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arXiv · 1404.0563

Moment bounds for dependent sequences in smooth Banach spaces

Jérôme Dedecker·Florence Merlevède
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Abstract

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.

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Jérôme Dedecker, Florence Merlevède. 2014-04-02. Moment bounds for dependent sequences in smooth Banach spaces. https://arxiv.org/abs/1404.0563

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