摘要
对Lehmann和Rojo给出的关于各种随机序关系的定理作进一步推广 ;说明有序总体的同阶次序统计量仍保持序关系 ;
In the present paper the authors first make a generlization of Lehmann and Rojo's theorem on the kinds of ordering relationships, then show that the i th order statistic of (X 1,...,X n) and the i th order statistic of (Y 1,...,Y n) keep the ordering relationships between X and Y for i=1,...,n. At last the authors investigate the invariance of the kinds of ordering relationships under monotone transformations and the invariance of dispersive ordering under convex(concave) functions.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2002年第1期1-9,共9页
Journal of Jilin University:Science Edition
关键词
随机序
逆危险率序
似然比序
散度序
随机变量
随机比较
序关系
不变性
stochastic ordering
hazard rate ordering
reversed hazard rate ordering
likelihood ratio ordering
dispersive ordering
