Some Further Results on the Fractional Cumulative Entropy

In this paper, the fractional cumulative entropy is considered to get its further properties and also its developments to dynamic cases. The measure is used to characterize a family of symmetric distributions and also another location family of distributions. The links between the fractional cumulat...

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Detalles Bibliográficos
Autores principales: Kayid, Mohamed, Shrahili, Mansour
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407471/
https://www.ncbi.nlm.nih.gov/pubmed/36010701
http://dx.doi.org/10.3390/e24081037
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author Kayid, Mohamed
Shrahili, Mansour
author_facet Kayid, Mohamed
Shrahili, Mansour
author_sort Kayid, Mohamed
collection PubMed
description In this paper, the fractional cumulative entropy is considered to get its further properties and also its developments to dynamic cases. The measure is used to characterize a family of symmetric distributions and also another location family of distributions. The links between the fractional cumulative entropy and the classical differential entropy and some reliability quantities are also unveiled. In addition, the connection the measure has with the standard deviation is also found. We provide some examples to establish the variability property of this measure.
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spelling pubmed-94074712022-08-26 Some Further Results on the Fractional Cumulative Entropy Kayid, Mohamed Shrahili, Mansour Entropy (Basel) Article In this paper, the fractional cumulative entropy is considered to get its further properties and also its developments to dynamic cases. The measure is used to characterize a family of symmetric distributions and also another location family of distributions. The links between the fractional cumulative entropy and the classical differential entropy and some reliability quantities are also unveiled. In addition, the connection the measure has with the standard deviation is also found. We provide some examples to establish the variability property of this measure. MDPI 2022-07-28 /pmc/articles/PMC9407471/ /pubmed/36010701 http://dx.doi.org/10.3390/e24081037 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/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/).
spellingShingle Article
Kayid, Mohamed
Shrahili, Mansour
Some Further Results on the Fractional Cumulative Entropy
title Some Further Results on the Fractional Cumulative Entropy
title_full Some Further Results on the Fractional Cumulative Entropy
title_fullStr Some Further Results on the Fractional Cumulative Entropy
title_full_unstemmed Some Further Results on the Fractional Cumulative Entropy
title_short Some Further Results on the Fractional Cumulative Entropy
title_sort some further results on the fractional cumulative entropy
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407471/
https://www.ncbi.nlm.nih.gov/pubmed/36010701
http://dx.doi.org/10.3390/e24081037
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