English

Exact confidence intervals for the Hurst parameter of a fractional Brownian motion

Probability 2009-01-29 v1 Statistics Theory Statistics Theory

Abstract

In this short note, we show how to use concentration inequalities in order to build exact confidence intervals for the Hurst parameter associated with a one-dimensional fractional Brownian motion

Keywords

Cite

@article{arxiv.0901.4456,
  title  = {Exact confidence intervals for the Hurst parameter of a fractional Brownian motion},
  author = {Jean-Christophe Breton and Ivan Nourdin and Giovanni Peccati},
  journal= {arXiv preprint arXiv:0901.4456},
  year   = {2009}
}