Generalized discrete discrepancy and its applications in experimental designs

被引：16

作者：

Chatterjee, Kashinath ^{[2
]}

Qin, Hong ^{[1
]}

机构：

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

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

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2011年 / 141卷 / 02期

关键词：

Discrete discrepancy; Generalized minimum aberration; Lower bound; Minimum moment aberration; Orthogonality; Uniformity; MINIMUM MOMENT ABERRATION; FACTORIAL-DESIGNS; SUPERSATURATED DESIGNS; UNIFORMITY; CONNECTION;

D O I：

10.1016/j.jspi.2010.08.014

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：

In recent years, there has been increasing interest in the study of discrete discrepancy. In this paper, the popular discrete discrepancy is extended to the so-called generalized discrete discrepancy. Connections among generalized discrete discrepancy and other optimality criteria, such as orthogonality, generalized minimum aberration and minimum moment aberration, are investigated. These connections provide strong statistical justification of generalized discrete discrepancy. A lower bound of generalized discrete discrepancy is also obtained, which serves as an important benchmark of design uniformity. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.

引用

页码：951 / 960

页数：10

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