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

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 reco...

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Hlavní autor:	Slimane Benmahmoud
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	National Institute of Telecommunications 2023-03-01
Edice:	Journal of Telecommunications and Information Technology
Témata:	cumulative residual entropy (CRE) entropy’s generating function fractional calculus information measure RiemannLiouville/Caputo fractional integral/derivative Tsallis/Rényi entropy
On-line přístup:	https://jtit.pl/jtit/article/view/217
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