On Unified Generalizations of Relative Jensen--Shannon and Arithmetic--Geometric Divergence Measures, and Their Properties

dc.creatorKumar, Pranesh
dc.creatorTaneja, Inder Jeet
dc.date2005-01-19
dc.date.accessioned2026-07-07T08:06:39Z
dc.date.available2026-07-07T08:06:39Z
dc.descriptionIn this paper we shall consider one parametric generalization of some non-symmetric divergence measures. The \textit{non-symmetric divergence measures} are such as: Kullback-Leibler \textit{relative information}, $χ^2-$\textit{divergence}, \textit{relative J -- divergence}, \textit{relative Jensen -- Shannon divergence} and \textit{relative Arithmetic -- Geometric divergence}. All the generalizations considered can be written as particular cases of Csiszár's \textit{f-divergence}. By putting some conditions on the probability distribution, the aim here is to develop bounds on these measures and their parametric generalizations.
dc.identifierhttps://arxiv.org/abs/math/0501299
dc.identifierhttp://arxiv.org/abs/math/0501299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130681
dc.subjectStatistics Theory
dc.titleOn Unified Generalizations of Relative Jensen--Shannon and Arithmetic--Geometric Divergence Measures, and Their Properties
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