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A Bernstein type inequality and moderate deviations for weakly dependent sequences

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
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https://hal.inria.fr/inria-00358525
Contributor : Emmanuel Rio <>
Submitted on : Tuesday, February 3, 2009 - 4:08:38 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:43 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 8:04:05 PM

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  • HAL Id : inria-00358525, version 1
  • ARXIV : 0902.0582

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Florence Merlevède, Magda Peligrad, Emmanuel Rio. A Bernstein type inequality and moderate deviations for weakly dependent sequences. 2009. ⟨inria-00358525⟩

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