| Issue |
EPL
Volume 133, Number 1, January 2021
|
|
|---|---|---|
| Article Number | 10002 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/133/10002 | |
| Published online | 05 March 2021 | |
New power-law tailed distributions emerging in κ-statistics(a)
Department of Applied Science and Technology, Politecnico di Torino - Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Received: 21 December 2020
Accepted: 3 February 2021
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.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 02.50.Cw – Probability theory / 12.40.Ee – Statistical models
© 2021 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.