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

By Narayanaswamy Balakrishnan, Debasis Kundu. Applied Stochastic Models in Business and Industry, 2018

132 citations recorded by the source corpus.

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.

Subfields: Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/9305b724fb2ea70c320e2c5df4fa0c3bda243668