应力-强度模型可靠性评估的仿真分析

Simulation of Reliability Evaluation in a Stress - Strength Model

在应力－强度干涉模型中，当应力、强度均服从正态分布，且分布参数未知的情况下，讨论了给定验前分布情况下的可靠性Ｂａｙｅｓ精确下限，同时给出了无验前信息时的可靠性Ｂａｙｅｓ精确下限。鉴于精确限计算的复杂性，给出了应力－强度模型可靠性下限的近似计算方法，同时给出了可靠性的近似分布。最后，利用Ｍｏｎｅｔ－Ｃａｒｌｏ方法分析了近似算法的精度。

In a stress - strength interference medal , accurate Bayesian lower hands of reliability are discussed when the stress and strength are independent and follow normal distributions. Besides, accurate Bayesian lower bounds of reliability are given when none of prior information is available. Because of the complexity of calculating accurate lower bounds, the approximate methods are given to calculate the reliability lower bounds of a stress- strength model. At the same time, the approximate distribution of the reliability is given. Finally, the precision of the approximate methods is analyzed using Monte - Carlo simulation.