On the copula-based reliability of stress-strength model under bivariate stress
Burcu Hüdaverdi, Selim Orhun Susam
Abstract
In this paper, we consider the stress-strength reliability R=P(X1<Y<X2) where the strength Y of a component lies between the dependent stress variables X1 and X2. We propose a copula-based approach for stress-strength reliability having bivariate stress. We obtain R for Farlie-Gumbel-Morgenstern copula with Burr III marginals. Also, we propose a Bernstein copula approximation for evaluating R under the stress-strength setup. We present empirical and maximum likelihood-based estimation procedures and compare their performances by Monte Carlo simulation. We apply the proposed approach to chemical and overt diabetes data for illustration purpose.
Topics & Concepts
Copula (linguistics)Bivariate analysisMonte Carlo methodEconometricsStress (linguistics)MathematicsReliability (semiconductor)Computer scienceStatisticsPhysicsPhilosophyQuantum mechanicsLinguisticsPower (physics)Statistical Distribution Estimation and ApplicationsStatistical Methods and InferenceFinancial Risk and Volatility Modeling