Stochastic Comparisons of the Series and Parallel Systems with Heterogeneous Power Lomax Distributed Components

Abstract

In this paper, the authors investigated stochastic comparisons of the series and parallel systems under the assumption that the component lifetimes have independent heterogeneous power-Lomax distributions. The comparisons are established based on the hazard rate ordering, reversed hazard rate ordering and likelihood ratio ordering. Several examples are presented to illustrate the established results.