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Berry–Esséen bounds for the least squares estimator for discretely observed fractional Ornstein–Uhlenbeck processes
10 references·1 citing·31 second hop
Berry–Esséen bounds for the least squares estimator for discretely observed fractional Ornstein–Uhlenbeck processes (2013)Berry–Esséen bounds for the least squares…Parameter Estimation for Fractional Ornstein–Uhlenbeck Processes with Discrete Observations (2013)Parameter Estimation for Frac…Parameter Estimation for Fractional Ornstein-Uhlenbeck Processes: Non-ergodic Case (2011)Parameter Estimation for Frac…Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Parameter estimation for frac…Stein’s method on Wiener chaos (2008)Stein’s method on Wiener chaosStatistical aspects of the fractional stochastic calculus (2007)Statistical aspects of the fr…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…2005): Statistical Aspects of the fractional stochastic calculus (2005)2005): Statistical Aspects of…Stochastic integration with respect to the fractional Brownian motion (2003)Stochastic integration with r…Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process (2002)Statistical Analysis of the F…Integration questions related to fractional Brownian motion (2000)Integration questions related…Consistency of the drift parameter estimator for the discretized fractional Ornstein–Uhlenbeck process with Hurst index H ∈ (0, 12) (2015)Consistency of the drift para…Central limit theorems for sequences of multiple stochastic integrals (2005)A least square-type procedure for parameter estimation in stochastic differential equations with additive fractional noise (2013)Parameter estimation for a partially observed Ornstein–Uhlenbeck process with long-memory noise (2016)Optimal rates for parameter estimation of stationary Gaussian processes (2018)An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)Parameter estimation for fractional Ornstein–Uhlenbeck processes of general Hurst parameter (2017)Stochastic Calculus for Fractional Brownian Motion and Applications (2008)Parameter estimation for reflected Ornstein–Uhlenbeck processes with discrete observations (2014)Integration with respect to fractal functions and stochastic calculus. I (1998)Stochastic integration with respect to fractional brownian motion (2003)Analysis of the Rosenblatt process (2008)The Malliavin Calculus and Related Topics (1995)Stochastic Analysis (1997)Density Formula and Concentration Inequalities with Malliavin Calculus (2009)Multivariate normal approximation using Stein’s method and Malliavin calculus (2010)Stein’s method and Normal approximation of Poisson functionals (2010)Fractional Brownian Motions, Fractional Noises and Applications (1968)An Itô formula for generalized functionals of a fractional Brownian motion with arbitrary Hurst parameter (2003)Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem (2007)Continuous Martingales and Brownian Motion (1999)Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach (2002)Least squares estimator for non-ergodic Ornstein–Uhlenbeck processes driven by Gaussian processes (2016)Stochastic differential equations and applications (2008)ASYMPTOTIC PROPERTIES OF THE MAXIMUM LIKELIHOOD ESTIMATOR FOR STOCHASTIC PARABOLIC EQUATIONS WITH ADDITIVE FRACTIONAL BROWNIAN MOTION (2009)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)Parameter estimation for fractional Ornstein–Uhlenbeck processes at discrete observation (2011)Modeling and forecasting realized volatility with the fractional Ornstein–Uhlenbeck process (2021)
this work references cited by second hop

References

  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 2008Stein’s method on Wiener chaos415 cited
  • 2000Integration questions related to fractional Brownian motion357 cited
  • 2010Parameter estimation for fractional Ornstein–Uhlenbeck processes299 cited
  • 2002Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process267 cited
  • 2003Stochastic integration with respect to the fractional Brownian motion228 cited
  • 2007Statistical aspects of the fractional stochastic calculus128 cited
  • 20052005): Statistical Aspects of the fractional stochastic calculus123 cited
  • 2011Parameter Estimation for Fractional Ornstein-Uhlenbeck Processes: Non-ergodic Case55 cited
  • 2013Parameter Estimation for Fractional Ornstein–Uhlenbeck Processes with Discrete Observations53 cited

Cited by

  • 2015Consistency of the drift parameter estimator for the discretized fractional Ornstein–Uhlenbeck process with Hurst index H ∈ (0, 12)27 cited

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