Sharp bounds for the expected value of order statistics

被引:10
作者
Huang, JS [1 ]
机构
[1] UNIV GUELPH,DEPT MATH & STAT,GUELPH,ON N1G 2W1,CANADA
基金
加拿大自然科学与工程研究理事会;
关键词
order statistics; expected value; bounds; schwarz inequality; greatest convex minorant;
D O I
10.1016/S0167-7152(96)00116-2
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Asymmetric sharp bounds are obtained for the expected values of order statistics using Moriguti's idea of the greatest convex minorant. It rectifies some results in the literature.
引用
收藏
页码:105 / 107
页数:3
相关论文
共 3 条
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BALAKRISHNAN, N .
STATISTICS & PROBABILITY LETTERS, 1993, 18 (04) :301-305
[2]  
Ludwig O., 1973, P 4 C PROB THEOR BRA
[3]   A MODIFICATION OF SCHWARZS INEQUALITY WITH APPLICATIONS TO DISTRIBUTIONS [J].
MORIGUTI, S .
ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (01) :107-113