Jérôme Dedecker, Florence Merlevède
Published 2014-04-02Version 1
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Banach space. Next, we obtain some sharp concentration inequalities for the empirical measure of $\{T, T^2, \cdots, T^n\}$, on a class of smooth functions, when $T$ belongs to a class of nonuniformly expanding maps of the unit interval.
Small Deviations for Dependent Sequences
A deviation bound for $α$-dependent sequences with applications to intermittent maps
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