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

Authors

  • Slimane Benmahmoud

DOI:

https://doi.org/10.26636/jtit.2023.166622

Keywords:

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

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.

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Published

2023-03-30

Issue

No. 1 (2023)

Section

ARTICLES FROM THIS ISSUE

License

Copyright (c) 2023 Journal of Telecommunications and Information Technology

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. Benmahmoud, “A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results”, JTIT, vol. 91, no. 1, pp. 25–29, Mar. 2023, doi: 10.26636/jtit.2023.166622.