A reproducing kernel Hilbert space approach to functional linear regression

DOI10.1214/09-AOS772zbMath1204.62074arXiv1211.2607OpenAlexW2059173978MaRDI QIDQ620554

Ming Yuan, T. Tony Cai

Publication date: 19 January 2011

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2607

zbMATH Keywords

minimaxSobolev spaceeigenvalueprincipal component analysiseigenfunctioncovariancereproducing kernel Hilbert spaceoptimal convergence ratefunctional linear regressionsimultaneous diagonalizationSacks-Ylvisaker conditionsslope function

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Asymptotic properties of nonparametric inference (62G20) Linear regression; mixed models (62J05) Applications of functional analysis in probability theory and statistics (46N30)

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Uses Software

• fda (R)

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