Two-sample functional linear models with functional responses

doi:10.1016/j.jspi.2021.10.001

	Two-sample functional linear models with functional responses
	Xu, Wenchao 3; Lin, Hongmei 1,4,5; Zhang, Riquan 1,5; Liang, Hua 2
刊名	JOURNAL OF STATISTICAL PLANNING AND INFERENCE
	2022-05-01
卷号	218 页码:85-105
关键词	Asymptotic normality Functional linear regression Functional response Functional principal component analysis Rate of convergence Semiparametric comparison
ISSN号	0378-3758
DOI	10.1016/j.jspi.2021.10.001
英文摘要	This paper studies two-sample functional linear regressions with functional responses, where the regression functions are assumed to have a scaling transformation. We estimate the intercept function, slope function, and parameter components based on the least squares method and functional principal component analysis. The proposed estimators of the parameter components are shown to be consistent and asymptotically normal. We also establish a rate of convergence for the estimator of the slope function. In addition, we propose asymptotically more efficient estimators for the parameter components. The numerical performance of the proposed methods is evaluated via simulation studies and an analysis of an AIDS data set. (C) 2021 Elsevier B.V. All rights reserved.
资助项目	China Postdoctoral Science Foundation[2021M693340] ; National Natural Science Foundation of China[11971171] ; National Natural Science Foundation of China[11901286] ; National Natural Science Foundation of China[12101591] ; Shanghai Natural Science Foundation, China[20ZR1421800] ; Open Research Fund of Key Laboratory of Advanced Theory and Application in Statistics and Data Science (East China Normal University) ; 111 Project[B14019]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000718034200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59583]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Riquan
作者单位	1.East China Normal Univ, Sch Stat, Shanghai 200241, Peoples R China 2.George Washington Univ, Dept Stat, Washington, DC 20052 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Shanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China 5.East China Normal Univ, MOE, Key Lab Adv Theory & Applicat Stat & Data Sci, Shanghai 200241, Peoples R China
推荐引用方式 GB/T 7714	Xu, Wenchao,Lin, Hongmei,Zhang, Riquan,et al. Two-sample functional linear models with functional responses[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE,2022,218:85-105.
APA	Xu, Wenchao,Lin, Hongmei,Zhang, Riquan,&Liang, Hua.(2022).Two-sample functional linear models with functional responses.JOURNAL OF STATISTICAL PLANNING AND INFERENCE,218,85-105.
MLA	Xu, Wenchao,et al."Two-sample functional linear models with functional responses".JOURNAL OF STATISTICAL PLANNING AND INFERENCE 218(2022):85-105.