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

共 50 条

[1] Optimum Designs for Estimation of Optimum Amount and Proportions in a Mixture-Amount Model
Mandal, Nripes Kumar
Pal, Manisha
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (11) : 1989 - 1999
[2] DESIGNS FOR MIXTURE-AMOUNT EXPERIMENTS
PIEPEL, GF
CORNELL, JA
JOURNAL OF QUALITY TECHNOLOGY, 1987, 19 (01) : 11 - 28
[3] Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
Tian, Guoliang
Fang, Kaitai
Science in China, Series A: Mathematics, Physics, Astronomy, 1999, 42 (05): : 456 - 470
[4] Optimal Designs for Estimation of Optimum Mixtures and Optimum Amount in a Multiresponse Mixture Experiment
Pal, Manisha
Mandal, Nripes K.
THAILAND STATISTICIAN, 2013, 11 (02): : 143 - 158
[5] Optimum tolerance design using component-amount and mixture-amount experiments
Özler, C. (cenk.ozler@deu.edu.tr), 1600, Springer London (68): : 9 - 12
[6] Optimal designs for an additive quadratic mixture model involving the amount of mixture
Zhang, CQ
Chan, LY
Guan, YN
Li, KH
Lau, TS
STATISTICA SINICA, 2005, 15 (01) : 165 - 176
[7] Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
田国梁
方开泰
Science China Mathematics, 1999, (05) : 456 - 470
[8] Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
Tian, GL
Fang, KT
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1999, 42 (05): : 456 - 470
[9] Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
Guoliang Tian
Kaitai Fang
Science in China Series A: Mathematics, 1999, 42 : 456 - 470
[10] Optimum tolerance design using component-amount and mixture-amount experiments
Piepel, Greg F.
Ozler, Cenk
Sehirlioglu, Ali Kemal
INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2013, 68 (9-12): : 2359 - 2369

← 1 2 3 4 5 →