中文摘要：

本文研究了由k个相互独立的元件和一个转换开关组成的贮备系统。假设元件的寿命服从对数正态分布,转换开关为成败型,本文给出了系统可靠性的表达式、点估计以及Fiducial和Bayes置信下限。此外,还给出了系统可靠性的点估计以及置信下限的数值计算方法。在小样本情形下,通过数值比较研究了Fiducial置信下限和Bayes置信下限的覆盖率性质。

英文摘要：

This article studies a standby system composed of k independent components and a switch. Suppose that the lifetimes of the components follow lognormal distributions and the switch is a passfailure type. The expression,point estimation,Fiducial and Bayesian lower confidence limits for system reliability are obtained. Furthermore,numerical computations for the point estimation and the lower confidence limits are presented. For small sample,the coverage properties of Fiducial and Bayesian lower confidence limits through numerical comparison are also investigated.