Admissibility and minimaxity of the uniform design measure in nonparametric regression model

doi:10.1016/s0378-3758(99)00089-0

Details of Research Outputs

Status	已发表Published
Title	Admissibility and minimaxity of the uniform design measure in nonparametric regression model
Creator	Xie, Minyu 1; Fang, Kaitai2
Date Issued	2000
Source Publication	Journal of Statistical Planning and Inference
ISSN	0378-3758
Volume	83 Issue:1 Pages:101-111
Abstract	This paper studies the optimal design problem of a nonparametric regression model. A frame of the decision theory for nonparametric experimental designs is set up. Under this frame, the admissible minimaxity of the uniform design measure π, which has a constant density over the experimental domain, is obtained. Furthermore, we prove that π is the best design among a reasonable subclass of designs. © 2000 Elsevier Science B.V.
Keyword	62K05 62K99 Apporximately linear model Decision theory Nonparametric regression model Optimal design Uniform design Uniform design measure
DOI	10.1016/s0378-3758(99)00089-0
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Statistics & Probability
WOS ID	WOS:000084148800007
Scopus ID	2-s2.0-0000830389
Citation statistics	Cited Times:26[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/2490
Collection	Research outside affiliated institution
Corresponding Author	Xie, Minyu
Affiliation	1.Department of Mathematics, Ctrl. China Norm. Univ., W., Hubei, China 2.Hong Kong Baptist University, Hong Kong, China
Recommended Citation GB/T 7714	Xie, Minyu,Fang, Kaitai. Admissibility and minimaxity of the uniform design measure in nonparametric regression model[J]. Journal of Statistical Planning and Inference, 2000, 83(1): 101-111.
APA	Xie, Minyu, & Fang, Kaitai. (2000). Admissibility and minimaxity of the uniform design measure in nonparametric regression model. Journal of Statistical Planning and Inference, 83(1), 101-111.
MLA	Xie, Minyu,et al."Admissibility and minimaxity of the uniform design measure in nonparametric regression model". Journal of Statistical Planning and Inference 83.1(2000): 101-111.

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