A note on -optimal designs for multiresponse models

被引：0

作者：

Liu, Xin ^{[1
]}

Yue, Rong-Xian ^{[2
,3
,4
]}

机构：

[1] Donghua Univ, Coll Sci, Shanghai 201600, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Shanghai Univ, Sci Comp Key Lab, Shanghai 200234, Peoples R China

[4] Shanghai Univ, Div Sci Computat, E Inst, Shanghai 200234, Peoples R China

来源：

METRIKA | 2013年 / 76卷 / 04期

关键词：

R-optimality; Multiresponse models; General equivalence theorem; CRITERIA;

D O I：

10.1007/s00184-012-0400-1

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 considers the optimal design problem for multiresponse regression models. The -optimality introduced by Dette (J R Stat Soc B 59:97-110, 1997) for single response experiments is extended to the case of multiresponse parameter estimation. A general equivalence theorem for the -optimality is provided for multiresponse models. Illustrative examples of the -optimal designs for two multiresponse models are presented based on the general equivalence theorem.

引用

页码：483 / 493

页数：11

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