Quadratic deviation of penalized mean squares regression estimates

DOI10.1016/0047-259X(92)90059-OzbMath0799.62041MaRDI QIDQ1186775

Paul Doukhan, Elisabeth Gassiat

Publication date: 28 June 1992

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

quadratic functionalscentral limit theorempenalty functionalspline estimategoodness of fit testing

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur le choix du paramètre d'ajustement dans le lissage par fonctions spline
• Central limit theorem for integrated square error of multivariate nonparametric density estimators
• Spline smoothing: The equivalent variable kernel method
• Asymptotics for M-type smoothing splines
• Spline smoothing and optimal rates of convergence in nonparametric regression models
• A central limit theorem for generalized quadratic forms
• Periodic splines and spectral estimation
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Some results on Tchebycheffian spline functions and stochastic processes
• [https://portal.mardi4nfdi.de/wiki/Publication:3048064 Estimation des densit�s: risque minimax]
• Testing the Goodness of Fit of a Linear Model Via Nonparametric Regression Techniques
• Multivariate Smoothing Spline Functions
• Smoothing noisy data with spline functions

This page was built for publication: Quadratic deviation of penalized mean squares regression estimates