A historical perspective on Schützenberger-Pinsker inequalities (extended version)
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Publication:6670440
DOI10.1007/s41884-024-00138-zMaRDI QIDQ6670440
Publication date: 23 January 2025
Published in: Information Geometry (Search for Journal in Brave)
total variationmutual informationKullback-Leibler divergencePinsker inequalitydata processing inequalitystatistical distance
Information theory (general) (94A15) Multivariate analysis (62Hxx) Sufficiency and information (62Bxx)
Cites Work
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- A Mathematical Theory of Communication
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Information geometry and its applications
- Entropy and the central limit theorem
- Asymptotic methods in statistical decision theory
- Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen.
- On the criterion, that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling.
- Unifying leakage models on a Rényi day
- Fano's inequality for random variables
- On exponential bounds for binomial probabilities
- A note on exponential bounds for binomial probabilities
- Théorie de l'addition des variables aléatoires.
- Entfernung zweier zufälliger Grössen und die Konvergenz nach Wahrscheinlichkeit
- Mathematical Methods of Organizing and Planning Production
- Asymmetric Topologies on Statistical Manifolds
- Information Measures: The Curious Case of the Binary Alphabet
- [https://portal.mardi4nfdi.de/wiki/Publication:3048064 Estimation des densit�s: risque minimax]
- Some Limit Theorems for Random Functions. I
- On the definition of a family of automata
- A new metric for probability distributions
- Guessing Under Source Uncertainty
- Sharper lower bounds for discrimination information in terms of variation (Corresp.)
- Some inequalities for information divergence and related measures of discrimination
- Refinements of Pinsker's inequality
- On the Optimum Rate of Transmitting Information
- On Choosing and Bounding Probability Metrics
- On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences
- Information, Divergence and Risk for Binary Experiments
- Elements of Information Theory
- A Note on Hoeffding's Inequality
- Note on discrimination information and variation (Corresp.)
- Table for Estimating the Goodness of Fit of Empirical Distributions
- On Information and Sufficiency
- Convergence de la répartition empirique vers la répartition théorique
- An invariant form for the prior probability in estimation problems
- Information Theory and Statistics: A Tutorial
- Introduction to nonparametric estimation
- On Fourier series
- Analytic Information Theory
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