Bayesian estimation under a mixture of the Burr type XII distribution and its reciprocal

Abstract

The Bayesian estimation for the parameters of the finite mixture of the Burr type XII distribution with its reciprocal are obtained based on the type-I censored data. The Bayes estimators are computed based on squared error and Linex loss functions and using the idea of Markov chain Monte Carlo algorithm. Based on the Monte Carlo simulation, Bayes estimators are compared with their corresponding maximum-likelihood estimators.

Keywords:

• Burr type XII
• Burr type III
• type-I censoring
• MCMC
• Monte Carlo simulation

Acknowledgements

The authors thank the referee for his helpful remarks and the helpful comments which improved the earlier version of the manuscript.