کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1154468 958389 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orthogonality and D-optimality of the U-type design under general Fourier regression models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Orthogonality and D-optimality of the U-type design under general Fourier regression models
چکیده انگلیسی
Riccomagno et al. [1997. Lattice-based D-optimum design for Fourier regression. Ann. Statist. 25, 2313-2317] gave a comprehensive study on D-optimality under a symmetric Fourier regression model and gave a characterization on orthogonality, complete orthogonality and D-optimality of lattice designs under a symmetrical Fourier model. This paper extends their results to asymmetric Fourier regression models. We give some necessary condition for the orthogonality and complete orthogonality of U-type designs under general Fourier regression models that involve symmetrical and asymmetrical Fourier models and prove that a U-type design, which is completely orthogonal, is not D-optimal for an asymmetrical Fourier model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 77, Issue 12, 1 July 2007, Pages 1377-1384
نویسندگان
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