DocumentCode
1178174
Title
On uniqueness Theorems for Tsallis entropy and Tsallis relative entropy
Author
Furuichi, Shigeru
Author_Institution
Dept. of Electron. & Comput. Sci., Tokyo Univ. of Sci., Sanyo-Onoda City
Volume
51
Issue
10
fYear
2005
Firstpage
3638
Lastpage
3645
Abstract
The uniqueness theorem for Tsallis entropy was presented in H. Suyari, IEEE Trans. Inf. Theory, vol. 50, pp. 1783-1787, Aug. 2004 by introducing the generalized Shannon-Khinchin axiom. In the present correspondence, this result is generalized and simplified as follows: Generalization : The uniqueness theorem for Tsallis relative entropy is shown by means of the generalized Hobson´s axiom. Simplification: The uniqueness theorem for Tsallis entropy is shown by means of the generalized Faddeev´s axiom
Keywords
entropy; probability; Tsallis entropy; Tsallis relative entropy; generalized Faddeevs axiom; generalized Shannon-Khinchin axiom; uniqueness theorem; Cities and towns; Computer science; Computer science education; Entropy; Fractals; Physics; Random variables; Generalized Faddeev´s axiom; Tsallis entropy; Tsallis relative entropy; generalized Hobson´s axiom; generalized Shannon–Khinchin´s axiom; uniqueness theorem;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2005.855606
Filename
1512434
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