Penalized spline estimation of principal components for sparse functional data: Rates of convergence-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Penalized spline estimation of principal components for sparse functional data: Rates of convergence

Published:2024-11-01 Issue:4 Volume:30 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

He Shiyuan¹,Huang Jianhua Z.²,He Kejun³

Affiliation:

1. School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, China

2. School of Data Science, The Chinese University of Hong Kong, Shenzhen (CUHK-Shenzhen), Shenzhen, China

3. Center for Applied Statistics, Institute of Statistics and Big Data, Renmin University of China, Beijing, China

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Reference50 articles.

1. Stone, C.J. (1982). Optimal global rates of convergence for nonparametric regression. Ann. Statist. 10 1040–1053.

2. Bhatia, R. (2007). Positive Definite Matrices. Princeton Series in Applied Mathematics. Princeton, NJ: Princeton Univ. Press.

3. Edelman, A., Arias, T.A. and Smith, S.T. (1999). The geometry of algorithms with orthogonality constraints. SIAM J. Matrix Anal. Appl. 20 303–353. 10.1137/S0895479895290954

4. Hsing, T. and Eubank, R. (2015). Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators. Wiley Series in Probability and Statistics. Chichester: Wiley. 10.1002/9781118762547

5. Yao, F., Müller, H.-G. and Wang, J.-L. (2005). Functional linear regression analysis for longitudinal data. Ann. Statist. 33 2873–2903. 10.1214/009053605000000660

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP