Stochastic delay equations with non-negativity constraints driven by fractional Brownian motion
Probability
2012-03-05 v2 Statistics Theory
Statistics Theory
Abstract
In this note we prove an existence and uniqueness result for the solution of multidimensional stochastic delay differential equations with normal reflection. The equations are driven by a fractional Brownian motion with Hurst parameter . The stochastic integral with respect to the fractional Brownian motion is a pathwise Riemann--Stieltjes integral.
Keywords
Cite
@article{arxiv.1003.2289,
title = {Stochastic delay equations with non-negativity constraints driven by fractional Brownian motion},
author = {Mireia Besalú and Carles Rovira},
journal= {arXiv preprint arXiv:1003.2289},
year = {2012}
}
Comments
Published in at http://dx.doi.org/10.3150/10-BEJ327 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)