Comparison of the maximum likelihood and Bayes estimators for symmetric bivariate exponential distribution under dierent loss functions

Abstract

Consider a system with lifetime governed by a bivariate exponential model (X; Y ). Using the maximum likelihood method and the Bayesian approach, we estimate the parameters and the mean time between failure (MTBF) of this model.To compare the estimators, an exhaustive Monte Carlo study is performed using the Pitman closeness cri- terion and the relative eciency.

Key words: Bayesian Analysis; Bivariate Exponential Model; Loss function; Maximum Likelihood Estimation; Reliability.