Reversed preservation of stochastic orders for random minima and maxima with applications

被引：0
作者：
Ibrahim Ahmad
Mohamed Kayid
机构：
[1] University of Central Florida,Department of Statistics and Actuarial Science
[2] Suez Canal University,Department of Mathematics, Faculty of Education (Suez)
来源：
Statistical Papers | 2007年 / 48卷
关键词：
Random minima (maxima); TTT-transform order; right spread order; increasing convex (concave) order; DMRL; NBUC; NBU(2); NBUT;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, reversed preservation properties of right spread order, total time on test order and increasing convex (concave) order when taking random minima and maxima are developed. In this context, reversed preservation properties of some ageing concepts are investigated under parallel (series) systems which are composed of a random number of i.i.d. components. Some applications in reliability and economics are given.
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页码：283 / 293
页数：10
相关论文
共 29 条
  • [1] Bryson MC(1969)Some criteria for ageing J. Amer. Statist. Asoc 64 1472-1483
  • [2] Siddiqui MM(2001)Stochastic comparisons of random minima and maxima from life distributions Math. Statist. Prob. 55 107-112
  • [3] Bartoszewicz J(1992)Correction for the J. Appl. Prob. 29 753-753
  • [4] Cao J(1991) and J. Appl. Prob. 28 473-479
  • [5] Wong Y(1986) classes of life distributions J. Appl. Prob. 23 748-758
  • [6] Cao J(1999)The Stat. Papers 40 393-406
  • [7] Wong Y(1998) and J. Appl. Prob. 35 221-228
  • [8] Deshpande JV(2002) classes of life distributions Adv. Appl. Prob. 34 826-845
  • [9] Kochar SC(1987)Aspects of positive ageing Naval Res. Logist 34 823-829
  • [10] Singh H(2005)A characterization of the dilation order and its applications Stat. Papers 46 65-78
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