JIPAM

On A Symmetric Divergence Measure and Information Inequalities  
 
  Authors: Pranesh Kumar, Andrew Johnson,  
  Keywords: Divergence measure, Csiszár's $f$-divergence, Parametric measure, Non-parametric measure, Mutual information, Information inequalities.  
  Date Received: 15/10/04  
  Date Accepted: 23/05/05  
  Subject Codes:

94A17; 26D15

 
  Editors: Sever S. Dragomir,  
 
  Abstract:

A non-parametric symmetric measure of divergence which belongs to the family of Csiszár's f-divergences is proposed. Its properties are studied and bounds in terms of some well known divergence measures obtained. An application to the mutual information is considered. A parametric measure of information is also derived from the suggested non-parametric measure. A numerical illustration to compare this measure with some known divergence measures is carried out.;



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