Accession Number : ADA133260

Title :   A Law of the Iterated Logarithm for Non-Parametric Regression Function Estimators.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Hardle,Wolfgang

PDF Url : ADA133260

Report Date : May 1983

Pagination or Media Count : 19

Abstract : 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)

Descriptors :   *Nonparametric statistics, Logarithm functions, Regression analysis, Estimates, Theorems

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE