G-optimal exact designs for quadratic regression

被引：1

作者：

Imhof, Lorens A. ^{[1
,2
]}

机构：

[1] Univ Bonn, Dept Stat, D-53113 Bonn, Germany

[2] Univ Bonn, Hausdorff Ctr Math, D-53113 Bonn, Germany

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2014年 / 154卷

关键词：

Admissibility; Experimental design; Optimal design; Polynomial regression; LOG CONTRAST MODEL; POLYNOMIAL REGRESSION;

D O I：

10.1016/j.jspi.2014.03.008

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Exact experimental designs are presented that minimize the maximum variance of the best linear unbiased estimator of a quadratic regression function on an interval. The main result confirms a conjecture of Constantine, Lim and Studden, which is based on earlier computations of Gaffke and Krafft (Constantine et al. [1987. Admissible and optimal exact designs for polynomial regression. J. Statist. Plann. Inference 16, 15-32], Gaffke and Krafft [1982. Exact D-optimum designs for quadratic regression. J. Roy. Statist. Soc. Ser. B 44, 394-397]). (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：133 / 140

页数：8

共 26 条

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