English

Bahadur representation of sample quantiles for functional of Gaussian dependent sequences under a minimal assumption

Statistics Theory 2008-09-30 v2 Statistics Theory

Abstract

We obtain a Bahadur representation for sample quantiles of nonlinear functional of Gaussian sequences with correlation function decreasing as kαk^{-\alpha} for some α>0\alpha > 0. This representation is derived under a mimimal assumption.

Keywords

Cite

@article{arxiv.math/0702440,
  title  = {Bahadur representation of sample quantiles for functional of Gaussian dependent sequences under a minimal assumption},
  author = {Jean-François Coeurjolly},
  journal= {arXiv preprint arXiv:math/0702440},
  year   = {2008}
}