寿命分布NBUE性质的一个新刻画及应用

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 new interpretation of the NBUE (new better than used in expectation) class of life distributions withabsolutely continuous distribution functions is introduced. In effect, a life distribution is NBUE if, and only if,it is stochastically larger than the equilibrium distribution of the excess life in the renewal process with such anunderlying distribution. Based upon this characterization, some applications in reliability and life-testing areproposed. Furthermore, a nonparametric procedure is also developed to test for the exponentiality against thestrict NBUE property.