二三混水平设计可卷型L2-偏差的新下界

doi:10.13438/j.cnki.jdzk.2021.02.005

吉首大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (2): 26-30.DOI: 10.13438/j.cnki.jdzk.2021.02.005

二三混水平设计可卷型L₂-偏差的新下界

王治清，罗彪，欧祖军

(吉首大学数学与统计学院,湖南吉首 416000)

出版日期:2021-03-25 发布日期:2021-08-29
通讯作者: 欧祖军(1979—),男，湖南宜章人，吉首大学数学与统计学院教授，博士，主要从事概率统计和试验设计研究.
基金资助:
国家自然科学基金资助项目(11961027,11561025,11701213)；湖南省自然科学基金资助项目(2020JJ4497)；湖南省教育厅重点项目(18A284,19A403)；吉首大学科学研究项目(JDY19003)

New Lower Bound of Wrap-Around L₂-Discrepancy for Mixed Two- and Three-Level Designs

WANG Zhiqing, LUO Biao, OU Zujun

(College of Mathematics and Statistics,Jishou University, Jishou416000, Hunan China)

Online:2021-03-25 Published:2021-08-29

摘要/Abstract

摘要：研究了二三混水平设计在可卷型L₂-偏差下的均匀性,获得了可卷型L₂-偏差的一个新的下界.

关键词： 均匀设计, 混水平设计, 可卷型L₂-偏差, 下界

Abstract: In this paper, the uniformity of mixed two- and three-level designs measured by wrap-around L₂-discrepancy is discussed, and a new lower bound of wrap-around L₂-discrepancy is provided.

Key words: uniform design, mixed-level design, wrap-around L₂-discrepancy, lower bound

王治清, 罗彪, 欧祖军. 二三混水平设计可卷型L₂-偏差的新下界[J]. 吉首大学学报（自然科学版）, 2021, 42(2): 26-30.

WANG Zhiqing, LUO Biao, OU Zujun. New Lower Bound of Wrap-Around L₂-Discrepancy for Mixed Two- and Three-Level Designs[J]. Journal of Jishou University(Natural Sciences Edition), 2021, 42(2): 26-30.

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二三混水平设计可卷型L₂-偏差的新下界

New Lower Bound of Wrap-Around L₂-Discrepancy for Mixed Two- and Three-Level Designs

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