A symmetric divergence measure and its bounds
type: Item
instance of: scholarly article
title: A symmetric divergence measure and its bounds
zbMATH Open document ID: 1264.94078
author: K. C. Jain
author: Ruchi Mathur
published in: Tamkang Journal of Mathematics
publication date: 2012-07-05T00:00:00Z
full work available at URL: http://journals.math.tku.edu.tw/index.php/TKJM/article/view/1034
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 6053311
zbMATH Keywords: symmetric
zbMATH Keywords: Csiszar's f divergence
zbMATH Keywords: parametric measure
MaRDI profile type: Publication
OpenAlex ID: W4229721980
DOI: 10.5556/J.TKJM.42.2011.493-503
Recommended article: Q5467168
Recommended article: On the symmetrized \(s\)-divergence
Recommended article: Q4614355
Recommended article: Q5306906
Recommended article: Generalized arithmetic and geometric mean divergence measure and their statistical aspects
Recommended article: A Sequence of Inequalities among Difference of Symmetric Divergence Measures
Recommended article: Generalized ‘useful’ non-symmetric divergence measures and inequalities
Recommended article: Q5699853
Recommended article: Generalized Symmetric Divergence Measures and the Probability of Error
Recommended article: Q4282921
review text: The authors define a symmetric divergence measure as an example of Csiszar's f-divergence. Then its bounds are shown using (1) chi-square divergence, (2) Kullback-Leibler divergence and (3) Hellinger's discrimination. In addition, a numerical simulation for the authors' symmetric divergence measure, the symmetric chi-square divergence and the symmetric Kullback-Leibler divergence is given. The references in this paper are also helpful for the study of entropies and divergences.
reviewed by: Shigeru Furuichi
description: scientific article; zbMATH DE number 6053311