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

• Published in: Applied stochastic models in business and industry Vol. 35; no. 1; pp. 4 - 49
• Main Authors: Balakrishnan, N., Kundu, Debasis
• Format: Journal Article
• Language: English
• 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

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...