文献类型：期刊文献

英文题名：A Note on Lower Bound of Centered L-2-discrepancy on Combined Designs

作者：Lei, Yi Ju[1];Ou, Zu Jun[2,3];Qin, Hong[2];Zou, Na[4]

第一作者：雷轶菊

通讯作者：Lei, YJ[1]

机构：[1]Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China;[2]Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Hubei, Peoples R China;[3]Jishou Univ, Coll Math & Comp Sci, Jishou 416000, Peoples R China;[4]Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430079, Hubei, Peoples R China

第一机构：新乡学院数学与信息科学学院

通讯机构：[1]corresponding author), Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China.|[1107121]新乡学院数学与信息科学学院;[11071]新乡学院;

年份：2012

卷号：28

期号：4

起止页码：793-800

外文期刊名：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录：;Scopus(收录号：2-s2.0-84858001105);WOS:【SCI-EXPANDED(收录号:WOS:000422715000002)】；

基金：Supported by SRFDP (Grant No. 20090144110002), National Natural Science Foundation of China (Grant No. 10671080), Key Project of Chinese Ministry of Education (Grant No. 105119), NCET (Grant No. 06-672), Scientific Research Plan Item of Hunan Provincial Department of Education (Grant No. 10C1091), Innovation Program and Independent Research Project Funded by CCNU

语种：英文

外文关键词：Centered L-2-discrepancy; optimal foldover plan; uniformity; uniformity pattern

摘要：This note provides a theoretical justification of optimal foldover plans in terms of uniformity. A new lower bound of the centered L-2-discrepancy values of combined designs is obtained, which can be used as a benchmark for searching optimal foldover plans. Our numerical results show that this lower bound is sharper than existing results when more factors reverse the signs in the initial design.