A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories

Thomas Oikonomou; G. Baris Bagci

doi:10.1016/S0034-4877(10)80028-X

A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories

Thomas Oikonomou, G. Baris Bagci

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We recently provided a criterion of completeness valid for any generalized thermostatistics to check whether they form a bijection from R⁺/R (set of positive real numbers/all real numbers) to R/R⁺ in a previous paper. In the current work, we apply this criterion to Kaniadakis, Abe and two-parameter generalized functions and obtain their respective validity ranges.

Original language	English
Pages (from-to)	137-146
Number of pages	10
Journal	Reports on Mathematical Physics
Volume	66
Issue number	1
DOIs	https://doi.org/10.1016/S0034-4877(10)80028-X
Publication status	Published - Aug 1 2010
Externally published	Yes

Keywords

Deformation parameter range
Deformed logarithm/exponential
Kaniadakis statistics
Two-parameter deformed functions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1016/S0034-4877(10)80028-X

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KW - Kaniadakis statistics

KW - Two-parameter deformed functions

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