Two-sample functional linear models with functional responses

doi:10.1016/j.jspi.2021.10.001

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	Two-sample functional linear models with functional responses
	Xu, Wenchao 1; Lin, Hongmei 2,3,4; Zhang, Riquan 3,4; Liang, Hua 5
	2022-05-01
发表期刊	JOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN	0378-3758
卷号	218 页码:85-105
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.
关键词	Asymptotic normality Functional linear regression Functional response Functional principal component analysis Rate of convergence Semiparametric comparison
DOI	10.1016/j.jspi.2021.10.001
收录类别	SCI
语种	英语
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
WOS类目	Statistics & Probability
WOS记录号	WOS:000718034200001
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59584
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Shanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China 3.East China Normal Univ, MOE, Key Lab Adv Theory & Applicat Stat & Data Sci, Shanghai 200241, Peoples R China 4.East China Normal Univ, Sch Stat, Shanghai 200241, Peoples R China 5.George Washington Univ, Dept Stat, Washington, DC 20052 USA
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.