Generalized log-likelihood functions and Bregman divergences

DOI10.1063/1.3257917zbMath1304.94017OpenAlexW2039991011MaRDI QIDQ3583698

Tatsuaki Wada

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2fddbdcd0e96ab7b1b89eb85ebcee5450286f467

zbMATH Keywords

distance functionsGauss' law of error

Mathematics Subject Classification ID

General nonlinear regression (62J02) Measures of information, entropy (94A17)

Related Items (1)

Geometry of \(q\)-exponential family of probability distributions

Cites Work

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• A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem
• On some functional equations concerning entropy, directed divergence and inaccuracy
• Possible generalization of Boltzmann-Gibbs statistics.
• Bregman divergence as relative operator entropy
• Exponential families and MaxEnt calculations for entropy measures of statistical physics
• Law of Error in Tsallis Statistics
• CONTINUITY OF A CLASS OF ENTROPIES AND RELATIVE ENTROPIES
• Non-linear kinetics underlying generalized statistics

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