<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>An Information inequality by using convexity arguments and Jensen inequality is established in terms of Csiszar f-divergence measures. This inequality is applied in comparing particular divergences which play a fundamental role in Information theory, such as Kullback-Leibler distance, Hellinger discrimination, Chi-square distance, J-divergences and others.</p></abstract>

An Information inequality by using convexity arguments and Jensen inequality is established in terms of Csiszar f-divergence measures. This inequality is applied in comparing particular divergences which play a fundamental role in Information theory, such as Kullback-Leibler distance, Hellinger discrimination, Chi-square distance, J-divergences and others.

A New Information Inequality and Its Application in Establishing Relation Among Various f-Divergence Measures

Department of Mathematics, Malaviya National Institute of Technology, Jaipur (Rajasthan) -302017, INDIA

Journal of Applied Mathematics, Statistics and Informatics

An Information inequality by using convexity arguments and Jensen inequality is established in terms of Csiszar f-divergence measures. This inequality is...

A New Information Inequality and Its Application in Establishing Relation Among Various f-Divergence Measures

Published Online: Aug 13, 2012

Page range: 17 - 32

DOI: https://doi.org/10.2478/v10294-012-0002-6

Keywords
f-divergence measure, Chi-square divergence, Kullback-Leibler distance, Hellinger discrimination, J-divergence, Relative J-divergence, Jenson-Shannon's divergence, Triangular discrimination etc

This content is open access.

A New Information Inequality and Its Application in Establishing Relation Among Various f-Divergence Measures

Published Online: Aug 13, 2012

Page range: 17 - 32

DOI: https://doi.org/10.2478/v10294-012-0002-6

Keywordsf-divergence measure, Chi-square divergence, Kullback-Leibler distance, Hellinger discrimination, J-divergence, Relative J-divergence, Jenson-Shannon's divergence, Triangular discrimination etc

This content is open access.

Keywords
f-divergence measure, Chi-square divergence, Kullback-Leibler distance, Hellinger discrimination, J-divergence, Relative J-divergence, Jenson-Shannon's divergence, Triangular discrimination etc