Numerical scheme for stochastic differential equations driven by fractional Brownian motion with 1/4 < H < 1/2
Probability
2019-04-08 v1
Abstract
In this article, we study a numerical scheme for stochastic differential equations driven by fractional Brownian motion with Hurst parameter H in (1/4; 1/2). Towards this end, we apply Doss-Sussmann representation of the solution and an approximation of this representation using a first order Taylor expansion. The obtained rate of convergence is n^(2H+rho), for rho small enough.
Keywords
Cite
@article{arxiv.1904.03113,
title = {Numerical scheme for stochastic differential equations driven by fractional Brownian motion with 1/4 < H < 1/2},
author = {H. Araya and J. A. León and S. Torres},
journal= {arXiv preprint arXiv:1904.03113},
year = {2019}
}
Comments
Accepted for publication in Journal of Theoretical Probability