Birnbaum-Saunders mixed models for censored reliability data analysis

Cristian Villegas, Gilberto A. Paula, Víctor Leiva

Research output: Contribution to journalArticlepeer-review

51 Scopus citations


The Birnbaum-Saunders distribution is a useful model for describing fatigue and reliability data. This model allows us to relate the total time until the failure to some type of cumulative damage. The majority of the models based on the Birnbaum-Saunders distribution have assumed fixed-effects, and a few have been investigated for correlated data. In this work, we introduce Birnbaum-Saunders mixed models for censored data. Specifically, we estimate their parameters by means of the Gauss-Hermite quadrature approximation, carry out a residual analysis for these models, and conduct an application using real censored reliability data. This application illustrates the utility of a Birnbaum-Saunders random intercept model.

Original languageEnglish
Article number6045312
Pages (from-to)748-758
Number of pages11
JournalIEEE Transactions on Reliability
Issue number4
StatePublished - Dec 2011
Externally publishedYes


  • Gauss-Hermite quadrature
  • log-linear models
  • random intercept models
  • residual analysis
  • sinh-normal distribution


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