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Use of Markov Chain Monte Carlo Methods in a Bayesian Analysis of the Block and Basu Bivariate Exponential Distribution |
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| Authors: | Jorge A. Achcar Roseli A. Leandro |
| Affiliation: | (1) Department of Computer Sciences and Statistics, ICMSC, University of São Paulo, C. P. 668, CEP, 13560-970 São Carlos, S. P., Brazil;(2) Department of Mathematics and Statistics, ESALQ, University of São Paulo, C. P. 11, 13418-900 Piracicaba, S. P., Brazil |
| Abstract: | Metropolis algorithms along with Gibbs steps are proposed to perform a Bayesian analysis for the Block and Basu (ACBVE) bivariate exponential distribution. We also consider the use of Gibbs sampling to develop Bayesian inference for accelerated life tests assuming a power rule model and the ACBVE distribution. The methodology developed in this paper is exemplified with two examples. |
| Keywords: | Bivariate exponential distribution Gibbs sampling Metropolis algorithm accelerated life testing |
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