Volume 133, Number 1, January 2021
|Number of page(s)||7|
|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
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