A nonparametric least-squares test for checking a polynomial relationship

DOI10.1016/S0167-7152(00)00152-8zbMath0965.62038OpenAlexW1987084356MaRDI QIDQ5934107

Irène Gijbels, Valentin Rousson

Publication date: 31 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00152-8

zbMATH Keywords

local polynomial fittingderivative estimationgoodness-of-fitleast-squares testsmodel checkingparametric polynomial regression

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10)

Related Items

Inference of the derivative of nonparametric curve based on confidence distribution, An updated review of goodness-of-fit tests for regression models, Two tests for heterocedasticity in nonparametric regression, Finding local departures from a parametric model using nonparametric regression, A note on the nonparametric least-squares test for checking a polynomial relationship, Analysis of variance, coefficient of determination and \(F\)-test for local polynomial regression

Cites Work

• Unnamed Item
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• Robust reconstruction of functions by the local-approximation method
• Testing goodness-of-fit in regression via order selection criteria
• Comparing nonparametric versus parametric regression fits
• Nonparametric model checks for regression
• NN goodness-of-fit tests for linear models
• Goodness-of-fit test for linear models based on local polynomials
• Residual variance and residual pattern in nonlinear regression
• Bootstrap Approximations in Model Checks for Regression
• Local Polynomial Estimation of Regression Functions for Mixing Processes
• Local Polynomial Kernel Regression for Generalized Linear Models and Quasi-Likelihood Functions