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Department of Statistics, Yarmouk University, Irbid, Jordan

ABSTRACT

Let S be a k-out-of-m system with independent components from an exponential model. Assume è has a gamma prior distribution. The Bayes estimate R^*_n (t) of the conditional reliability function R (t) is obtained. Consistency and asymptotic normality of R^*_n (t) have been established. The accuracy of the Bayes estimate and the justification of the exponential prior distribution are readily seen through the results of a Monte Carlo study.