DocumentCode :
934707
Title :
On the convexity of some divergence measures based on entropy functions
Author :
Burbea, Jacob ; Rao, C. Radhakrishna
Volume :
28
Issue :
3
fYear :
1982
fDate :
5/1/1982 12:00:00 AM
Firstpage :
489
Lastpage :
495
Abstract :
Three measures of divergence between vectors in a convex set of a 
-dimensional real vector space are defined in terms of certain types of entropy functions, and their convexity property is studied. Among other results, a classification of the entropies of degree 
is obtained by the convexity of these measures. These results have applications in information theory and biological studies.
-dimensional real vector space are defined in terms of certain types of entropy functions, and their convexity property is studied. Among other results, a classification of the entropies of degree is obtained by the convexity of these measures. These results have applications in information theory and biological studies.Keywords :
Biological information theory; Entropy; Extraterrestrial measurements; Information theory; Jacobian matrices; Mathematics; Mutual information; Probability distribution; Statistics;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1982.1056497
Filename :
1056497
Link To Document :
