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几类随机序关系关于随机最大与随机最小的反向封闭性质
引用本文:王文新,李效虎.几类随机序关系关于随机最大与随机最小的反向封闭性质[J].应用概率统计,2006,22(2):120-126.
作者姓名:王文新  李效虎
作者单位:1. 华北电力大学应用数学系,保定,071003
2. 兰州大学数学与统计学院,兰州,730000
基金项目:This research was supported by the National Natural Science Foundations of China(10201010) and the Action Programming Funding of Lanzhou University
摘    要:研究了右扩展序、TTT序、单调增凸序和单调增凹序分别关于随机最大与随机最小的反向封闭性质, 并讨论了相关年龄概念关于随机最大与随机最小的反向封闭性质.

关 键 词:DMRL  单调增凹序  单调增凸序  NBUC  NWUT  NWU(2)  右扩展序  TTT变换序.
收稿时间:2004-01-13
修稿时间:2004-09-29

Reversed Preservation Properties of Some Stochastic Orders under Random Maxima and Minima*
WANG WENXIN,LI XIAOHU.Reversed Preservation Properties of Some Stochastic Orders under Random Maxima and Minima*[J].Chinese Journal of Applied Probability and Statisties,2006,22(2):120-126.
Authors:WANG WENXIN  LI XIAOHU
Institution:Department of Applied Mathematics, North China Electric Power University, Baoding, 071003; Bchool of Mathematics and Btatistics, Lanzhou University, Lanzhou, 730000
Abstract:Reversed preservation properties of the right spread order, the total time on test transform order, the increasing concave order and the increasing convex order under the taking of random maxima and minima are investigated respectively. As application, reversed preservation properties of some related aging conceptions under the taking of random maxima and minima are developed as well.
Keywords:DMRL  increasing concave order  increasing convex order  NBUC  NWUT  NWU(2)  right spread order  total time on test transform order
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