In this paper we study a family of stochastic orders of random variables defined via the comparison of their percentile residual life functions. Some interpretations of these stochastic orders are given, and various properties of them are derived. The relationships to other stochastic orders are...

A well known sufficient condition for the mean residual life order of two random variables is the hazard rate order of the two random variables. The hazard rate order is characterized by the monotonicity of the ratio of the two survival functions. However in many cases this ratio is non monotone...

In this paper comparisons of allocation policies of components in two-parallel-series systems with two types of components are provided with respect to both, the hazard rate and the reversed hazard rate orders. The main results indicate that the life of this kind of system is stochastically...