Birnbaum-Saunders分布环境因子的置信限

Confidence limits for the environment factor of the Birnbaum-Saunders distribution

环境因子在不同环境下试验数据的折算与综合问题中有着重要应用。在失效机理保持不变的条件下,讨论Birnbaum-Saunders疲劳寿命分布环境因子的估计问题。设产品在环境1、环境2下的某指标分别为X、Y,定义环境因子K EX EY,给出了X、Y的分布均服从Birnbaum-Saunders疲劳寿命分布时K的置信限。

Environmental factors are essential to be applied to convert and synthesize some test data. Under the condition of constant failure mechanism, the estimation of the environmental factors is discussed. Let X denote the index of product in environment 1, Y denote the one in environment 2, and environmental factors are defined as K = EX/EY. In this paper, the confidence limits for the environment factors are given when the distributions of Xand Yare all Birnbaum-Saunders fatigue life distribution.