Document Type
Article
Publication Title
Mathematics
Publication Date
2024
Keywords
Lp-norm, LIL, kernel estimator, empirical CDF
Abstract
In this paper, we consider the strong convergence of Lp-norms (p ≥ 1) of a kernel estimator of a cumulative distribution function (CDF). Under some mild conditions, the law of the iterated logarithm (LIL) for the Lp-norms of empirical processes is extended to the kernel estimator of the CDF.
DOI
10.3390/math12071063
Recommended Citation
Cheng, Fuxia. 2024. "The Law of the Iterated Logarithm for Lp-Norms of Kernel Estimators of Cumulative Distribution Functions" Mathematics 12, no. 7: 1063. https://doi.org/10.3390/math12071063.
Comments
First published in Mathematics 2024, 12(7), 1063; https://doi.org/10.3390/math12071063.
© 2024 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).