Bayesian Estimation of Bivariate Weighted Exponential Distribution

In this paper, we consider Bayesian estimation for the parameters of bivariate weighted exponential Distribution based on generalized exponential distribution (BWEGE). The BWEGE has four parameters, two scale parameters and two shape parameters, which makes it more flexible to describe different types of real data than its sub model, the three-parameter bivariate weighted exponential distribution with weighted exponential marginal (BWE distribution). This four-parameter BWEGE has explicit joint probability density and distribution function. The Bayes estimators of the parameters under squared error loss function are obtained using the Lindley’s approximation method due to the lack of explicit forms of estimators.