Additive regression with Hilbertian responses

DOI10.1214/19-AOS1902zbMath1471.62328MaRDI QIDQ2215755

Byeong U. Park, Jeong Min Jeon

Publication date: 14 December 2020

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aos/1600480928

zbMATH Keywords

additive modelsHilbert spacesBochner integralsmooth backfittinginfinite-dimensional spacesfunctional responsesnon-Euclidean data

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)

Related Items (9)

Bias reduction by projection on parametric models in Hilbertian nonparametric regression ⋮ Locally polynomial Hilbertian additive regression ⋮ Hilbertian additive regression with parametric help ⋮ Local linear smoothing in additive models as data projection ⋮ Wavelet Estimation for Regression Convolution Model with Heteroscedastic Errors ⋮ Functional Additive Models on Manifolds of Planar Shapes and Forms ⋮ A review of compositional data analysis and recent advances ⋮ Additive regression for predictors of various natures and possibly incomplete Hilbertian responses ⋮ Additive regression for non-Euclidean responses and predictors

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