STUDY ON LIFE DISTRIBUTION CLASSES
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摘要: 本文简要地叙述了一维寿命分布类引入的实际背景,基本性质,并着重介绍寿命分布与指数分布或几何分布的贴近性研究及寿命分布类的可靠度界等问题。许多结果是新近获得的。Abstract: In this paper we investigate basic properties of various life distribution classes: IFR,IFRA,NBU,DMRL,NBUE,HNBUE and their dual.1.closureness under various reliability operations;2.closureness under shook models;3.closureness under weak convergence;4.characterizations of L-S transforms of life distribution classes;5. characterizations of total time on test transforms of life distribution classes;6.proxi mity between the exponential distribution and an arbitrary distribution in a certain life class;7.reliability bounds in a certain life class.Many of results are obtained recently.
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