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Preprints, Working Papers, ... Year : 2007

Moderate deviations for stationary sequences of bounded random variables

Abstract

In this paper we derive the moderate deviation principle for stationary sequences of bounded random variables under martingale-type conditions. Applications to functions of $\phi$-mixing sequences, contracting Markov chains, expanding maps of the interval, and symmetric random walks on the circle are given.
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Dates and versions

hal-00191156 , version 1 (25-11-2007)

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Jérôme Dedecker, Florence Merlevède, Magda Peligrad, Sergey Utev. Moderate deviations for stationary sequences of bounded random variables. 2007. ⟨hal-00191156⟩
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