Properties of principal component methods for functional and longitudinal data analysis

DOI10.1214/009053606000000272zbMath1113.62073arXivmath/0608022OpenAlexW3103855587WikidataQ56689324 ScholiaQ56689324MaRDI QIDQ2500460

Jane-Ling Wang, Hans-Georg Müller, Hall, Peter

Publication date: 24 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0608022

zbMATH Keywords

rate of convergence smoothing eigenvalue eigenvector principal component analysis spectral decomposition eigenfunction curse of dimensionality semiparametric optimal convergence rate sparse data operator theory Karhunen-Loève expansion local polynomial methods biomedical studies

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Non-Markovian processes: estimation (62M09)

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