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

页码：65 / 71

页数：7