English

A decomposition of the bifractional Brownian motion and some applications

Probability 2008-03-17 v1

Abstract

In this paper we show a decomposition of the bifractional Brownian motion with parameters H,K into the sum of a fractional Brownian motion with Hurst parameter HK plus a stochastic process with absolutely continuous trajectories. Some applications of this decomposition are discussed.

Keywords

Cite

@article{arxiv.0803.2227,
  title  = {A decomposition of the bifractional Brownian motion and some applications},
  author = {Pedro Lei and David Nualart},
  journal= {arXiv preprint arXiv:0803.2227},
  year   = {2008}
}