Milstein's type schemes for fractional SDEs

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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.
16 pages. To appear in Ann. Inst. H. Poincaré Probab. Statist

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Probability, 60F15, 60G15, 60H05, 60H35

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http://salesiana.dossiersoluciones.com/handle/123456789/172212

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702317
 http://arxiv.org/abs/math/0702317

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arXiv