A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results-Reference-Cited by-同舟云学术

A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results

Published:2023-03-31 Issue:2023 Volume:1 Page:25-29
ISSN:1899-8852
Container-title:Journal of Telecommunications and Information Technology
language:
Short-container-title:JTIT

Author:

Benmahmoud Slimane

Abstract

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

National Institute of Telecommunications

Subject

Electrical and Electronic Engineering,Computer Networks and Communications

Link

https://www.il-pib.pl/czasopisma/JTIT/2023/1/25.pdf

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