Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2007; 44(4): 835-844

Printed July 1, 2007

Copyright © The Korean Mathematical Society.

LIL for kernel estimator of error distribution in regression model

Si-Li Niu

Tongji University

Abstract

This paper considers the problem of estimating the error distribution function in nonparametric regression models. Sufficient conditions are given under which the kernel estimator of the error distribution function based on nonparametric residuals satisfies the law of iterated logarithm.

Keywords: law of iterated logarithm, kernel estimation, nonparametric residuals, empirical process

MSC numbers: Primary 62G07; Secondary 62F12