On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes.

In this paper, we consider a coherent system composed of components whose lifetimes are independent and identically discretely distributed random variables. We study several aging and stochastic properties of the conditional residual lifetime of the system under the condition that some of its components have failed by time t. Moreover, we compare the conditional residual lifetimes of two coherent systems by using various stochastic orders. [ABSTRACT FROM AUTHOR]