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
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