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Exact maximum likelihood estimator for drift fractional Brownian motion at discrete observation
7 references·5 citing·30 second hop
Exact maximum likelihood estimator for drift fractional Brownian motion at discrete observation (2011)Exact maximum likelihood estimator for dr…Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Parameter estimation for frac…Stein’s method and exact Berry–Esseen asymptotics for functionals of Gaussian fields (2009)Stein’s method and exact Berr…Stochastic Calculus for Fractional Brownian Motion and Applications (2008)Stochastic Calculus for Fract…Central limit theorems for multiple stochastic integrals and Malliavin calculus (2007)Central limit theorems for mu…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Statistics for Long-Memory Processes (1997)Statistics for Long-Memory Pr…Statistics for Long-Memory Processes. (1996)Statistics for Long-Memory Pr…Maximum likelihood estimators from discrete data modeled by mixed fractional Brownian motion with application to the Nordic stock markets (2020)Maximum likelihood estimators…Parameter estimations for the sub-fractional Brownian motion with drift at discrete observation (2015)Parameter estimations for the…Parameter identification for the discretely observed geometric fractional Brownian motion (2013)Parameter identification for …Estimators for the Drift of Subfractional Brownian Motion (2013)Estimators for the Drift of S…Estimation of change point for switching fractional diffusion processes (2013)Estimation of change point fo…Stochastic Calculus with Respect to Gaussian Processes (2001)Long‐Memory Time Series (2006)Multiple Wiener Integral (1951)Central limit theorems for sequences of multiple stochastic integrals (2005)Stein’s method and Normal approximation of Poisson functionals (2010)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)Parameter estimation for fractional Ornstein–Uhlenbeck processes at discrete observation (2011)Parameter estimation for fractional Ornstein–Uhlenbeck processes of general Hurst parameter (2017)Modeling and forecasting realized volatility with the fractional Ornstein–Uhlenbeck process (2021)A series expansion of fractional Brownian motion (2004)Some properties of the sub-fractional Brownian motion (2006)On the Wiener integral with respect to a sub-fractional Brownian motion on an interval (2008)On some maximal and integral inequalities for sub-fractional Brownian motion (2016)Stein’s method on Wiener chaos (2008)Cumulants on the Wiener space (2009)Second order Poincaré inequalities and CLTs on Wiener space (2009)The optimal fourth moment theorem (2015)The Pricing of Options and Corporate Liabilities (1973)Introduction to Econophysics (1999)An Introduction to Econophysics: Correlations and Complexity in Finance (2000)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)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)A note on the use of fractional Brownian motion for financial modeling (2012)Wavelet analysis of long-range-dependent traffic (1998)The Distribution of Realized Exchange Rate Volatility (2001)Volatility Is Rough (2018)Heterogeneous Information Arrivals and Return Volatility Dynamics: Uncovering the Long-Run in High Frequency Returns (1997)A wavelet-based joint estimator of the parameters of long-range dependence (1999)Political Choice in Britain (2004)
this work references cited by second hop

References

  • 1996Statistics for Long-Memory Processes.2,708 cited
  • 2006The Malliavin Calculus and Related Topics2,548 cited
  • 2008Stochastic Calculus for Fractional Brownian Motion and Applications1,087 cited
  • 1997Statistics for Long-Memory Processes606 cited
  • 2010Parameter estimation for fractional Ornstein–Uhlenbeck processes299 cited
  • 2007Central limit theorems for multiple stochastic integrals and Malliavin calculus221 cited
  • 2009Stein’s method and exact Berry–Esseen asymptotics for functionals of Gaussian fields96 cited

Cited by

  • 2013Parameter identification for the discretely observed geometric fractional Brownian motion25 cited
  • 2013Estimators for the Drift of Subfractional Brownian Motion20 cited
  • 2015Parameter estimations for the sub-fractional Brownian motion with drift at discrete observation17 cited
  • 2020Maximum likelihood estimators from discrete data modeled by mixed fractional Brownian motion with application to the Nordic stock markets15 cited
  • 2013Estimation of change point for switching fractional diffusion processes13 cited

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