Over the last two decades, it has been argued that the Lorentz transformation mechanism, which imposes the generalization of Newton’s classical mechanics into Einstein’s special relativity, implies a generalization, or deformation, of the ordinary statistical mechanics. The exponential function, which defines the Boltzmann factor, emerges properly deformed within this formalism. Starting from this, the so-called κ-deformed exponential function, we introduce new classes of statistical distributions emerging as the κ-deformed versions of already known distribution as the Generalized Gamma, Weibull, Logistic ones which can be adopted in the analysis of statistical data that exhibit power-law tails.
New power-law tailed distributions emerging in κ-statistics / Kaniadakis, G.. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - ELETTRONICO. - 133:1(2021), p. 10002. [10.1209/0295-5075/133/10002]
Titolo: | New power-law tailed distributions emerging in κ-statistics | |
Autori: | ||
Data di pubblicazione: | 2021 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1209/0295-5075/133/10002 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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EPL2021-arXiv.pdf | 2. Post-print / Author's Accepted Manuscript | ![]() | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2957169