应力服从一类嵌套多元指数分布的结构可靠度估计

Estimation of Structural Reliability for a Nested Multivariate Exponential Distributed Stress

本文研究应力服从一类嵌套多元指数分布,强度服从指数分布的应力—强度结构可靠度模型.分别在强度参数未知、应力参数已知和强度参数已知、应力参数未知的情况下给出了结构可靠度PA的估计PA1和PA2,并讨论了它们的渐近性质,而且获得了PA的近似置信区间.最后对这两种情况下模型结构可靠度的估计PA1和PA2进行了随机模拟,随机模拟结果令人满意.

We study a kind of stress-strength structural reliability model with stress being nested multivariate exponential distributed and strength being one-dimensional exponential distributed in this paper. On condition that strength parameter unknown and stress parameters known as well as contrary situations, the estimators ^PA1 and ^PA2 of the structural reliability PA are proposed and their consistency and asymptotic normality are discussed, meanwhile, the estimators＇ confidence intervals are also shown. Finally, we randomly simulate the estimators ^PA1 and ^PA2 of PA with the satisfactory results.