Dynamic Reliability Modeling with Medical Applications

Abstract

This article explores a dynamic reliability index for dependent stress and strength variables. Toward this end, a copula approach is utilized to model the association between the two variables. Under Farlie-Gumbel-Morgenstern copula and its generalization, expressions of the reliability measure are derived. Numerical results are used to assess effect of the marginal distributions and the reference copula parameters on the reliability index. Application of the proposed method in the context of medicine is also presented.