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Tanaka formula for the fractional Brownian motion
16 references·12 citing·26 second hop
Tanaka formula for the fractional Brownian motion (2001)Tanaka formula for the fractional Brownia…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Stochastic integration with respect to fractional brownian motion (2003)Stochastic integration with r…FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)FRACTIONAL WHITE NOISE CALCUL…Stochastic Calculus with Respect to Gaussian Processes (2001)Stochastic Calculus with Resp…Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 12 (2000)Stochastic calculus with resp…Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)Stochastic Calculus for Fract…Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Analysis of the Fr…On Fractional Brownian Processes (1999)On Fractional Brownian Proces…An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)An Elementary Approach to a G…Integration with respect to fractal functions and stochastic calculus. I (1998)Integration with respect to f…Itô′s formula with respect to fractional Brownian motion and its application (1996)Itô′s formula with respect to…The Malliavin Calculus and Related Topics (1995)The Malliavin Calculus and Re…Stochastic analysis of fractional brownian motions (1995)Stochastic analysis of fracti…Forward, backward and symmetric stochastic integration (1993)Forward, backward and symmetr…On a Generalization of a Stochastic Integral (1976)On a Generalization of a Stoc…Fractional Brownian Motions, Fractional Noises and Applications (1968)Fractional Brownian Motions, …Pathwise stochastic calculus with local times (2018)Pathwise stochastic calculus …Itô's formula for a sub-fractional Brownian motion (2011)Itô's formula for a sub-fract…Local time and Tanaka formula for a Volterra-type multifractional Gaussian process (2010)Local time and Tanaka formula…Stochastic calculus with respect to fractional Brownian motion (2009)Stochastic calculus with resp…Integration with Respect to Fractional Local Time with Hurst Index 1/2 < H < 1 (2008)Integration with Respect to F…MULTIDIMENSIONAL BIFRACTIONAL BROWNIAN MOTION: ITÔ AND TANAKA FORMULAS (2007)MULTIDIMENSIONAL BIFRACTIONAL…Weighted Local Time for Fractional Brownian Motion and Applications to Finance (2005)Weighted Local Time for Fract…Some Processes Associated with Fractional Bessel Processes (2005)Some Processes Associated wit…Regularity of the Local Time for the d-dimensional Fractional Brownian Motion with N-parameters (2005)Regularity of the Local Time …Ito's- and Tanaka's-type formulae for the stochastic heat equation: The linear case (2005)Ito's- and Tanaka's-type form…Skorohod integration and stochastic calculus beyond the fractional Brownian scale (2004)Skorohod integration and stoc…Itô Formula and Local Time for the Fractional Brownian Sheet (2003)Itô Formula and Local Time fo…Calcul Stochastique et Problèmes de Martingales (1979)Continuous Martingales and Brownian Motion (1991)Continuous Martingales and Brownian Motion (1999)Stochastic integration with respect to the fractional Brownian motion (2003)Analysis of the Rosenblatt process (2008)Multiple Wiener Integral (1951)Integration questions related to fractional Brownian motion (2000)Differential equations driven by fractional Brownian motion (2002)The Typical Spectral Shape of an Economic Variable (1966)AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING (1980)THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS (1983)Empirical properties of asset returns: stylized facts and statistical issues (2001)Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process (2002)Limit Theorems for Stochastic Processes (2003)Long Range Dependence (2004)Fractals and Scaling in Finance (1997)A General Fractional White Noise Theory And Applications To Finance (2003)Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)The Random Character of Stock Market Prices (1968)The variation of certain speculative prices (1997)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)Stochastic evolution equations with fractional Brownian motion (2003)On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility (2007)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Central limit theorems for sequences of multiple stochastic integrals (2005)
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146 cited
  • 1999On Fractional Brownian Processes98 cited
  • Cited by

    • 2004Skorohod integration and stochastic calculus beyond the fractional Brownian scale50 cited
    • 2009Stochastic calculus with respect to fractional Brownian motion49 cited
    • 2011Itô's formula for a sub-fractional Brownian motion44 cited
    • 2003Itô Formula and Local Time for the Fractional Brownian Sheet37 cited
    • 2018Pathwise stochastic calculus with local times34 cited
    • 2007MULTIDIMENSIONAL BIFRACTIONAL BROWNIAN MOTION: ITÔ AND TANAKA FORMULAS33 cited
    • 2010Local time and Tanaka formula for a Volterra-type multifractional Gaussian process29 cited
    • 2005Regularity of the Local Time for the d-dimensional Fractional Brownian Motion with N-parameters29 cited
    • 2008Integration with Respect to Fractional Local Time with Hurst Index 1/2 < H < 127 cited
    • 2005Ito's- and Tanaka's-type formulae for the stochastic heat equation: The linear case26 cited
    • 2005Some Processes Associated with Fractional Bessel Processes25 cited
    • 2005Weighted Local Time for Fractional Brownian Motion and Applications to Finance25 cited