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A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results, Journal of Telecommunications and Information Technology, 2023, nr 1
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Title: A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results, Journal of Telecommunications and Information Technology, 2023, nr 1

Creator:

Benmahmoud, Slimane

Date:

2023, nr 1

Resource Type:

artykuł

Group publication title:

2023, nr 1, JTIT-artykuły

Description:

In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE). When the order of differentiation α → 1, the ordinary Rao CRE is recovered, which corresponds to the results from first-order ordinary differentiation. Some properties and examples of the proposed FCRE are also presented.

Publisher:

Instytut Łączności - Państwowy Instytut Badawczy

Format:

application/pdf

Resource Identifier:

oai:bc.itl.waw.pl:2264 ; ISSN 1509-4553, on-line: ISSN 1899-8852

DOI:

10.26636/jtit.2023.166622

eISSN:

1899-8852

Source:

Journal of Telecommunications and Information Technology

Language:

ang

Rights Management:

Biblioteka Naukowa Instytutu Łączności

Subject and keywords:

Riemann-Liouville/Caputo fractional integral/derivative cumulative residual entropy (CRE) entropy’s generating function information measure Tsallis/Rényi entropy fractional calculus

Object collections:

Last modified:

Jun 6, 2024

In our library since:

Apr 27, 2023

Number of object content hits:

21

All available object's versions:

https://bc.itl.waw.pl/publication/2574

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Edition name Date
Benmahmoud, Slimane, A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results, Journal of Telecommunications and Information Technology, 2023, nr 1 Jun 6, 2024

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artykuł
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Instytut Łączności – Państwowy Instytut Badawczy ul. Szachowa 1 04-894 Warszawa

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