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

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-paramete...

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Bibliographic Details
Published inReports on mathematical physics Vol. 66; no. 1; pp. 137 - 146
Main Authors Oikonomou, Thomas, Baris Bagci, G.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2010
Subjects
Completeness
Criteria
deformation parameter range
deformed logarithm/exponential
Kaniadakis statistics
Mathematical analysis
Real numbers
two-parameter deformed functions
deformed logarithm/exponential
Kaniadakis statistics
two-parameter deformed functions
deformation parameter range
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(10)80028-X