Abstract
We discuss useful representations of lifetime distributions of coherent systems by means of convex combinations of marginal distributions of order statistics based on the lifetimes of exchangeable components. The representations are applied for characterizing distributions of system lifetimes composed of exchangeable units with given marginal distribution and joint absolutely continuous copula. The characterizations are used for calculating sharp bounds on the expectations and variancesof system lifetimes by means of respective parameters of single unit lifetime distribution.
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