DTIC ADA133260: A Law of the Iterated pdf

DTIC ADA133260: A Law of the Iterated

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We prove a law of the iterated logarithm for nonparametric regression function estimators using strong approximations to the two dimensional empirical process. We consider the case of Nadaraya-Watson kernel estimators and of estimators based on orthogonal polynomials when the marginal density of the design variable X is unknown or known. (Author

• Creator/s: Defense Technical Information Center
• Date: 5/1/1983
• Year: 1983
• Book Topics/Themes: DTIC Archive, Hardle, Wolfgang, NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS, *Nonparametric statistics, Logarithm functions, Regression analysis, Estimates, Theorems

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