Bayesian Analysis of the Dependent Component System Based on Bivariate Exponential Distribution
A Bayesian(Bayes)procedure is presented for estimating the reliability of series system and parallel systems with two component lifetimes under Marshall-Olkin Exponential distribution.Under square error loss,Bayes estimation of the system reliability was proposed by mixed Metropolis-Gibbs sampling methods.Finally,through simulation studies,Bayes estimation for reliability of the series system and parallel systems is better than maximum likelihood estimation.