A-Optimal designs for mixture polynomial models with heteroscedastic errors

被引：0
|
作者：
Yan, Fei [1 ]
Li, Junpeng [2 ]
Jiang, Haosheng [2 ]
Zhang, Chongqi [2 ]
机构：
[1] Beijing Normal Univ, Sch Appl Math, Zhuhai 519087, Peoples R China
[2] Guangzhou Univ, Sch Econ & Stat, Guangzhou 510006, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 11期
基金：
中国国家自然科学基金;
关键词：
mixture experiments; heteroscedasticity; A-optimal design; mixture polynomial models; direct sum design;
D O I：
10.3934/math.20231369
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper searches A-optimal designs for mixture polynomial models when the errors are heteroscedastic. Sufficient conditions are given so that A-optimal designs for the complex mixture polynomial models can be constructed from the direct sum of A-optimal designs for their sub-mixture models with different structures of heteroscedasticity. Several examples are presented to further illustrate and check optimal designs based on A-optimality criterion.
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页码：26745 / 26757
页数：13
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