Asymptotics for polynomial spline regression under weak conditions.

DOI10.1016/j.spl.2003.09.003zbMath1048.62043OpenAlexW2074263443MaRDI QIDQ1423078

Jianhua Z. Huang

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2003.09.003

zbMATH Keywords

projectionLeast-squaresGeneralized additive modelsFunctional ANOVA models

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Analysis of variance and covariance (ANOVA) (62J10)

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Penalized spline estimation in the partially linear model, Polynomial spline estimation for partial functional linear regression models, Dynamic Penalized Splines for Streaming Data, Spline nonparametric quasi-likelihood regression within the frame of the accelerated failure time model, Large-sample estimation and inference in multivariate single-index models, Parameter estimation of ODE's via nonparametric estimators, Gaussian approximation of suprema of empirical processes, Some new asymptotic theory for least squares series: pointwise and uniform results, Optimal uniform convergence rates and asymptotic normality for series estimators under weak dependence and weak conditions, Asymptotic properties of penalized spline estimators in concave extended linear models: rates of convergence, Penalized polygram regression

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