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math.DS2004
Statistical Consequences of Devroye Inequality for Processes. Applications to a Class of Non-Uniformly Hyperbolic Dynamical Systems
J. -R. Chazottes, P. Collet, B. Schmitt
In this paper, we apply Devroye inequality to study various statistical estimators and fluctuations of observables for processes. Most of these observables are suggested by dynamic…
math.DS2004
Devroye Inequality for a Class of Non-Uniformly Hyperbolic Dynamical Systems
J. -R. Chazottes, P. Collet, B. Schmitt
In this paper, we prove an inequality, which we call "Devroye inequality", for a large class of non-uniformly hyperbolic dynamical systems (M,f). This class, introduced by L.-S. Yo…