Construction of weighted efficiency optimal designs for experiments with mixtures

被引：0

作者：

Li, Junpeng ^{[1
,2
]}

Li, Guanghui ^{[3
]}

Leng, Wei ^{[4
,5
]}

Zhang, Chongqi ^{[2
]}

Su, Hongyu ^{[6
]}

机构：

[1] Kaili Univ, Sch Sci, Kaili 556011, Peoples R China

[2] Guangzhou Univ, Sch Econ & Stat, Guangzhou 510006, Peoples R China

[3] Kaili Univ, Sch Microelect & Artificial Intelligence, Kaili 556011, Peoples R China

[4] Sichuan Univ Sci & Engn, Coll Math & Stat, Yibin 644000, Peoples R China

[5] Sichuan Prov Univ Key Lab Bridge Nondestruct Detec, Zigong 643000, Peoples R China

[6] South China Normal Univ, Sch Math Sci, Guangzhou 510006, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2025年 / 216卷

关键词：

Mixture experiments; Efficiency; Optimal design; MODEL DISCRIMINATION;

D O I：

10.1016/j.spl.2024.110255

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：

This paper presents a weighted efficiency optimality criterion to obtain a compound optimal design that balances two different optimality objectives. An equivalence theorem and a search algorithm for a concave-concave combination of criteria for finding the weighted efficiency optimal design are given and applied to the Scheff & eacute; mixture model.

引用

页数：6

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