Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence

Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence

Abstract In this paper, the authors investigate the Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD random variable sequence. The rate of the normal approximation is shown as O ( n − 1 / 6 ) $O(n^{-1/6})$ under some ap...

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Bibliographic Details
Main Authors: Liwang Ding, Ping Chen, Yongming Li
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Journal of Inequalities and Applications
Subjects:
weighted kernel estimator
LNQD sequence
Berry-Esseen bound
linear process
Online Access:http://link.springer.com/article/10.1186/s13660-017-1604-8

Internet

http://link.springer.com/article/10.1186/s13660-017-1604-8

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