Mittag-Leffler Probability Density for Nonextensive Statistics and Superstatistics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914988280512512 |
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| author | Mathai, A. M. Haubold, H. J. |
| author_facet | Mathai, A. M. Haubold, H. J. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_19104 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mittag-Leffler Probability Density for Nonextensive Statistics and Superstatistics Mathai, A. M. Haubold, H. J. Mathematical Physics Statistical Mechanics 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. |
| title | Mittag-Leffler Probability Density for Nonextensive Statistics and Superstatistics |
| topic | Mathematical Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2410.19104 |