正交性和最大最小距离准则的联系  

On the Connection Between Orthogonality and Maximin Distance Criteria

作　　者：庞彤辉 王艳 杨建峰 Pang Tonghui;Wang Yan;Yang Jianfeng(School of Mathematics,Tianjin University,Tianjin 300350,China;School of Statistics and Data Science,LPMC&KLMDASR,Nankai University,Tianjin 300071,China)

机构地区：[1]天津大学数学学院,天津300350 [2]南开大学统计与数据科学学院,天津300071

出　　处：《南开大学学报（自然科学版）》2022年第2期69-73,共5页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：国家自然科学基金(11871033,11871052);天津市自然科学基金(20JCYBJC01050);中央高校基本科研业务费专项资金。

摘　　要：最大最小距离设计和正交设计在计算机试验和实体试验中备受关注.研究了一类正交U-型设计在最大最小距离准则下的表现.结果表明,此类设计如果在正交性准则下是最优的,那么在最大最小距离准则下也是最优的,从而表明正交设计和最大最小距离设计有着密切联系.Maximin distance designs and orthogonal designs are widely used in computer and physical experiments. We study the performance of a class of orthogonal U-type design under the maximin distance criterion. The results show that any U-type orthogonal design(n,s;) is also optimal under the maximin distance criterion. This also shows that the orthogonal design and the maximin distance design is closely related.

关 键 词：计算机试验 最大最小距离 正交性 U-型设计 

分 类 号：O212[理学—概率论与数理统计]