Ordering New Conditional Residual Lifetimes ofk-out-of-nSystems

This article introduces a new residual life of (n − k + 1)-out-of-n systems consisting of n independent and identically distributed components, given that the total number of failures of components is not less than l at time t, and the system is still working. Some stochastic comparisons of residual lifetimes are conducted, and behaviors of DLR and ILR are given.