A Bernstein type inequality and moderate deviations for weakly dependent sequences

Details A Bernstein type inequality and moderate deviations for weakly dependent sequences A Bernstein type inequality and moderate deviations for weakly dependent sequences

2009-02-03

arxiv.org/abs/0902.0582v1

Mathematics

Probability

Scientific paper

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

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