English

Vitesse dans le theoreme limite central pour certains processus stationnaires fortement decorreles

Probability 2007-05-23 v1

Abstract

We prove a central limit theorem with speed n1/2n^{-1/2} for stationary processes satisfying a strong decorrelation hypothesis. The proof is a modification of the proof of a theorem of Rio. It is elementary but quite long and technical.

Keywords

Cite

@article{arxiv.math/0306083,
  title  = {Vitesse dans le theoreme limite central pour certains processus stationnaires fortement decorreles},
  author = {Stephane Le Borgne and Francoise Pene},
  journal= {arXiv preprint arXiv:math/0306083},
  year   = {2007}
}