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Research Article | Open Access

A-Optimal designs for mixture polynomial models with heteroscedastic errors

Fei Yan1( ), Junpeng Li2, Haosheng Jiang2, Chongqi Zhang2
School of Applied Mathematics, Beijing Normal University, Zhuhai, 519087, China
School of Economics and Statistics, Guangzhou University, Guangzhou, 510006, China
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Abstract

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.

Keywords

mixture experimentsheteroscedasticityA-optimal designmixture polynomial modelsdirect sum design
CLC number: 62K05, 62K99

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26745-26757
DOI: 10.3934/math.20231369

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Cite this article:
Yan F, Li J, Jiang H, et al. A-Optimal designs for mixture polynomial models with heteroscedastic errors. AIMS Mathematics, 2023, 8(11): 26745-26757. https://doi.org/10.3934/math.20231369

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Received: 19 July 2023
Revised: 23 August 2023
Accepted: 24 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)