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A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System
Published online by Cambridge University Press: 30 January 2018
Abstract
This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.
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- Research Article
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- © Applied Probability Trust
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