کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1148821 957852 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An algorithm for calculating D-optimal designs for polynomial regression through a fixed point
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An algorithm for calculating D-optimal designs for polynomial regression through a fixed point
چکیده انگلیسی
Optimal designs are required to make efficient statistical experiments. By using canonical moments, in 1980, Studden found Ds-optimal designs for polynomial regression models. On the other hand, integrable systems are dynamical systems whose solutions can be written down concretely. In this paper, polynomial regression models through a fixed point are discussed. In order to calculate D-optimal designs for these models, a useful relationship between canonical moments and discrete integrable systems is introduced. By using canonical moments and discrete integrable systems, a new algorithm for calculating D-optimal designs for these models is proposed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 142, Issue 4, April 2012, Pages 935-943
نویسندگان
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