Theoretical Foundations and Mathematical Formalism of the Power-Law Tailed Statistical Distributions

We present the main features of the mathematical theory generated by the √ κ-deformed exponential function expκ(x) = ( 1 + κ2x2 + κx)1/κ, with 0 ≤ κ < 1, developed in the last twelve years, which turns out to be a continuous one parameter deformation of the ordinary mathematics generated by the E...

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Bibliographic Details
Main Author: Giorgio Kaniadakis
Format: Article
Language:English
Published: MDPI AG 2013-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/15/10/3983