中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 应用数学研究所
Function-on-function quadratic regression models

文献类型：期刊论文

作者Sun, Yifan2; Wang, Qihua1,2
刊名COMPUTATIONAL STATISTICS & DATA ANALYSIS
出版日期2020-02-01
卷号142页码:14
关键词Functional data analysis Quadratic regression Functional principal component analysis Test of significance Asymptotics
ISSN号0167-9473
DOI10.1016/j.csda.2019.106814
英文摘要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.
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
语种英语
WOS记录号WOS:000493217100005
出版者ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50666]  
专题应用数学研究所
通讯作者Wang, Qihua
作者单位1.Zhejiang Gongshang Univ, Sch Stat & Math, Hangzhou 310018, Zhejiang, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。