Optimum Designs for Estimation of Parameters in a Quadratic Mixture-Amount Model

被引：4

作者：

Pal, Manisha ^{[1
]}

Mandal, Nripes Kumar ^{[1
]}

机构：

[1] Univ Calcutta, Dept Stat, Kolkata 700019, W Bengal, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2012年 / 41卷 / 04期

关键词：

A- and D-optimal designs; Equivalence theorem; Mixture experiment; Parameter estimation; Quadratic mixture-amount model; SIMPLEX-DESIGNS;

D O I：

10.1080/03610926.2010.529538

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：

The authors propose a mixture-amount model, which is quadratic both in the proportions of mixing components and the amount of mixture. They attempt to find the A- and D-optimal designs for the estimation of the model parameters within a subclass of designs. The optimality of the derived designs in the entire class of competing designs has been investigated through equivalence theorem.

引用

页码：665 / 673

页数：9

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