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arxiv: 1111.1845 · v1 · pith:DGWJRTH7new · submitted 2011-11-08 · 🧮 math.PR

Rate of convergence of Euler approximations of solution to mixed stochastic differential equation involving Brownian motion and fractional Brownian motion

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keywords brownianmotionequationapproximationsconvergencedifferentialeulerfractional
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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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