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On the Rényi Entropy Functional, Tsallis Distributions and Lévy Stable Distributions
Version 1
: Received: 27 January 2024 / Approved: 29 January 2024 / Online: 29 January 2024 (06:46:29 CET)
How to cite: A Mageed, D. I. On the Rényi Entropy Functional, Tsallis Distributions and Lévy Stable Distributions. Preprints 2024, 2024011996. https://doi.org/10.20944/preprints202401.1996.v1 A Mageed, D. I. On the Rényi Entropy Functional, Tsallis Distributions and Lévy Stable Distributions. Preprints 2024, 2024011996. https://doi.org/10.20944/preprints202401.1996.v1
Abstract
The Rényi entropy functional was optimised for the novel findings of this investigation under various conditions. Their research's findings suggest that the complete spectrum of Lévy stable distributions is covered by generalised t-distributions. Additionally, an exposition was undertaken to prove that the Lévy distribution generalizes Tsallisian distribution, rather than the reverse. The current study is a strong generalization of an existing research work in the literature.
Keywords
Shannon entropy functional; Rényi entropy functional; Tsallis non-extensive entropy functional; Lévy stable distributions
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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