Functional singular component analysis based functional additive models

doi:10.1007/s11425-015-0812-4

CSpace > 应用数学研究所

	Functional singular component analysis based functional additive models
	Zhang Tao 1; Wang QiHua2,3
	2016-12-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	59 期号:12 页码:2443-2462
摘要	We propose a method which uses functional singular component to establish functional additive models. The proposed methodology reduces the curve regression problem to ordinary (i.e., scalar) additive regression problems of the singular components of the predictor process and response process. Consistency of estimators for the nonparametric function and prediction are proved, respectively. A simulation study is conducted to investigate the finite sample performances of the proposed estimators.
关键词	functional data functional additive models functional singular component analysis
DOI	10.1007/s11425-015-0812-4
语种	英语
资助项目	National Natural Science Foundation of China[11171331] ; National Natural Science Foundation of China[11561006] ; National Natural Science Foundation of China[11331011] ; Program for Creative Research Group of National Natural Science Foundation of China[61621003] ; Key Lab of Random Complex Structure and Data Science, Chinese Academy of Sciences ; Natural Science Foundation of Shenzhen University ; Research Projects of Colleges and Universities in Guangxi[KY2015YB171] ; Innovation Project of Guangxi Graduate Education[JGY2015122] ; Key Base of Humanities and Social Sciences in Guangxi College
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000389916800010
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24361
专题	应用数学研究所
通讯作者	Wang QiHua
作者单位	1.Guangxi Univ Sci & Technol, Sch Sci, Liuzhou 545006, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Shenzhen Univ, Inst Stat Sci, Shenzhen 518060, Peoples R China
推荐引用方式 GB/T 7714	Zhang Tao,Wang QiHua. Functional singular component analysis based functional additive models[J]. SCIENCE CHINA-MATHEMATICS,2016,59(12):2443-2462.
APA	Zhang Tao,&Wang QiHua.(2016).Functional singular component analysis based functional additive models.SCIENCE CHINA-MATHEMATICS,59(12),2443-2462.
MLA	Zhang Tao,et al."Functional singular component analysis based functional additive models".SCIENCE CHINA-MATHEMATICS 59.12(2016):2443-2462.