کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1148889 1489768 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal design for smooth supersaturated models
ترجمه فارسی عنوان
طراحی مطلوب برای مدل های صاف فوقانی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

Smooth supersaturated models are interpolation models in which the underlying model size, and typically the degree, is higher than would normally be used in statistics, but where the extra degrees of freedom are used to make the model smooth using a standard second derivative measure of smoothness. Here, the solution is derived from a closed-form quadratic programme, leading to tractable matrix representations. This representation aids considerably in the choice of optimal knots in the interpolation case and in the optimal design when the SSM is used as a way of obtaining kernels, but where the statistical problem is set up separately. Some examples are given in one and two dimensions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 154, November 2014, Pages 3–11
نویسندگان
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