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Statistics
A Journal of Theoretical and Applied Statistics
Volume 44, 2010 - Issue 2
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Original Articles

On divergences of finite measures and their applicability in statistics and information theory

Wolfgang Stummer Department of Mathematics, University of Erlangen–Nürnberg, Bismarckstrasse 1 1/2, D-91054, Erlangen, Germany; School of Business and Economics, University of Erlangen–Nürnberg, Erlangen, GermanyCorrespondence[email protected]
&
Igor Vajda Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod Vodárenskou Věží 4, 182 08 Praha 8 – Libeň, Czech Republic
Pages 169-187 | Received 23 Nov 2005, Published online: 17 Jun 2009

Citations (16)

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Christoph Gietl & Fabian P. Reffel. (2017) Continuity of f-projections and applications to the iterative proportional fitting procedure. Statistics 51:3, pages 668-684.
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Articles from other publishers (15)

Michel Broniatowski & Wolfgang Stummer. (2024) Some Theoretical Foundations of Bare-Simulation Optimization of Some Directed Distances between Fuzzy Sets Respectively Basic Belief Assignments. Entropy 26:4, pages 312.
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Michel Broniatowski & Wolfgang Stummer. (2023) A Precise Bare Simulation Approach to the Minimization of Some Distances. I. Foundations. IEEE Transactions on Information Theory 69:5, pages 3062-3120.
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Igal Sason. (2022) Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems. Entropy 24:5, pages 712.
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Michel Broniatowski & Wolfgang Stummer. 2022. Geometry and Statistics. Geometry and Statistics 145 223 .
Amichai Painsky & Gregory W. Wornell. (2020) Bregman Divergence Bounds and Universality Properties of the Logarithmic Loss. IEEE Transactions on Information Theory 66:3, pages 1658-1673.
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N. Martín, L. Pardo & K. Zografos. (2017) On divergence tests for composite hypotheses under composite likelihood. Statistical Papers 60:6, pages 1883-1919.
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Igal Sason. (2019) On Data-Processing and Majorization Inequalities for f-Divergences with Applications. Entropy 21:10, pages 1022.
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Sarah Krömer & Wolfgang Stummer. 2019. Stochastic Models, Statistics and Their Applications. Stochastic Models, Statistics and Their Applications 393 407 .
Frank Nielsen & Richard Nock. 2019. Geometric Science of Information. Geometric Science of Information 299 308 .
Michel Broniatowski & Wolfgang Stummer. 2019. Geometric Structures of Information. Geometric Structures of Information 149 211 .
Abhik Ghosh & Ayanendranath Basu. (2018) A Generalized Relative (α, β)-Entropy: Geometric Properties and Applications to Robust Statistical Inference. Entropy 20:5, pages 347.
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Birgit Roensch & Wolfgang Stummer. 2017. Geometric Science of Information. Geometric Science of Information 460 469 .
G. Avlogiaris, A. Micheas & K. Zografos. (2016) On testing local hypotheses via local divergence. Statistical Methodology 31, pages 20-42.
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G. Avlogiaris, A. Micheas & K. Zografos. (2015) On local divergences between two probability measures. Metrika 79:3, pages 303-333.
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Wolfgang Stummer & Igor Vajda. (2012) On Bregman Distances and Divergences of Probability Measures. IEEE Transactions on Information Theory 58:3, pages 1277-1288.
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