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二项串联系统可靠性经典方法精确置信限的计算及讨论
引用本文:黄柏琴,金振宏.二项串联系统可靠性经典方法精确置信限的计算及讨论[J].宇航学报,1987(2).
作者姓名:黄柏琴  金振宏
作者单位:浙江大学应用数学系 (黄柏琴),浙江大学应用数学系(金振宏)
摘    要:本文进一步阐述了用现有的三种不同的排序法计算二项串联系统可靠性经典的精确置信限的方法,指出了M.Lipow和J.Riley在1960年所编制的置信限表所存在的一些问题,介绍了我们所编制的程序具有精确度高且便于推广到多个元件(各元件的试验次数可不相同)的特点,发现了用现有的三种不同的排序法计算精确置信限时所存在的不合理性。我们认为,求解二项串联系统可靠性经典方法的精确置信限问题至今仍然没有解决。

关 键 词:二项串联系统  系统可靠性  置信界限  计算  可靠性数学  元件试验  失效分析

COMPUTING AND STUDYING THE CLASSIC EXACT CONFIDENCE LIMITS FOR BINOMIAL SERIES SYSTEM RELIABILITY
Huang Boqin Jin Chenghong.COMPUTING AND STUDYING THE CLASSIC EXACT CONFIDENCE LIMITS FOR BINOMIAL SERIES SYSTEM RELIABILITY[J].Journal of Astronautics,1987(2).
Authors:Huang Boqin Jin Chenghong
Institution:Dept. of Appl. Moth. Zhejiang Univ.
Abstract:In this article, we describe three well-known ways of ordering to obtain the classic exact confidence limits for binomial series system reliability, and point out the problems found in the confidence limits tabulated by M.lipow and J.Riley in 1960. Our programs can be easily generalized to many components (the numbers of trial may be different) with high accuracy. We discover the unreasonableness existing in the said ways of ordering. It seems to us that the problem of how to obtain the exact confidence limits for a binomial series system is still unsolved.
Keywords:Binomial series system  System reliability  Confidence limit  Computation  Reliability mathematics  Component test  Failure analysis  
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