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

Shuangzhe Liu, Tiefeng Ma

Research output: Contribution to journalComment/debate


We appreciate the opportunity to discuss this review paper. We fully agree with the authors that there is a growing interest in the Birnbaum‐Saunders (BS) distribution and related results. Indeed, many important applications are found not only in lifetime data analysis, biological, reliability, and engineering but also in financial, insurance, environmental, medical, and various other areas.

The review is a wonderful account of the studies on the BS distribution and related results and especially the many recent developments since the work of Leiva.1 It thoroughly covers the fundamental background and concepts. A number of examples for real‐world data to fit the univariate and multivariate BS distributions are presented. Through the review, particularly the Concluding Remarks and Further Reading, a few promising open problems are addressed, and a significant number of publications on applications are discussed.

Below, we will briefly touch on some additional results related to the BS distribution, regression modeling, estimation, and diagnostic issues.
Original languageEnglish
Pages (from-to)122-125
Number of pages4
JournalApplied Stochastic Models in Business and Industry
Issue number1
Publication statusPublished - 1 Jan 2019


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