In this paper, we consider the stress-strength reliability $R=P(X_1<Y<X_2)$ where the strength Y of a component lies between the dependent stress variables $X_1$ and $X_2$. 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.

在本文中，我们考虑应力强度可靠性$右=磷（X_1<是<X_2）$其中组件的强度Y位于因应力变量之间$X_1$和$X_2$。我们提出了一种基于联结的方法，用于具有双变量应力的应力强度可靠性。我们获得带有 Burr III 边缘的 Farlie-Gumbel-Morgenstern 系词的R。此外，我们提出了 Bernstein copula 近似来评估应力强度设置下的R。我们提出了基于经验和最大似然的估计程序，并通过蒙特卡罗模拟比较了它们的性能。我们将所提出的方法应用于化学和明显的糖尿病数据以进行说明。