二项指数2分布的应力强度模型的可靠性估计

Reliability Estimation of Stress-Strength Model for Binomial Exponential 2 Distribution

本文讨论了当系统的强度和系统所受的应力服从独立的、不同的二项式指数2分布时系统的可靠性问题.采用了不同的方法来估计可靠性.在估计过程中使用了极大似然(ML)方法、基于Wilson-Hilferty(WH)的正态近似方法和贝叶斯方法.同时,基于正态近似方法、贝叶斯法和Bootstrap法(Boot-p和Boot-t)提出了应力–强度可靠度的置信区间.通过蒙特卡罗模拟比较了不同的方法和相应的置信区间.最后,给出了一个真实数据集的分析进行说明.

In this paper,the reliability of a system is discussed when the strength of the system and the stress imposed on it are independent,non-identical binomial exponential 2 distributed random variables.Different methods for estimating the reliability are applied.The maximum likelihood(ML),Wilson-Hilferty(WH)normal-based approximation and Bayesian methods are used in the estimation procedure.Also,we propose confidence intervals of the stress-strength reliability based on the approximate method,Bayesian method and Bootstrap methods(Boot-p and Boot-t).Different methods and the corresponding confidence intervals are compared using Monte-Carlo simulations.Finally,analysis of a real data set is presented for illustrative purposes.