Function-on-function quadratic regression models

doi:10.1016/j.csda.2019.106814

CSpace > 应用数学研究所

	Function-on-function quadratic regression models
	Sun, Yifan 1; Wang, Qihua1,2
	2020-02-01
发表期刊	COMPUTATIONAL STATISTICS & DATA ANALYSIS
ISSN	0167-9473
卷号	142 页码:14
摘要	A quadratic regression model where the covariate and the response are both functional is considered, which is a reasonable extension of common function-on-function linear regression models. Methods to estimate the coefficient functions, predict unknown response and test significance of the quadratic term are developed in functional principal component regression paradigm. Asymptotic theories for these approaches are also established. A simulation study is presented to demonstrate the finite sample performances of the proposed methods and an application to real data is used to illustrate the improvement that can be gained by comparing to the function-on-function linear models. (C) 2019 Elsevier B.V. All rights reserved.
关键词	Functional data analysis Quadratic regression Functional principal component analysis Test of significance Asymptotics
DOI	10.1016/j.csda.2019.106814
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11871460] ; National Natural Science Foundation of China[11331011] ; National Natural Science Foundation of China[61621003] ; Key Lab of Random Complex Structure and Data Science, CAS, China
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Statistics & Probability
WOS记录号	WOS:000493217100005
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/50667
专题	应用数学研究所
通讯作者	Wang, Qihua
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Zhejiang Gongshang Univ, Sch Stat & Math, Hangzhou 310018, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Sun, Yifan,Wang, Qihua. Function-on-function quadratic regression models[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS,2020,142:14.
APA	Sun, Yifan,&Wang, Qihua.(2020).Function-on-function quadratic regression models.COMPUTATIONAL STATISTICS & DATA ANALYSIS,142,14.
MLA	Sun, Yifan,et al."Function-on-function quadratic regression models".COMPUTATIONAL STATISTICS & DATA ANALYSIS 142(2020):14.