Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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