کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1150288 | 957921 | 2006 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Maximin efficient design of experiment for exponential regression models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
In this paper robust and efficient designs are derived for several exponential decay models. These models are widely used in chemistry, pharmacokinetics or microbiology. We propose a maximin approach, which determines the optimal design such that a minimum of the D-efficiencies (taken over a certain range) becomes maximal. Analytic solutions are derived if optimization is performed in the class of minimal supported designs. In general the optimal designs with respect to the maximin criterion have to be determined numerically and some properties of these designs are also studied. We also illustrate the benefits of our approach by reanalysing a data example from the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 12, 1 December 2006, Pages 4397–4418
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 12, 1 December 2006, Pages 4397–4418
نویسندگان
Holger Dette, Ignacio Martinez Lopez, Isabel M. Ortiz Rodriguez, Andrey Pepelyshev,