Optimal multi-criteria designs for Fourier regression models

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	Optimal multi-criteria designs for Fourier regression models
	Shi, P ; Fang, KT ; Tsai, CL
	2001-07-01
发表期刊	JOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN	0378-3758
卷号	96 期号:2 页码:387-401
摘要	Riccomagno, Schwabe and Wynn (RSW) (1997) have given a necessary and sufficient condition for obtaining a complete Fourier regression model with a design based on lattice points that is D-optimal. However, in practice, the number of factors to be considered may be large, or the experimental data may be restricted or not homogeneous. To address these difficulties we extend the results of RSW to obtain a sufficient condition for an incomplete interaction Fourier model design based on lattice points that is D-, A-, E- and G-optimal. We also propose an algorithm for finding such optimal designs that requires fewer design points than those obtained using RSW's generators when the underlying model is a complete interaction model. (C) 2001 Elsevier Science B.V. All rights reserved.
关键词	Fourier regression model lattice point optimal design
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000168880100005
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15956
专题	中国科学院数学与系统科学研究院
作者单位	1.Peking Univ, Peking, Peoples R China 2.Hong Kong Baptist Univ, Hong Kong, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 4.Univ Calif Davis, Grad Sch Management, Davis, CA 95616 USA
推荐引用方式 GB/T 7714	Shi, P,Fang, KT,Tsai, CL. Optimal multi-criteria designs for Fourier regression models[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE,2001,96(2):387-401.
APA	Shi, P,Fang, KT,&Tsai, CL.(2001).Optimal multi-criteria designs for Fourier regression models.JOURNAL OF STATISTICAL PLANNING AND INFERENCE,96(2),387-401.
MLA	Shi, P,et al."Optimal multi-criteria designs for Fourier regression models".JOURNAL OF STATISTICAL PLANNING AND INFERENCE 96.2(2001):387-401.