Concentration bounds for entropy estimation of one-dimensional Gibbs measures

DOI10.1088/0951-7715/24/8/011zbMath1223.37107arXiv1102.1816OpenAlexW3105052971WikidataQ105584710 ScholiaQ105584710MaRDI QIDQ3173389

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Publication date: 10 October 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1816

zbMATH Keywords

concentration inequalitiesplug-in estimatorfluctuation bounds

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (5)

Fluctuations of Observables in Dynamical Systems: From Limit Theorems to Concentration Inequalities ⋮ Gaussian concentration bounds for stochastic chains of unbounded memory ⋮ Gaussian concentration bound for potentials satisfying Walters condition with subexponential continuity rates ⋮ Estimating entropy rate from censored symbolic time series: A test for time-irreversibility ⋮ Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures

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