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.
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页数：6
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