摘要
本文讨论具有r个元件的系统可靠性的置信下限问题。设试验数据是成败型的,分成两层,有系统的试验数据,也有元件的试验数据。本文利用虚拟系统法求出系统可靠性R_O的置信下限(?)_(LM)。本文证明(?)_(LM)在渐近意义下水平相合,并且其渐近方差达到极小。
In this paper we deal with a system with r components connected in series. Let the reliability of the system be R0, the reliabilities of the components be R1, i =1, …, r. The number of trials of the system is n0 with s0 successes. For the components, the munbers of trials are ni, with s1 successes respectively. To set the confidence limit, virtual system method (SV method), which is developed from Lindstrom and Maddens Method, is employed. It is shown that the VS confidence limit Rva is level consistent and is efficient in the sense that Rva-R0 admits the minimum variance asymptotically.
出处
《北京大学学报（自然科学版）》
CAS
CSCD
北大核心
1993年第1期26-34,共9页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金
高校博士点基金
关键词
串联系统
可靠性
虚拟系统法
System connected in series
Reliability
L-M method
Virtual System Method
