Inference for the bivariate Birnbaum–Saunders lifetime regression model and associated inference

N. Balakrishnan*, Xiaojun Zhu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper, we discuss a regression model based on the bivariate Birnbaum–Saunders distribution. We derive the maximum likelihood estimates of the model parameters and then develop associated inference. Next, we briefly describe likelihood-ratio tests for some hypotheses of interest as well as some interval estimation methods. Monte Carlo simulations are then carried out to examine the performance of the estimators as well as the interval estimation methods. Finally, a numerical data analysis is performed for illustrating all the inferential methods developed here.

Original languageEnglish
Pages (from-to)853-872
Number of pages20
Issue number7
Publication statusPublished - 17 Oct 2015
Externally publishedYes


  • Akaike information criterion
  • Asymptotic confidence interval
  • Bivariate Birnbaum–Saunders distribution
  • Bootstrap confidence interval
  • Least-squares estimators
  • Likelihood ratio test
  • Maximum likelihood estimates

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