The Law of the Iterated Logarithm for L p -Norms of Kernel Estimators of Cumulative Distribution Functions

Fuxia Cheng ()
Additional contact information
Fuxia Cheng: Department of Mathematics, Illinois State University, Normal, IL 61790, USA

Mathematics, 2024, vol. 12, issue 7, 1-7

Abstract: In this paper, we consider the strong convergence of L p -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 L p -norms of empirical processes is extended to the kernel estimator of the CDF.

Keywords: Lp-norm; LIL; kernel estimator; empirical CDF (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/7/1063/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/7/1063/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:7:p:1063-:d:1368695

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().