New Series of Information Divergence Measures and their Properties

Authors

K. C. Jain, Department of Mathematics, Malaviya National Institute of Technology, Jaipur- 302017, Rajasthan, IndiaFollow
Praphull Chhabra, Department of Mathematics, Malaviya National Institute of Technology, Jaipur- 302017, Rajasthan, IndiaFollow

Author Country (or Countries)

India

Abstract

In this work, we introduce new series of divergence measures as a family of Csiszar’s functional divergence, characterize the properties of convex functions and divergences, compare several divergences, and derive various important and interesting relations among divergences of these new series and other well known divergence measures. Also get the bounds of a particular member of that series together with numerical verification. Application to the mutual information is presented as well.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100422

Recommended Citation

C. Jain, K. and Chhabra, Praphull (2016) "New Series of Information Divergence Measures and their Properties," Applied Mathematics & Information Sciences: Vol. 10: Iss. 4, Article 22.
DOI: http://dx.doi.org/10.18576/amis/100422
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss4/22