扩张配对设计的最优构造  

Optimal selection of augmented pairs designs

作　　者：马海南[1] 陈雪平[2,3] MA Hai-nan;CHEN Xue-ping(Department of Humanities and Social Sciences,Zhejiang Industry Polytechnic College,Shaoxing 312000,China;Department of Statistics,Jiangsu University of Technology,Changzhou 213001,China;LPMC and Institute of Statistics,Nankai University,Tianjin 300071,China)

机构地区：[1]浙江工业职业技术学院人文社科部,浙江绍兴312000 [2]江苏理工学院统计系,江苏常州213001 [3]南开大学统计研究院,天津300071

出　　处：《高校应用数学学报（A辑）》2019年第4期402-408,共7页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11601195;11601538);江苏省自然科学基金(BK20160289);江苏高校“青蓝工程”

摘　　要：在一般情形下讨论了扩张配对设计(Augmented Pairs Designs)的最优选择问题,给出了配对扩张设计对应信息矩阵行列式的上下界,在此基础上研究了相应的D最优设计,并给出了一类D最优配对扩张设计的构造方法.In this paper, the problem on how to select augmented pairs design in general is discussed. Both low bound and upper bound of the determinant of information matrix based on augmented pairs designs are obtained. D-optimal augmented pairs designs are also studied and the corresponding construction is given.

关 键 词：试验设计 响应曲面设计 D-效率 正交表 

分 类 号：O212.6[理学—概率论与数理统计]