Bayesian estimation for the Beta-Birnbaum-Saunders distribution

In this article, we present Bayes estimators for the parameters and reliability function of the -Birnbaum-Saunders distribution under both the symmetric (squared error, SE) loss function and asymmetric (LINEX and general entropy, GE) loss functions. The Bayes estimators can not be obtained in closed form. Approximate Bayes estimators are computed using Lindley’s approximation technique. Posterior variance estimates are compared with the variance of the maximum likelihood estimators (MLEs) of the parameters. The different loss functions are compared through posterior risk. A real data set is analyzed for illustrative purpose.


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