Additive Functional Regression for Densities as Responses

DOI10.1080/01621459.2019.1604365zbMath1445.62335OpenAlexW2939708991WikidataQ128011180 ScholiaQ128011180MaRDI QIDQ5130639

Kyunghee Han, Byeong U. Park, Hans-Georg Müller

Publication date: 28 October 2020

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01621459.2019.1604365

zbMATH Keywords

additive modelsfunctional data analysissmooth backfittingrandom densities

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Functional data analysis (62R10)

Related Items

Hilbertian additive regression with parametric help, Local linear smoothing in additive models as data projection, Wavelet Estimation for Regression Convolution Model with Heteroscedastic Errors, Testing linear operator constraints in functional response regression with incomplete response functions, Nonparametric Estimation of Repeated Densities with Heterogeneous Sample Sizes, Additive regression for predictors of various natures and possibly incomplete Hilbertian responses, Additive regression for non-Euclidean responses and predictors

Uses Software

• fda (R)

Cites Work

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• The existence and asymptotic properties of a backfitting projection algorithm under weak conditions
• Flexible generalized varying coefficient regression models
• Fréchet regression for random objects with Euclidean predictors
• Amplitude and phase variation of point processes
• Dimensionality reduction when data are density functions
• Geodesic PCA in the Wasserstein space by convex PCA
• Backfitting and smooth backfitting for additive quantile models
• A simple smooth backfitting method for additive models
• Functional density synchronization
• Kernel and nearest-neighbor estimation of a conditional quantile
• Functional \(k\)-sample problem when data are density functions
• On improving density estimators which are not bona fide functions
• Compositional regression with functional response
• A Class-Kriging predictor for functional compositions with application to particle-size curves in heterogeneous aquifers
• Smooth backfitting for additive modeling with small errors-in-variables, with an application to additive functional regression for multiple predictor functions
• Smooth backfitting in generalized additive models
• Functional data analysis.
• Hilbert space of probability density functions based on Aitchison geometry
• Time-Varying Additive Models for Longitudinal Data
• Quantile smoothing splines
• Inference for Density Families Using Functional Principal Component Analysis
• Order-Preserving Nonparametric Regression, With Applications to Conditional Distribution and Quantile Function Estimation
• Methods for Estimating a Conditional Distribution Function
• Functional Additive Models
• Bayesian Density Regression
• Nonparametric Estimation of the Transition Distribution Function of a Markov Process
• Functional data analysis for density functions by transformation to a Hilbert space