Optimum designs for estimation of optimum point under cost constraint

被引：8
|
作者：
Pal, Manisha [1 ]
Mandal, Nripes K. [1 ]
机构：
[1] Univ Calcutta, Dept Stat, Kolkata 700073, W Bengal, India
来源：
JOURNAL OF APPLIED STATISTICS | 2009年 / 36卷 / 09期
关键词：
response surface model; second-order models; mixture experiments; weighted centroid designs; trace criterion; MAXIMIN EFFICIENT DESIGNS; QUADRATIC-REGRESSION; MIXTURE-MODELS;
D O I：
10.1080/02664760802582264
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：
In this paper, we consider the estimation of the optimum factor combination in a response surface model. Assuming that the response function is quadratic concave and there is a linear cost constraint on the factor combination, we attempt to find the optimum design using the trace optimality criterion. As the criterion function involves the unknown parameters, we adopt a pseudo-Bayesian approach to resolve the problem.
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页码：999 / 1008
页数：10
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