2 papers
math.DS2008
A concentration inequality for interval maps with an indifferent fixed point
J. -R. Chazottes, P. Collet, F. Redig +1
For a map of the unit interval with an indifferent fixed point, we prove an upper bound for the variance of all observables of variables which are componentwis…
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…