New lower bound for centered L2-discrepancy of four-level U-type designs

被引：25
作者：
Elsawah, A. M. [1 ,2 ]
Qin, Hong [1 ]
机构：
[1] Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China
[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
来源：
STATISTICS & PROBABILITY LETTERS | 2014年 / 93卷
基金：
中国国家自然科学基金;
关键词：
Uniform designs; U-type designs; Centered L-2-discrepancy; Lower bounds; UNIFORM DESIGNS;
D O I：
10.1016/j.spl.2014.06.008
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：
A new lower bound of the centered L-2-discrepancy for four-level U-type designs is obtained. Our new lower bound is sharper and valid for a lot of designs more than other existing lower bound, which is a useful complement to the lower bounds of discrepancies. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：65 / 71
页数：7
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