Generalized arithmetic and geometric mean divergence measure and their statistical aspects

DOI10.1080/09720502.2006.10700442zbMath1130.62006arXivmath/0501300OpenAlexW2098577508MaRDI QIDQ5441824

Inder Jeet Taneja, Pranesh Kumar

Publication date: 15 February 2008

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501300

zbMATH Keywords

information inequalitiesCsiszár \(f\)-divergencerelative AG-divergence of type \(s\)relative information of type \(s\)relative J-divergence of type \(s\)relative JS-divergence of type \(s\)

Mathematics Subject Classification ID

Statistical aspects of information-theoretic topics (62B10)

Related Items (3)

Unnamed Item ⋮ A New Fuzzy Information Inequalities and its Applications in Establishing Relation among Fuzzy $f$-Divergence Measures ⋮ A New Information Inequality and Its Application in Establishing Relation Among Various f-Divergence Measures

Cites Work

• A Mathematical Theory of Communication
• Entropy differential metric, distance and divergence measures in probability spaces: A unified approach
• Diversity and dissimilarity coefficients: A unified approach
• Statistical aspects of divergence measures
• Theory of statistical inference and information. Transl. from the Slovak by the author
• Connections of generalized divergence measures with Fisher information matrix
• New parametric measures of information
• On a Measure of the Information Provided by an Experiment
• Optimal Statistical Decisions
• On the convexity of some divergence measures based on entropy functions
• Information radius
• On Information and Sufficiency
• An invariant form for the prior probability in estimation problems

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