摘要
设A为由K个相互独立的成败型元件组成的串联系统,第i个元件的可靠性pi,pi未知,i=1,2,…,K.设对第i个元件,对于给定的mi,有ni个巴斯卡试验数据:Xi1,Xi2,…,Xini,其中Xij表示对第i个元件进行试验,试验进行到mi次成功时所需要的试验次数j=1,2,…,ni,i=1,2,…,K.记Ti=Xi1+Xi2+…+Xini,i=1,2,…,k.本文研究基于统计量(T1,T2,…,Tk)求串联系统A的可靠性经典精确最优置信下限.
Suppose A is a series system of independent pass-fail components B1,B2,…,Bk,The reliability of Bi is pi, and the pi is unknow,i=1, 2, …,K.Suppose Xi is a Packa random variable with parameters mi , pi, and the mi is know. Suppose Xi1, Xi2, …,Xini is a random sample of Xi, i=1, 2,…,K. LetTi=Xi1+Xi2+…+Xini, i=1, 2,…,K.In this paper, we discuss the classical exact optimal confidence limit of reliability for the series system A based on the statistics (T1,T2,…,Tk )
出处
《经济数学》
1996年第2期109-112,共4页
Journal of Quantitative Economics
基金
浙江省自然科学基金
关键词
成败型元件
串联系统
可靠性
经典精确最优置信限
Pass-fail component, series system, reliability, classical exact lower confidence limit