摘要
本文介绍绝对连续型NBUE寿命分布的一个新的刻画:一个寿命分布具有NBUE性当且仅当它随机地大于具有相应的平衡分布的随机变量,讨论了此刻画在可靠性与寿命检验中的应用,并建立了严格NBUE性的一个非参数检验方法。
A now interpretation of the NBUE (new better than used in expectation) class of life distributions with absolutely continuous distribution functions is introduced. In effect, a life distribution is NBUE if, arid only if, it is stochastically larger than the equilibrium distribution of the excess life in the renewal process with such an underlying distribution. Based upon this characterization, some applications in reliability and life-testing are proposed. Furthermore, a nonparamctric procedure is also developed to test for the exponentiality against the strict NBUE property.
出处
《应用概率统计》
CSCD
北大核心
2003年第2期113-117,共5页
Chinese Journal of Applied Probability and Statistics
基金
NSFC under Grant no.TY 10126014 and by a grant from Lanzhou University
关键词
剩余寿命
平衡分布
随机大
非参数检验
Excess life, equilibrium distribution, NBUE, stochastically larger, testing hypothesis.
