On the Closure of Aging Classes under the Formation of Coherent Structures

Abstract

In this paper, we study the closure property of the Increasing Failure Rate (IFR) class under the formation of coherent systems. Sufficient conditions for the nonpreservation of the IFRattribute for reliability structures consisting of n independent and identically distributed (i.i.d.) components are provided. More precisely, we deal with the IFR preservation (or nonpreservation) under the formation of structures with two common failure criteria by the aid of their signature vectors. © 2021 World Scientific Publishing Company.