\((h,\Psi)\)-entropy differential metric

DOI10.1023/A:1022214326758zbMath0898.62005OpenAlexW1590757293MaRDI QIDQ1265614

Domingo Morales, Miguel Salicrú, M. Luisa Menendez, Leandro Pardo

Publication date: 28 September 1998

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

Full work available at URL: https://eudml.org/doc/32970

zbMATH Keywords

information metricgeodesic distancegeneralized entropies

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Statistical aspects of information-theoretic topics (62B10) Local Riemannian geometry (53B20)

Related Items (6)

Rényi information measure for a used item ⋮ Asymptotic minimum scoring rule prediction ⋮ Different closed-form expressions for generalized entropy rates of Markov chains ⋮ Formulas for Rényi information and related measures for univariate distributions. ⋮ A novel nonparametric distance estimator for densities with error bounds ⋮ Estimators based on sample quantiles using \((h,\phi)\)-entropy measures

Cites Work

• A Mathematical Theory of Communication
• Entropy differential metric, distance and divergence measures in probability spaces: A unified approach
• Informative geometry of probability spaces
• Entropy of type \((\alpha,\beta)\) and other generalized measures in information theory
• New parametric measures of information
• On the convexity of some divergence measures based on entropy functions
• On the convexity of higher order Jensen differences based on entropy functions (Corresp.)
• Asymptotic distribution of (h, φ)-entropies
• Information-theoretical considerations on estimation problems
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