记录值中的随机序与年龄性质

运筹学学报 ›› 2014, Vol. 18 ›› Issue (2): 103-110.

记录值中的随机序与年龄性质

伍锦棠^1,2,*

1. 厦门大学数学科学学院, 福建厦门 361005, 2. 华侨大学数学科学学院, 福建泉州 362021

出版日期:2014-06-15 发布日期:2014-06-15
通讯作者: 伍锦棠 E-mail:wjt362343@hqu.edu.cn
基金资助:
国家自然科学基金 (No.11171278)

Stochastic orders and aging properties on record values

WU Jintang^1,2,*

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China, 2. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, China

Online:2014-06-15 Published:2014-06-15

摘要/Abstract

摘要： 研究记录值中的随机序与年龄性质. 证明了任何通过两个分布函数的行为所定义的随机序, 均可以被它们相应的记录值所保持, 而两个随机变量之间的剩余财富序, 可以导致其相应记录值序列的平均连续增量的序关系. 也讨论了k-记录值的连续增量的年龄性质.

关键词: 平均剩余寿命递减, 失效率递增, 剩余财富序, 实验总时间序

Abstract: This paper studies stochastic orders and aging properties of record values. Any stochastic order on two underlying distributions defined only through the behavior of their distribution functions is proved to be inherited by the usual record values. It is also shown that the expected consecutive increment of usual record values preserves the excess wealth order of the underlying distributions. Aging behaviors of the consecutive increments of a sequence of k-record values are investigated as well.

Key words: increasing failure rate, new better than used, new better than used in convex order, excess wealth order, total time on test transform order

中图分类号:

O211

伍锦棠. 记录值中的随机序与年龄性质[J]. 运筹学学报, 2014, 18(2): 103-110.

WU Jintang. Stochastic orders and aging properties on record values[J]. Operations Research Transactions, 2014, 18(2): 103-110.

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