1Department of Probability, Statistics and Actuarial Mathematics, Mechanics and Mathematics Faculty, Kyiv Taras Shevchenko National University, Volodymyrska, 60, 01601 Kyiv, Ukraine.
Citation Information:
Random Operators and Stochastic Equations.
Volume 19, Issue 4, Pages 387–406, ISSN (Online) 1569-397x, ISSN (Print) 0926-6364,
DOI: 10.1515/ROSE.2011.021,
December 2011
Publication History:
Received: 28/09/2010;
Accepted: 12/02/2011;
Published Online: 01/03/2012
Abstract
We consider a mixed stochastic differential equation involving both standard Brownian motion and fractional Brownian motion with Hurst parameter H > 1/2. The mean-square rate of convergence of Euler approximations of solution to this equation is obtained.
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