A-optimal designs for an additive cubic model

被引：1
|
作者：
Aggrawal, Manohar [1 ]
Singh, Poonam [2 ]
Panda, Mahesh Kumar [2 ]
机构：
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
[2] Univ Delhi, Dept Stat, Delhi 110007, India
来源：
STATISTICS & PROBABILITY LETTERS | 2011年 / 81卷 / 02期
关键词：
Additive mixture model; A-optimal design; Symmetric weighted centroid design; Barycentre; Mixture component; MIXTURE-MODELS;
D O I：
10.1016/j.spl.2010.10.008
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：
Chan et al. (1998a) obtained A-optimal designs for an additive quadratic mixture model for q >= 3 mixture components. In this paper, we obtain the A-optimal designs for an additive cubic model for q >= 3 mixture components using the class of symmetric weighted centroid designs based on barycentres of various depths. We observe that barycentres of depths 0 and 2 are possible support points for an A-optimal design. We have also given the optimal weights of A-optimal designs for 3 <= q <= 17. (C) 2010 Elsevier B.V. All rights reserved.
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页码：259 / 266
页数：8
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