with Asymmetric Errors