Title :
A group-theoretic approach to information inequalities
Author :
Chan, Ho-Leung ; Yeung, Raymond W.
Author_Institution :
Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China
Abstract :
The one-to-one correspondence between group-theoretic inequalities and information-theoretic inequalities are established. The consequence is that we can prove an information-theoretic inequality by proving its corresponding group-theoretic inequality and vice verse. Finally, a new non-trivial group-theoretic inequality is found using this approach. The meaning of this inequality is yet to be understood
Keywords :
group theory; information theory; group theory; group-theoretic inequalities; information theory; information-theoretic inequalities; nontrivial group-theoretic inequality; Cramer-Rao bounds; Entropy; Information analysis; Information theory; Random variables;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866790
