Multicomponent Stress-Strength Reliability under Competing Risks

In this work, we focus on the evaluation and statistical inference of the multicomponent reliability parameter of an s-out-of-k:G system under a competing risk setting with the risks playing the role of multiple stresses that put under pressure the operation of the system. The problem is expressed through multistate systems using a generalized unified distribution family for both stress and strength. The distributions involved are assumed to belong to two special subclasses of the well-known Lehmann Alternative Family of distributions. The originality of the work lies on the fact that it brings within the above two distribution subclasses, several distributions popular in reliability theory and at the same time investigates the reliability parameter under the competing risks framework. Several probabilistic properties including the probability of failure due to specific cause are presented. The applicability of the proposed methodology is explored via two representative examples based on the Power and Lomax distribution.