Title:

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

Group publication title:

2023, nr 1, JTIT-artykuły

Creator:

Benmahmoud, Slimane

Subject and Keywords:

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

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

Date:

2023, nr 1

Resource Type:

artykuł

Format:

application/pdf

Resource Identifier:

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