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Regularization and integral representations of Hermite processes
9 references·3 citing·27 second hop
Regularization and integral representations of Hermite processes (2010)Regularization and integral representatio…Central and non-central limit theorems for weighted power variations of fractional Brownian motion (2010)Central and non-central limit…Stochastic Calculus for Fractional Brownian Motion and Related Processes (2008)Stochastic Calculus for Fract…Stochastic Calculus for Fractional Brownian Motion and Applications (2008)Stochastic Calculus for Fract…Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion (2008)Error bounds on the non-norma…Analysis of the Rosenblatt process (2008)Analysis of the Rosenblatt pr…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Theory and applications of long-range dependence (2003)Theory and applications of lo…Convergence of integrated processes of arbitrary Hermite rank (1979)Convergence of integrated pro…Weak convergence to fractional brownian motion and to the rosenblatt process (1975)Weak convergence to fractiona…Power of change-point tests for long-range dependent data (2017)Power of change-point tests f…Generalized Hermite processes, discrete chaos and limit theorems (2014)Generalized Hermite processes…Benoît Mandelbrot and Fractional Brownian Motion (2013)Benoît Mandelbrot and Fractio…Fractional Brownian Motions, Fractional Noises and Applications (1968)Multiple Wiener Integral (1951)Alternative forms of fractional Brownian motion (1999)Modelling Nonlinear Economic Time Series (2010)The Malliavin Calculus and Related Topics (1995)Variations and estimators for the selfsimilarity order through Malliavin calculus (2007)Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions (2016)Stein’s method on Wiener chaos (2008)Stein's Method Meets Malliavin Calculus: A Short Survey With New Estimates (2010)ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL (2018)Gaussian Limits for Vector-valued Multiple Stochastic Integrals (2004)The optimal fourth moment theorem (2015)Parameter estimation for fractional Ornstein–Uhlenbeck processes of general Hurst parameter (2017)Robustness of the rescaled range R/S in the measurement of noncyclic long run statistical dependence (1969)On the power of the KPSS test of stationarity against fractionally-integrated alternatives (1996)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Stochastic Calculus with Respect to Gaussian Processes (2001)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem (2007)Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)A note on the use of fractional Brownian motion for financial modeling (2012)Fractional stochastic differential equations with applications to finance (2012)Hybrid scheme for Brownian semistationary processes (2017)Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion (2019)Volatility Clustering in Financial Markets: Empirical Facts and Agent-Based Models (2006)Bootstrap for Empirical Multifractal Analysis (2007)Interaction-dominant dynamics in human cognition: Beyond 1/ƒα fluctuation. (2010)
this work references cited by second hop

References

  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 2008Stochastic Calculus for Fractional Brownian Motion and Applications1,065 cited
  • 2003Theory and applications of long-range dependence989 cited
  • 2008Stochastic Calculus for Fractional Brownian Motion and Related Processes922 cited
  • 1975Weak convergence to fractional brownian motion and to the rosenblatt process794 cited
  • 1979Convergence of integrated processes of arbitrary Hermite rank566 cited
  • 2008Analysis of the Rosenblatt process225 cited
  • 2010Central and non-central limit theorems for weighted power variations of fractional Brownian motion127 cited
  • 2008Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion72 cited

Cited by

  • 2014Generalized Hermite processes, discrete chaos and limit theorems43 cited
  • 2013Benoît Mandelbrot and Fractional Brownian Motion34 cited
  • 2017Power of change-point tests for long-range dependent data18 cited

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