Bayesian Estimation for the Exponentiated Weibull Model

Abstract

In this article, Bayes estimates of the two shape parameters, reliability, and failure rate functions of the exponentiated Weibull lifetime model are derived from complete and type II censored samples. When the Bayesian aproach is considered, conjugate priors for either the one or the two shape parameters cases are considered. An approximation form due to Lindely [Lindely, D. V. (1980). Approximate Bayesian method. Trabajos de Estadistica 31:223–237] is used for obtaining the Bayes estimates under the squared error loss and LINEX loss functions. The root mean square errors of the estimates are computed. Comparisons are made between these estimators and the maximum likelihood ones using Monte Carlo simulation study.

Key Words:

• Bayesian analysis
• Informative prior
• Squared error loss function
• LINEX loss function
• Maximum likelihood estimates
• EW distribution

Acknowledgments

The authors are grateful to the referees for their valuable suggestions and comments, which improved the presentation of this article.