二三混水平U型设计的平均中心化L_(2)-偏差  

Average centered L_(2)-discrepancy for mixed two and three levels U-type designs

作　　者：韦锦慧 汪政红[1] WEI Jinhui;WANG Zhenghong(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2024年第1期133-137,共5页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家统计局优选资助项目(2022LY051);中央高校基本科研业务费专项资金资助项目(CZQ22003)。

摘　　要：利用水平置换技术,给出二三混水平U型设计的平均中心化L_(2)-偏差的计算公式及其详细证明,在此基础上推导出平均中心化L_(2)-偏差与GMA准则、正交性准则之间的联系,以及平均中心化L_(2)-偏差的一个下界,最后通过数值实例说明这一下界是紧的.By using level permutation technique,the calculation formula of average centered L_(2)-discrepancy for mixed two and three levels U-type designs is given,and a detailed proof is also provided.Based on this formula,connections between average centered L_(2)-discrepancy and GMA criterion、orthogonality criterion,and a lower bound for average centered L_(2)-discrepancy are derived.Finally,a numerical example is presented to verify that the lower bound is tight.

关 键 词：均匀性 平均中心化L_(2)-偏差 水平置换 广义最小低阶混杂 正交性 

分 类 号：O212.6[理学—概率论与数理统计]