Cramér type moderate deviations for stationary sequences of bounded random variables

Published 3 Jul 2019 in math.PR and math.DS | (1907.01757v1)

Abstract: We derive Cram\'{e}r 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 $\phi$-mixing sequences, and contracting Markov chains are discussed.

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Xiequan Fan

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