Lee discrepancy and its applications in experimental designs

doi:10.1016/j.spl.2008.01.062

科研成果详情

题名	Lee discrepancy and its applications in experimental designs
作者	Zhou，Yong Dao 1,2; Ning，Jian Hui 2,3; Song，Xie Bing 2
发表日期	2008-09-15
发表期刊	Statistics and Probability Letters
ISSN/eISSN	0167-7152
卷号	78 期号:13 页码:1933-1942
摘要	Various discrepancies have been defined in uniform designs, such as centered L-discrepancy, wrap-around L-discrepancy and discrete discrepancy. Among them the discrete discrepancy can explore relationships among uniform designs, fractional factorial designs, and combinational designs. However, the discrete discrepancy is mainly good for two-level factorial designs. In this paper, a new discrepancy based on the Lee distance, Lee discrepancy, is proposed and its computational formula is given. The Lee discrepancy can expand the relationships between the discrete discrepancy and some criteria for factorial designs with multiple levels. Some lower bounds of the Lee discrepancy for symmetrical and asymmetrical designs are given, and some connections between the Lee discrepancy and the generalized minimum aberration are considered. Finally, relationships between the Lee discrepancy and majorization framework are also considered. © 2008 Elsevier B.V. All rights reserved.
DOI	10.1016/j.spl.2008.01.062
URL	查看来源
语种	英语English
Scopus入藏号	2-s2.0-49649101630
引用统计
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/6657
专题	北师香港浸会大学
作者单位	1.Department of Mathematics,Sichuan University,Chengdu, 610064,China 2.Department of Science and Technology,BNU-HKBU United International College,Zhuhai, 519085,China 3.Department of Mathematics and Statistics,Central China Normal University,Wuhan, 430079,China
第一作者单位	北师香港浸会大学
推荐引用方式 GB/T 7714	Zhou，Yong Dao,Ning，Jian Hui,Song，Xie Bing. Lee discrepancy and its applications in experimental designs[J]. Statistics and Probability Letters, 2008, 78(13): 1933-1942.
APA	Zhou，Yong Dao, Ning，Jian Hui, & Song，Xie Bing. (2008). Lee discrepancy and its applications in experimental designs. Statistics and Probability Letters, 78(13), 1933-1942.
MLA	Zhou，Yong Dao,et al."Lee discrepancy and its applications in experimental designs". Statistics and Probability Letters 78.13(2008): 1933-1942.