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Normal approximation in regression

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Publication:1182748
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DOI10.1016/0047-259X(91)90007-OzbMath0748.62010MaRDI QIDQ1182748

A. H. Welsh, Hall, Peter

Publication date: 28 June 1992

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


zbMATH Keywords

rate of convergencenonparametric regressionnormal approximationfunction estimationalgebraic moment condition on the errorsgeneral multivariate explanatory variablesNadaraya-Watson kernel estimatoruniform strong approximation


Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Strong limit theorems (60F15)




Cites Work

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  • An approximation of partial sums of independent RV's, and the sample DF. II
  • An approximation of partial sums of independent RV'-s, and the sample DF. I
  • The approximation of partial sums of independent RV's
  • On a Gaussian process related to multivariate probability density estimation
  • Probability Inequalities for Sums of Bounded Random Variables
  • Joint Asymptotic Distribution of the Estimated Regression Function at a Finite Number of Distinct Points


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