Ordering and aging properties of surviving components in coherent systems

In this article, we discuss some ordering and aging properties of possibly surviving components, given that a system has survived till some time. First, we study the stochastic behavior of Pesudo residual lifetimes of the surviving components of an (n−k+1)-out-of-n system when it is still working at some time. Then, the case of a general coherent system with an arbitrary structure is discussed. The obtained results are generalizations of results for some specific conditional systems known in the literature to the case of general coherent systems.