Polynomial splines and nonparametric regression

DOI10.1080/10485259108832516zbMath1263.62050OpenAlexW2026983160MaRDI QIDQ3432300

Hung Cheng

Publication date: 16 April 2007

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259108832516

zbMATH Keywords

nonparametric regressionPolynomial splines

Mathematics Subject Classification ID

Nonparametric estimation (62G05)

Related Items (11)

Variable selection in quantile varying coefficient models with longitudinal data ⋮ Polynomial spline estimation for partial functional linear regression models ⋮ VARIABLE SELECTION FOR PARTIALLY LINEAR VARYING COEFFICIENT QUANTILE REGRESSION MODEL ⋮ Varying coefficient partially functional linear regression models ⋮ Varying-coefficient partially functional linear quantile regression models ⋮ Conditional growth charts. (With discussion and rejoinder) ⋮ Frequentist model averaging estimation for the censored partial linear quantile regression model ⋮ Spline estimators for semi-functional linear model ⋮ Asymptotics for polynomial spline regression under weak conditions. ⋮ Robust dimension reduction based on canonical correlation ⋮ Quantile regression with varying coefficients

Cites Work

• On density estimation in the view of Kolmogorov's ideas in approximation theory
• Asymptotic integrated mean square error using least squares and bias minimizing splines
• Additive regression and other nonparametric models
• A practical guide to splines
• Spectral bounds for \(\| A^{-1}\| _{\infty}\)
• Optimal global rates of convergence for nonparametric regression
• Multivariate Smoothing Spline Functions
• Probability Inequalities for Sums of Bounded Random Variables
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