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二三混水平设计可卷型L_(2)-偏差的新下界

New Lower Bound of Wrap-Around L_(2)-Discrepancy for Mixed Two-and Three-Level Designs
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摘要 研究了二三混水平设计在可卷型L_(2)-偏差下的均匀性,获得了可卷型L_(2)-偏差的一个新的下界. In this paper,the uniformity of mixed two-and three-level designs measured by wrap-around L_(2)-discrepancy is discussed,and a new lower bound of wrap-around L_(2)-discrepancy is provided.
作者 王治清 罗彪 欧祖军 WANG Zhiqing;LUO Biao;OU Zujun(College of Mathematics and Statistics,Jishou University, Jishou416000, Hunan China)
出处 《吉首大学学报(自然科学版)》 CAS 2021年第2期26-30,64,共6页 Journal of Jishou University(Natural Sciences Edition)
基金 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)。
关键词 均匀设计 混水平设计 可卷型L_(2)偏差 下界 uniform design mixed-level design wrap-around L_(2)-discrepancy lower bound
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  • 1Fang K T. The uniform design: application of number-theoretic methods in experimental design. Acta Math Appl Sinica, 1980, 3:363-372 被引量:1
  • 2Fang K T, Ge G N, Liu M Q, Qin H. Construction of minimum generalized aberration designs. Metrika,2003, 57:37-50 被引量:1
  • 3Fang K T, Lin D K J, Ma C X. On the construction of multi-level supersaturated designs. J Statist Plann and Inference, 2000, 86:239 252 被引量:1
  • 4Fang K T, Lin D K J, Winker P, Zhang Y. Uniform design: theory and applications. Technometrics, 2000,42:237-248 被引量:1
  • 5Fang K T, Lu X, Winker P. Lower bounds for centered and wrap-around L2-discrepancies and construction of uniform designs by threshold accepting. J Complexity, 2003, 19:692-711 被引量:1
  • 6Fang K T, Ma C X, Winker P. Centered L2-discrepancy of random sampling and Latin hypercube design,and construction of uniform design. Math Comp, 2002, 71:275 -296 被引量:1
  • 7Fang K T, Shiu C X, Pan J X. Uniform designs based on Latin squares. Statist Sinica, 1999, 9:905 -912 被引量:1
  • 8Fang K T, Wang Y. Number-Theoretic Methods in Statistics. London: Chapman and Hall, 1994 被引量:1
  • 9Fang Y. Relationships between uniform design and orthogonal design. The 3rd International Chinese Statistical Association Statistical Conference. Beijing, 1995 被引量:1
  • 10Hedayat A S, Sloane N J, Stufken J. Orthogonal Arrays: Theory and Application. Springer, 1999 被引量:1

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