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Approximation at First and Second Order of $m$-order Integrals of the Fractional Brownian Motion and of Certain Semimartingales

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References

1999Continuous Martingales and Brownian Motion6,200 cited
2006The Malliavin Calculus and Related Topics2,470 cited
1995The Malliavin Calculus and Related Topics1,545 cited
1951Multiple Wiener Integral699 cited
1997Arbitrage with Fractional Brownian Motion590 cited
1998Integration with respect to fractal functions and stochastic calculus. I589 cited
1979Convergence of integrated processes of arbitrary Hermite rank566 cited
2005Central limit theorems for sequences of multiple stochastic integrals442 cited
1997Quadratic variations and estimation of the local Hölder index of a Gaussian process357 cited
1981Calcul d'ito sans probabilites247 cited
2003Stochastic integration with respect to the fractional Brownian motion228 cited
1989Convergence en loi des suites d'intégrales stochastiques sur l'espace $$\mathbb{D}$$ 1 de Skorokhod192 cited
2000Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 12150 cited
2003Stochastic integration with respect to fractional Brownian motion and applications121 cited
2004m-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index

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101 cited

1996Ito formula forC 1-functions of semimartingales84 cited

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