UNIFORM FOUR-LEVEL DESIGNS FROM TWO-LEVEL DESIGNS: A NEW LOOK

被引：16

作者：

Chatterjee, Kashinath ^{[1
]}

Ou, Zujun ^{[2
]}

Phoa, Frederick K. H. ^{[3
]}

Qin, Hong ^{[4
]}

机构：

[1] Visva Bharati Univ, Dept Stat, Santini Ketan, W Bengal, India

[2] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China

[3] Acad Sinica, Inst Stat Sci, Taipei 11529, Taiwan

[4] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China

来源：

STATISTICA SINICA | 2017年 / 27卷 / 01期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Efficiency; lower bound; modified gray map; quaternary code; uniform design; QUATERNARY CODE DESIGNS; DISCREPANCY;

D O I：

10.5705/ss.202015.0230

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：

Literature reviews reveal that the research on the issue of constructing efficient uniform designs has been very active in the last decade. In addition, coding theory is widely used in the context of constructing good optimal designs. The present paper explores the construction of highly efficient four-level uniform designs via two transformations: a modified Gray map code and a mapping between quaternary codes and the sequence of three binary codes. Efficiency is based on uniformity measured by the centered L-2- and wrap-around L-2-discrepancies of the four-level designs' binary images. Some results related to the lower bounds of the uniformity measures for such designs are also considered in this study.

引用

页码：171 / 186

页数：16

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