\(M\)-type smoothing spline estimators for principal functions

DOI10.1016/J.CSDA.2013.03.022zbMath1471.62109OpenAlexW2090567594MaRDI QIDQ1800118

Nedret Billor, Hyejin Shin, Seokho Lee

Publication date: 19 October 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2013.03.022

zbMATH Keywords

functional principal component analysisnatural cubic splinesrank-one approximationalternating regressionMM estimation

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Factor analysis and principal components; correspondence analysis (62H25) Functional data analysis (62R10)

Related Items (9)

Robust depth-based estimation of the functional autoregressive model ⋮ Robust functional principal components for sparse longitudinal data ⋮ Robust estimators under a functional common principal components model ⋮ The spatial sign covariance operator: asymptotic results and applications ⋮ M-based simultaneous inference for the mean function of functional data ⋮ Robust simultaneous inference for the mean function of functional data ⋮ Robust functional principal components for irregularly spaced longitudinal data ⋮ Robust functional principal component analysis based on a new regression framework ⋮ Robust deep neural network estimation for multi-dimensional functional data

Uses Software

• fda (R)
• robustbase
• PMA

Cites Work

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• A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis
• Robust functional principal components: a projection-pursuit approach
• High breakdown estimators for principal components: the projection-pursuit approach revis\-ited
• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• Sparse principal component analysis via regularized low rank matrix approximation
• Detecting and handling outlying trajectories in irregularly sampled functional datasets
• Robust forecasting of mortality and fertility rates: a functional data approach
• Robust principal component analysis for functional data. (With comments)
• Trimmed means for functional data
• Smoothed functional principal components analysis by choice of norm
• Functional principal components analysis via penalized rank one approximation
• Functional data analysis.
• Properties of principal component methods for functional and longitudinal data analysis
• Functional outlier detection with robust functional principal component analysis
• Statistical inferences for functional data
• Robust functional estimation using the median and spherical principal components
• Lower Rank Approximation of Matrices by Least Squares with Any Choice of Weights
• Principal component models for sparse functional data
• On Properties of Functional Principal Components Analysis
• Robust Statistics
• Matrix Algebra

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