Stochastic comparisons of series and parallel systems with heterogeneous components

TL;DR

This paper investigates stochastic comparison methods for parallel and series systems with heterogeneous components, using various stochastic orders and considering dependence structures via Archimedean copulas.

Contribution

It introduces new stochastic comparison results for systems with heterogeneous ENH components and dependent series systems modeled with Archimedean copulas.

Findings

Stochastic ordering results for parallel systems with ENH components.

Comparison of series systems under dependence using Archimedean copulas.

Extensions to various stochastic orders like dispersive and likelihood ratio.

Abstract

In this paper, we discuss stochastic comparisons of parallel systems with independent heterogeneous exponentiated Nadarajah-Haghighi (ENH) components in terms of the usual stochastic order, dispersive order, convex transform order and the likelihood ratio order. In the presence of the Archimedean copula, we study stochastic comparison of series dependent systems in terms of the usual stochastic order.