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

Thomas Oikonomou, G. Baris Bagci

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)137-146
Number of pages10
JournalReports on Mathematical Physics
Volume66
Issue number1
DOIs
Publication statusPublished - Aug 2010
Externally publishedYes

Fingerprint

real numbers
completeness
Two Parameters
Completeness
Bijection
Generalized Functions
Valid
Range of data

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories. / Oikonomou, Thomas; Baris Bagci, G.

In: Reports on Mathematical Physics, Vol. 66, No. 1, 08.2010, p. 137-146.

Research output: Contribution to journalArticle

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