On the Residual Lifetime of Surviving Components from a Failed Coherent Systems

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2014-03-01
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Zhang, Zhengcheng
Meeker, William
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Meeker, William
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Statistics
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Abstract

In this paper, we consider the residual lifetimes of surviving components of a failed coherent system with n independent and identically distributed components, given that before time t1 (t1 > 0), exactly r (r < n) components have failed and, at time t2 (t2 > t1) the system just failed. Some aging properties and preservation results of the residual lives of the surviving components of such systems are obtained. Also some examples and applications are given.

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this preprint was published as Zhengcheng Zhang and William Q. Meeker, "The Residual Lifetime of Surviving Components From Failed Coherent Systems", IEEE Transactions on Reliability (2014): 534-542, doi: 10.1109/TR.2014.2313792.

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