GBVE指-数模型结构可靠度估计

Estimation of Structural Reliability for GBVE-exponential Model

设二元随机变量(X,Y)的联合生存函数为-F(x,y)=exp{-[(x/θ1)1/δ+(y/θ2)1/δ]δ},0<x,y<∞,0<δ≤1,0<θ1,θ2<∞,把它称作GBVE(θ1,θ2,δ).考虑串联系统两元件的应力服从GBVE(θ1,θ2,δ),强度服从指数分布的应力-强度模型,分别在应力参数和强度参数未知的情况下给出结构可靠度估计.

Let the survival function of two-dimensional random variables（X,Y） be（x,y）=exp{-[（x/θ1）1/δ＋（y/θ2）1/δ]δ},0〈x,y〈∞,0〈δ≤1,0〈θ1,θ2〈∞.Refer to it as GBVE（θ1,θ2,δ）.The stress-strength model with stress being GBVE distributed and strength being exponentially distributed is considered.For the case with unknown stress parameters and unknown strength parameter,estimation of structural reliability for the model are purposed.