Projection estimation in multiple regression with application to functional ANOVA models
type: Item
instance of: scholarly article
title: Projection estimation in multiple regression with application to functional ANOVA models
zbMATH Open document ID: 0930.62042
author: Jianhua Z. Huang
published in: The Annals of Statistics
publication date: 1999-11-09T00:00:00Z
Mathematics Subject Classification ID: 62G08
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62J10
zbMATH DE Number: 1359515
zbMATH Keywords: finite elements
zbMATH Keywords: interaction
zbMATH Keywords: polynomials
zbMATH Keywords: splines
zbMATH Keywords: tensor product
zbMATH Keywords: trigonometric polynomials
zbMATH Keywords: wavelets
zbMATH Keywords: rates of convergence
zbMATH Keywords: ANOVA
zbMATH Keywords: least-squares
zbMATH Keywords: curse of dimensionality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1030563984
OpenAlex ID: W2076051662
cites work: Fitting additive models to regression data. Diagnostics and alternative views
cites work: Interaction spline models and their convergence rates
cites work: Q4205895
cites work: Q4279331
cites work: A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
cites work: A practical guide to splines
cites work: Q4273944
cites work: Interpolation of Besov Spaces
cites work: Minimax estimation via wavelet shrinkage
cites work: Multivariate adaptive regression splines
cites work: Flexible Parsimonious Smoothing and Additive Modeling
cites work: Q3998409
cites work: Probability Inequalities for Sums of Bounded Random Variables
cites work: The L2 Rate of Convergence for Event History Regression with Time‐dependent Covariates
cites work: Functional ANOVA modeling for proportional hazards regression.
cites work: Polychotomous Regression
cites work: Q4856014
cites work: Q3960078
cites work: Q4840194
cites work: Q4001821
cites work: Q3895980
cites work: Optimal global rates of convergence for nonparametric regression
cites work: Additive regression and other nonparametric models
cites work: The use of polynomial splines and their tensor products in multivariate function estimation. (With discussion)
cites work: Polynomial splines and their tensor products in extended linear modeling. (With discussions)
cites work: Tensor Analysis of ANOVA Decomposition
cites work: Q5727762
cites work: Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy. (The 1994 Neyman Memorial Lecture)
DOI: 10.1214/AOS/1030563984
description: scientific article; zbMATH DE number 1359515