串联模式下的应力-强度模型可靠度的非参数统计推断

Nonparametric Inference for Reliability of a Series Stress-strength Structure Model

应力-强度模型在工程学,医学等领域有着广泛的应用。对于变量非删失以及右删失的情形,研究了当随机应力和随机强度相互独立时的元串联系统应力-强度模型可靠度的非参数估计。近一步,建立了估计量的大样本性质.数值模拟表明所提出的方法表现良好。

The stress-strength model has a wide range of applications in engineering, medicine and other fields. Con-sidering the variable non-censoring and right censoring, a nonparametric estimation for the stress-strength model reliability ofseries system is studied when the random stress and strengths are independent of each other. Furthermore, large sample char-acter of the proposed estimator is established in this paper. Numerical simulation shows that the proposed method performswell in finite samples.