Bayesian Confidence Bounds for the Relability of Series System when Each Component has an Exponential Time to Failure Distribution

Document Type : Original Article

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Abstract

In this paper the Lentner, M.N. and Buehler, K.J. (1963) conditional distribution are used to derive the fiducial distribution and then the Bayesian distribution by assuming the general theories of the distributions are satisfied for the fiducial distribution, and thus Lindley' (1958) conditions are satisfied for the mixture of gams distribution. The new prior densities, and thus the new posterior distributions are also used to compute the conli-dance bounds of series system for each component has an exponential time-to-fail distribution.