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arXiv · 2410.19104

Mittag-Leffler Probability Density for Nonextensive Statistics and Superstatistics

A. M. Mathai·H. J. Haubold
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Abstract

It is shown that a Mittag-Leffler density has interesting properties. The Mittag-Leffler random variable has a structural representation in terms of a positive Levy variable and the power of a gamma variable where these two variables are independently distributed. It is shown that several central limit-type properties hold but the limiting forms are positive Levy variable rather than a Gaussian variable. A path is constructed from a Mittag-Leffler function to the Mathai pathway model which also provides paths to nonextensive statistics and superstatistics.

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BibTeXRIS

A. M. Mathai, H. J. Haubold. 2024-10-24. Mittag-Leffler Probability Density for Nonextensive Statistics and Superstatistics. https://arxiv.org/abs/2410.19104

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