Nearest neighbor estimates of Kaniadakis entropy

Ioana Dănilă-Cernat

doi:10.2478/auom-2022-0010

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Nearest neighbor estimates of Kaniadakis entropy

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 1 (February 2022)

By: Ioana Dănilă-Cernat

Open Access

|Mar 2022

Abstract

The aim of this paper is to develop new nonparametric estimators of entropy based on the k^th nearest neighbor distances that are considered between n sample points, k ≤ (n − 1) being a positive integer, fixed. The Method consists in using the new estimators which were useful in order to evaluate the entropies for random vectors. As results, using the Kaniadakis entropy measure, the asymptotic unbiasedness and consistency of the estimators are proven.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 171 - 189

Submitted on: Jul 14, 2021

Accepted on: Sep 13, 2021

Published on: Mar 12, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2022 Ioana Dănilă-Cernat, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 1 (February 2022)