A Generalization of the Havrda-Charvat and Tsallis Entropy and Its Axiomatic Characterization
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this communication, we characterize a measure of information of types α , β , and γ by taking certain axioms parallel to those considered earlier by Havrda and Charvat along with the recursive relation H n ( p 1 , … , p n ; α , β , γ ) - H n - 1 ( p 1 + p 2 , p 3 , … , p n ; α , β , γ ) = ( A ( α , γ ) / ( A ( α , γ ) - A ( β , γ ) )) p 1 + p 2 α / γ H 2 ( p 1 / ( p 1 + p 2 ) , p 2 / ( p 1 + p 2 ) ; α , γ ) + ( A ( β , γ ) / (A ( β , γ ) - A ( α , γ ) )) ( p 1 + p 2 ) ( β / γ ) H 2 ( p 1 / ( p 1 + p 2 ) , p 2 / ( p 1 + p 2 ) ; γ , β ), α ≠ γ ≠ β , α , β , γ > 0 .
Some properties of this measure are also studied.
This measure includes Shannon’s information measure as a special case.
American Psychological Association (APA)
Kumar, Satish& Ram, Gurdas. 2014. A Generalization of the Havrda-Charvat and Tsallis Entropy and Its Axiomatic Characterization. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014117
Modern Language Association (MLA)
Kumar, Satish& Ram, Gurdas. A Generalization of the Havrda-Charvat and Tsallis Entropy and Its Axiomatic Characterization. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014117
American Medical Association (AMA)
Kumar, Satish& Ram, Gurdas. A Generalization of the Havrda-Charvat and Tsallis Entropy and Its Axiomatic Characterization. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014117
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014117