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Functional singular component analysis based functional additive models

文献类型：期刊论文

作者Zhang Tao1; Wang QiHua2,3
刊名SCIENCE CHINA-MATHEMATICS
出版日期2016-12-01
卷号59期号:12页码:2443-2462
关键词functional data functional additive models functional singular component analysis
ISSN号1674-7283
DOI10.1007/s11425-015-0812-4
英文摘要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.
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
语种英语
WOS记录号WOS:000389916800010
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24360]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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