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Cramér-type moderate deviations for stationary sequences of bounded random variables

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Abstract We derive Cramer-type moderate deviations for stationary sequences of bounded random variables. Our results imply the moderate deviation principles and a Berry–Esseen bound. Applications to quantile coupling inequalities, functions… Click to show full abstract

Abstract We derive Cramer-type moderate deviations for stationary sequences of bounded random variables. Our results imply the moderate deviation principles and a Berry–Esseen bound. Applications to quantile coupling inequalities, functions of ϕ-mixing sequences, and contracting Markov chains are discussed.

Keywords: bounded random; moderate deviations; deviations stationary; stationary sequences; sequences bounded; type moderate

Journal Title: Comptes Rendus Mathematique
Year Published: 2019

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