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