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

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

科研成果详情

发表状态	已发表Published
题名	Admissibility and minimaxity of the uniform design measure in nonparametric regression model
作者	Xie, Minyu 1; Fang, Kaitai2
发表日期	2000
发表期刊	Journal of Statistical Planning and Inference
ISSN/eISSN	0378-3758
卷号	83 期号:1 页码:101-111
摘要	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.
关键词	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	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000084148800007
Scopus入藏号	2-s2.0-0000830389
引用统计	被引频次：26[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2490
专题	个人在本单位外知识产出
通讯作者	Xie, Minyu
作者单位	1.Department of Mathematics, Ctrl. China Norm. Univ., W., Hubei, China 2.Hong Kong Baptist University, Hong Kong, China
推荐引用方式 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.