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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.855606
