A Bernstein type inequality and moderate deviations for weakly dependent sequences
Probability
2009-02-04 v1
Abstract
In this paper we present a tail inequality for the maximum of partial sums of a weakly dependent sequence of random variables that are not necessarily bounded. The class considered includes geometrically and subgeometrically strongly mixing sequences. The result is then used to derive asymptotic moderate deviations results. Applications include classes of Markov chains, functions of linear processes with absolutely regular innovations and ARCH models
Cite
@article{arxiv.0902.0582,
title = {A Bernstein type inequality and moderate deviations for weakly dependent sequences},
author = {Florence Merlevède and Magda Peligrad and Emmanuel Rio},
journal= {arXiv preprint arXiv:0902.0582},
year = {2009}
}