Locally polynomial Hilbertian additive regression

DOI10.3150/21-BEJ1410OpenAlexW4224322690MaRDI QIDQ2137056

Jeong Min Jeon, Enno Mammen, Young Kyung Lee, Byeong U. Park

Publication date: 16 May 2022

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/bernoulli/volume-28/issue-3/Locally-polynomial-Hilbertian-additive-regression/10.3150/21-BEJ1410.full

zbMATH Keywords

Hilbert spaceadditive modelsmooth backfittinglocal polynomial smoothingnon-Euclidean data

Mathematics Subject Classification ID

Applications of statistics (62Pxx) Multivariate analysis (62Hxx) Nonparametric inference (62Gxx)

Related Items

Hilbertian additive regression with parametric help, Functional Additive Models on Manifolds of Planar Shapes and Forms

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Simplicial principal component analysis for density functions in Bayes spaces
• The existence and asymptotic properties of a backfitting projection algorithm under weak conditions
• Flexible generalized varying coefficient regression models
• Smooth backfitting in additive inverse regression
• Linear smoothers and additive models
• Backfitting and smooth backfitting for additive quantile models
• New perspectives on water chemistry and compositional data analysis
• Linear processes in function spaces. Theory and applications
• Applied functional data analysis. Methods and case studies
• Compositional regression with functional response
• Smooth backfitting for errors-in-variables additive models
• Convergence of functional \(k\)-nearest neighbor regression estimate with functional responses
• Kernel regression with functional response
• Additive regression with Hilbertian responses
• Rejoinder on ``Compositional data: the sample space and its structure
• Estimation of a semiparametric transformation model
• Smooth backfitting in generalized additive models
• Time-Varying Additive Models for Longitudinal Data
• Smooth Backfitting in Practice
• A kernel method of estimating structured nonparametric regression based on marginal integration
• Wasserstein covariance for multiple random densities
• Backfitting tests in generalized structured models
• Measure Theory
• Functional data analysis for density functions by transformation to a Hilbert space