On the convexity of some divergence measures based on entropy functions

  • Authors:
  • J. Burbea;C. Rao

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Three measures of divergence between vectors in a convex set of an-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 degreealphais obtained by the convexity of these measures. These results have applications in information theory and biological studies.