BAYESIAN-ESTIMATION UNDER EXPONENTIAL FAILURE DISTRIBUTION

The adhoc reliability of a series system with p- independent components is estimated. The life distribution for component i is assumed to have an exponential distribution with parameter theta(i). The reliability of the system reduces to a function, xi, of theta = (theta(i), theta(2), ..., theta(p)). The maximum likelihood estimator and the Bayes estimator for component i of xi are derived. The Bayes estimate is obtained using a special asymmetric loss function. The maximum likelihood estimator and the Bayes estimator for component i of xi are compared using a nearness criterion.