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arxiv: math/0702317 · v3 · submitted 2007-02-12 · 🧮 math.PR

Milstein's type schemes for fractional SDEs

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keywords exactfractionalschemessdesapproximatingassociatedbrowniancompute
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Weighted power variations of fractional Brownian motion B are used to compute the exact rate of convergence of some approximating schemes associated to one-dimensional stochastic differential equations (SDEs) driven by B. The limit of the error between the exact solution and the considered scheme is computed explicitly.

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