English

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

Methodology 2018-05-18 v1

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.

Keywords

Cite

@article{arxiv.1805.06730,
  title  = {Birnbaum-Saunders Distribution: A Review of Models, Analysis and Applications},
  author = {N. Balakrishnan and D. Kundu},
  journal= {arXiv preprint arXiv:1805.06730},
  year   = {2018}
}