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An empirical central limit theorem for intermittent maps
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  • Published: 19 May 2009

An empirical central limit theorem for intermittent maps

  • J. Dedecker1 

Probability Theory and Related Fields volume 148, pages 177–195 (2010)Cite this article

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An Erratum to this article was published on 25 October 2011

Abstract

We prove an empirical central limit theorem for the distribution function of a stationary sequence, under a dependence condition involving only indicators of half line. We show that the result applies to the empirical distribution function of iterates of expanding maps with a neutral fixed point at zero as soon as the correlations are summable.

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Author information

Authors and Affiliations

  1. Laboratoire de Statistique Théorique et Appliquée, Université Paris 6-Pierre et Marie Curie, 175 rue du Chevaleret, 75013, Paris, France

    J. Dedecker

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  1. J. Dedecker
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Correspondence to J. Dedecker.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s00440-011-0393-0.

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Cite this article

Dedecker, J. An empirical central limit theorem for intermittent maps. Probab. Theory Relat. Fields 148, 177–195 (2010). https://doi.org/10.1007/s00440-009-0227-5

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  • Received: 07 October 2008

  • Revised: 08 April 2009

  • Published: 19 May 2009

  • Issue Date: September 2010

  • DOI: https://doi.org/10.1007/s00440-009-0227-5

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Keywords

  • Intermittency
  • Empirical distribution function
  • Rosenthal inequalities

Mathematics Subject Classification (2000)

  • 37E05
  • 60F17
  • 60G10
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