On stochastic comparisons of coherent systems with two different types of components

Abstract

This paper is a study on comparison between coherent systems with independent and heterogeneous components. Specifically, we consider 3-component coherent systems composed of two different types of components where we assume that component lifetimes follow the well-known proportional hazards model. We stochastically compare such systems under different situations and based on some assumptions on the parameters of proportionality.

Keywords:

• Coherent system
• heterogeneous components
• stochastic orders
• proportional hazards model
• survival signature

Acknowledgment

I would like to express my sincere thanks to the associate editor and anonymous referees for their constructive comments and suggestions which improved the present paper.