کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1144966 | 957443 | 2010 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A general approach to D-optimal designs for weighted univariate polynomial regression models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the D-optimal design problem for the common weighted univariate polynomial regression model with efficiency function λ. We characterize the efficiency functions for which an explicit solution of the D-optimal design problem is available based on a differential equation for the logarithmic derivative of the efficiency function. In contrast to the common approach which starts with a given efficiency function and derives a differential equation for the supporting polynomial of the D-optimal design, we derive a differential equation for the efficiency function, such that an explicit solution of the D-optimal design problem is possible. The approach is illustrated for various convex design spaces and is depicted in several new examples. Also, this concept incorporates all classical efficiency functions discussed in the literature so far.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Korean Statistical Society - Volume 39, Issue 1, March 2010, Pages 1-26
Journal: Journal of the Korean Statistical Society - Volume 39, Issue 1, March 2010, Pages 1-26
نویسندگان
Holger Dette, Matthias Trampisch,