摘要
设系统Ａ由Ｋ个相互独立的元件Ｂ１，Ｂ２，…，ＢＫ和一个转换开关组成的贮备系统，设元件Ｂ１，Ｂ２，…，ＢＫ的寿命服从参数为λ泊松分布，λ已知或未知，设转换开关为成败型元件，可靠性ｐ已知或未知．设在λ未知时，对元件寿命有样本Ｘ１，Ｘ２，…，Ｘｎ，在ｐ未知时，对转换开关有成败型试验数据（Ｎ，Ｓ）．本文研究此贮备系统可靠性的ｆｉｄｕｃｉａｌ置信限．
Suppose that the standby system A is composed of independent components B 1,B 2,…,B K and swith. Suppose that the ilfe X of the component B has poisson distribution,parameter λ is unknown(or known), i=1,2,…,K .Suppose the swith is a pass fail component,the reliability of swith, p is unknown(or known). Suppose that X 1,X 2,…,X n is a random sample of X ,and for the swith one make N independent tests, and the number of successful test is S . In this paper,we discuss the fiducial lower confidence limit of reliability for the standby system.
基金
浙江省自然科学基金
