A Bayesian analysis for the Block and Basu bivariate exponential distribution in the presence of covariates and censored data

Abstract

In this paper, we introduce a Bayesian Analysis for the Block and Basu bivariate exponential distribution using Markov Chain Monte Carlo (MCMC) methods and considering lifetimes in presence of covariates and censored data. Posterior summaries of interest are obtained using the popular WinBUGS software. Numerical illustrations are introduced considering a medical data set related to the recurrence times of infection for kidney patients and a medical data set related to bone marrow transplantation for leukemia.

Keywords:

• Block and Basu exponential distribution
• Bayesian analysis
• MCMC methods
• covariates
• censored lifetimes

Acknowledgements

The authors would like to thank the editor and referees for their helpful comments.