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Sharp Large Deviations for the Fractional Ornstein–Uhlenbeck Process
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Sharp Large Deviations for the Fractional Ornstein–Uhlenbeck Process (2011)Sharp Large Deviations for the Fractional…Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Parameter estimation for frac…Asymptotic properties of MLE for partially observed fractional diffusion system (2009)Asymptotic properties of MLE …Transformation formulas for fractional Brownian motion (2006)Transformation formulas for f…Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process (2002)Statistical Analysis of the F…An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)An Elementary Approach to a G…Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean (2023)Moderate Deviations for Param…Estimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean (2016)Estimating drift parameters i…Parameter estimation based on discrete observations of fractional Ornstein–Uhlenbeck process of the second kind (2014)Parameter estimation based on…Maximum likelihood estimation for the non-ergodic fractional Ornstein–Uhlenbeck process (2014)Maximum likelihood estimation…Distributions of the maximum likelihood and minimum contrast estimators associated with the fractional Ornstein–Uhlenbeck process (2013)Distributions of the maximum …Minimum contrast estimation in fractional Ornstein-Uhlenbeck process: Continuous and discrete sampling (2011)Minimum contrast estimation i…Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)2005): Statistical Aspects of the fractional stochastic calculus (2005)Statistical aspects of the fractional stochastic calculus (2007)Parameter estimation for fractional Ornstein–Uhlenbeck processes of general Hurst parameter (2017)Fractional Brownian Motions, Fractional Noises and Applications (1968)Theory and applications of long-range dependence (2003)Representation Formulae for the Fractional Brownian Motion (2010)Bounds for expected maxima of Gaussian processes and their discrete approximations (2015)Theory of Martingales (1989)Quadratic variations and estimation of the local Hölder index of a Gaussian process (1997)THE MALLIAVIN CALCULUS AND RELATED TOPICS (Probability and its Applications) (1997)Stochastic Calculus with Respect to Gaussian Processes (2001)Fractional Ornstein-Uhlenbeck processes (2003)Drift parameter estimation for fractional Ornstein–Uhlenbeck process of the second kind (2013)Least squares estimator of fractional Ornstein–Uhlenbeck processes with periodic mean (2017)Parameter estimation for the Langevin equation with stationary-increment Gaussian noise (2017)The Malliavin Calculus and Related Topics (2006)Stochastic Calculus for Fractional Brownian Motion and Applications (2008)Parameter estimation for fractional Ornstein–Uhlenbeck processes at discrete observation (2011)Modeling and forecasting realized volatility with the fractional Ornstein–Uhlenbeck process (2021)Continuous Martingales and Brownian Motion (1999)Limit Theorems for Stochastic Processes (2003)Stochastic integration with respect to fractional brownian motion (2003)Long Range Dependence (2004)Integration with respect to fractal functions and stochastic calculus. I (1998)Almost sure and moment stability properties of fractional order Black-Scholes model (2013)Central limit theorems for sequences of multiple stochastic integrals (2005)Consistency of the drift parameter estimator for the discretized fractional Ornstein–Uhlenbeck process with Hurst index H ∈ (0, 12) (2015)Volatility Puzzle: Long Memory or Antipersistency (2022)
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References

  • 1999An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions401 cited
  • 2010Parameter estimation for fractional Ornstein–Uhlenbeck processes299 cited
  • 2002Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process267 cited
  • 2006Transformation formulas for fractional Brownian motion82 cited
  • 2009Asymptotic properties of MLE for partially observed fractional diffusion system55 cited

Cited by

  • 2013Distributions of the maximum likelihood and minimum contrast estimators associated with the fractional Ornstein–Uhlenbeck process45 cited
  • 2014Parameter estimation based on discrete observations of fractional Ornstein–Uhlenbeck process of the second kind43 cited
  • 2023Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean36 cited
  • 2014Maximum likelihood estimation for the non-ergodic fractional Ornstein–Uhlenbeck process35 cited
  • 2011Minimum contrast estimation in fractional Ornstein-Uhlenbeck process: Continuous and discrete sampling34 cited
  • 2016Estimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean27 cited

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