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

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  • Carlos dos Santos
  • Jorge Alberto Achcar

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.

Suggested Citation

  • Carlos dos Santos & Jorge Alberto Achcar, 2011. "A Bayesian analysis for the Block and Basu bivariate exponential distribution in the presence of covariates and censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(10), pages 2213-2223.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:10:p:2213-2223
    DOI: 10.1080/02664763.2010.545372
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    References listed on IDEAS

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    1. Jorge Achcar & Roseli Leandro, 1998. "Use of Markov Chain Monte Carlo Methods in a Bayesian Analysis of the Block and Basu Bivariate Exponential Distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(3), pages 403-416, September.
    2. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
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    Cited by:

    1. Jorge Alberto Achcar & Em�lio Augusto Coelho-Barros & Josmar Mazucheli, 2013. "Block and Basu bivariate lifetime distribution in the presence of cure fraction," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(9), pages 1864-1874, September.

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