Simultaneous non-parametric regressions of unbalanced longitudinal data

DOI10.1016/S0167-9473(96)00067-9zbMath0900.62199MaRDI QIDQ1391798

Hervé Cardot, Philippe Besse, Frédéric Ferraty

Publication date: 23 July 1998

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

zbMATH Keywords

B-splinesNon-parametric regressionFunctional principal component analysisHybrid splinesRainfall data

Mathematics Subject Classification ID

Density estimation (62G07) Probabilistic methods, stochastic differential equations (65C99)

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Recursive estimation of nonparametric regression with functional covariate, Fast covariance estimation for high-dimensional functional data, Unnamed Item, Statistical inferences for functional data, Parametric Functional Principal Component Analysis, Principal components analysis for sparsely observed correlated functional data using a kernel smoothing approach, The functional nonparametric model and applications to spectrometric data, Comparative analysis for robust penalized spline smoothing methods, Robust nonparametric estimation for functional data, Penalized PCA approaches for B-spline expansions of smooth functional data, Joint estimation of monotone curves via functional principal component analysis, Variational Bayesian functional PCA, No effect and lack-of-fit permutation tests for functional regression, Empirical likelihood inference in mixture of semiparametric varying-coefficient models for longitudinal data with non-ignorable dropout, Clustering of functional data in a low-dimensional subspace, Functional multi-layer perceptron: A nonlinear tool for functional data analysis, Conditional Functional Principal Components Analysis, Functional linear regression analysis for longitudinal data, Fast covariance estimation for sparse functional data, Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves, Varying-Coefficient Functional Linear Regression Models, Nonparametric estimation of smoothed principal components analysis of sampled noisy functions, Semi-parametric classification of noisy curves, Kernel Conditional Density Estimation When the Regressor is Valued in a Semi-Metric Space, Spatially adaptive splines for statistical linear inverse problems

Uses Software

• R

Cites Work

• Some properties of smoothed principal components analysis for functional data
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• PCA stability and choice of dimensionality
• A practical guide to splines
• Growth curves: A two-stage nonparametric approach
• Nonparametric estimation of common regressors for similar curve data
• Smoothed functional principal components analysis by choice of norm
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