Limits properties of the kernel estimator of the characteristic function

In this paper we consider a kernel estimator of the characteristic function of a real random variable X introduced by Abdushukurov and Norboev (2017). A method similar to that of Gneyou (2005) is used to establish the almost sure uniform convergence of the estimator on a closed and bounded interval....

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Bibliographic Details
Published inAfrika statistika Vol. 18; no. 4; pp. 3697 - 3708
Main Authors AGBAVON, Yawa, GNAMASSE, Anani Komlan Mensah, GNEYOU, Kossi Essona
Format Journal Article
LanguageEnglish
Published 01.10.2023
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ISSN2316-090X
DOI10.16929/as/2023.3697.323

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Summary:In this paper we consider a kernel estimator of the characteristic function of a real random variable X introduced by Abdushukurov and Norboev (2017). A method similar to that of Gneyou (2005) is used to establish the almost sure uniform convergence of the estimator on a closed and bounded interval. This initiative uses the properties of a measurable VC-class of functions
ISSN:2316-090X
DOI:10.16929/as/2023.3697.323