Functional linear regression via canonical analysis

DOI10.3150/09-BEJ228zbMath1220.62076arXiv1102.5212MaRDI QIDQ637078

Wenjing Yang, Jane-Ling Wang, Guozhong He, Hans-Georg Müller

Publication date: 2 September 2011

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5212

zbMATH Keywords

longitudinal datastochastic processcovariance operatorfunctional data analysisfunctional linear modelcanonical componentsparameter function

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Linear regression; mixed models (62J05) Applications of statistics to biology and medical sciences; meta analysis (62P10) Inference from stochastic processes (62M99)

Related Items

Multivariate functional linear regression and prediction, Stochastic functional linear models and Malliavin calculus, Functional Regression for Densely Observed Data With Novel Regularization, Multivariate Functional Regression Via Nested Reduced-Rank Regularization, Estimation of functional regression model via functional dimension reduction, PCA-based estimation for functional linear regression with functional responses, Estimation in nonparametric functional-on-functional models with surrogate responses, Wasserstein Regression, Non parametric estimations of the conditional density and mode when the regressor and the response are curves, On properties of percentile bootstrap confidence intervals for prediction in functional linear regression, Kernel regression with functional response, Spatial prediction of crystalline defects observed in molecular dynamic simulations of plastic damage, Robust sieve estimators for functional canonical correlation analysis, Estimation and testing for partially functional linear errors-in-variables models, Optimal rate for prediction when predictor and response are functions, Goodness-of-fit Tests for Functional Linear Models Based on Integrated Projections, Canonical correlation analysis for irregularly and sparsely observed functional data, A robust partial least squares approach for function-on-function regression, A partial least squares approach for function-on-function interaction regression, Efficient estimation for varying-coefficient mixed effects models with functional response data, Fast implementation of partial least squares for function-on-function regression, Cross-validation approximation in functional linear regression, Nonlinear mixed-effects scalar-on-function models and variable selection, Two-sample functional linear models with functional responses, A comparison of parameter estimation in function-on-function regression, Robust estimation for a general functional single index model via quantile regression, Penalized function-on-function regression

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional linear regression analysis for longitudinal data
• Canonical correlation for stochastic processes
• Methodology and convergence rates for functional linear regression
• Methods of canonical analysis for functional data.
• Functional canonical analysis for square integrable stochastic processes
• Generalized functional linear models
• The delta method for analytic functions of random operators with application to functional data
• Functional data analysis.
• Estimation in generalized linear models for functional data via penalized likelihood
• Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves
• The general theory of canonical correlation and its relation to functional analysis
• Functional Regression Analysis of Fluorescence Curves
• Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
• Regression Analysis for a Functional Response
• Functional Quasi-Likelihood Regression Models with Smooth Random Effects
• An Analysis of Paediatric CD4 Counts for Acquired Immune Deficiency Syndrome Using Flexible Random Curves
• Functional Data Analysis for Sparse Longitudinal Data
• RELATIONS BETWEEN TWO SETS OF VARIATES