应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2004年
1期
66-76
,共11页
胡太忠%贺方毅%Baha-Eldin Khaledi
鬍太忠%賀方毅%Baha-Eldin Khaledi
호태충%하방의%Baha-Eldin Khaledi
一般随机序%失效率序%似然率序%平均剩余寿命序%单增凹(凸)序%右伸展序%寿命分布类
一般隨機序%失效率序%似然率序%平均剩餘壽命序%單增凹(凸)序%右伸展序%壽命分佈類
일반수궤서%실효솔서%사연솔서%평균잉여수명서%단증요(철)서%우신전서%수명분포류
Usual stochastic order%hazard rate order%likelihood ratio order%mean residual life order%increasing concave (convex) order%right spread order%ILR%DLR%IFR%DFR%DMRL%IMRL%IFR(2)%DFR(2)%DMRLS%IMRLS
本文基于分散型和(或)扩散型随机序,利用随机变量的剩余寿命给出了寿命分布类ILR,IFR,DMRL和IFR(2)及其对偶类的刻画.作为主要结果的一个应用,用k/n-系统的剩余寿命对IFR和DMRLS及其对偶类进行了刻画.这些结果拓宽和加强了文献中已有的结果.
本文基于分散型和(或)擴散型隨機序,利用隨機變量的剩餘壽命給齣瞭壽命分佈類ILR,IFR,DMRL和IFR(2)及其對偶類的刻畫.作為主要結果的一箇應用,用k/n-繫統的剩餘壽命對IFR和DMRLS及其對偶類進行瞭刻畫.這些結果拓寬和加彊瞭文獻中已有的結果.
본문기우분산형화(혹)확산형수궤서,이용수궤변량적잉여수명급출료수명분포류ILR,IFR,DMRL화IFR(2)급기대우류적각화.작위주요결과적일개응용,용k/n-계통적잉여수명대IFR화DMRLS급기대우류진행료각화.저사결과탁관화가강료문헌중이유적결과.
Some aging notions (ILR, IFR, DMRL, IFR(2) and their duals) are characterized in terms of the dispersion-type or dilation-type variability orders, using the residual lifetime of the underlying random variable. As one application of the main results, the aging notions IFR and DMRLS and their duals are also characterized by using the residual lifetimes of k-out-of-n systems. These results extend and strengthen some known characterizations in the literature.
