- Tytuł:
- A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results
- Autorzy:
- Benmahmoud, Slimane
- Powiązania:
- https://bibliotekanauki.pl/articles/2200956.pdf
- Data publikacji:
- 2023
- Wydawca:
- Instytut Łączności - Państwowy Instytut Badawczy
- Tematy:
-
cumulative residual entropy (CRE)
entropy’s generating function
fractional calculus
information measure
Riemann-Liouville/Caputo fractional integral
Riemann-Liouville/Caputo fractional derivative
Tsallis/Rényi entropy - Opis:
- 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.
- Źródło:
-
Journal of Telecommunications and Information Technology; 2023, 1; 25--29
1509-4553
1899-8852 - Pojawia się w:
- Journal of Telecommunications and Information Technology
- Dostawca treści:
- Biblioteka Nauki
Artykuł