Convergence rate of principal component analysis with local-linear smoother for functional data under a unified weighing scheme

DOI10.1080/24754269.2019.1656048OpenAlexW2969526987MaRDI QIDQ5880026

Xiaolei Xun, Yingchun Zhou, Xing-Yu Yan, Xiao-Long Pu

Publication date: 7 March 2023

Published in: Statistical Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/24754269.2019.1656048

zbMATH Keywords

asymptotic propertiesfunctional principal componentslocal-linear smoothingweighing scheme

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (4)

Partially linear single-index model in the presence of measurement error ⋮ Surface functional models ⋮ Functional multiple-outcome model in application to multivariate growth curves of infant data ⋮ Two-sample functional linear models with functional responses

Uses Software

• fda (R)

Cites Work

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• Efficient Estimation of the Nonparametric Mean and Covariance Functions for Longitudinal and Sparse Functional Data
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• Nonparametric Regression Analysis of Longitudinal Data
• Selecting the Number of Principal Components in Functional Data
• Penalized Spline Models for Functional Principal Component Analysis
• On Properties of Functional Principal Components Analysis
• Functional Data Analysis for Sparse Longitudinal Data

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