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Least squares estimator for non-ergodic Ornstein–Uhlenbeck processes driven by Gaussian processes
5 references·5 citing·25 second hop
Least squares estimator for non-ergodic Ornstein–Uhlenbeck processes driven by Gaussian processes (2016)Least squares estimator for non-ergodic O…Selected Aspects of Fractional Brownian Motion (2012)Selected Aspects of Fractiona…Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Parameter estimation for frac…Statistical aspects of the fractional stochastic calculus (2007)Statistical aspects of the fr…2005): Statistical Aspects of the fractional stochastic calculus (2005)2005): Statistical Aspects of…Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process (2002)Statistical Analysis of the F…Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean (2023)Moderate Deviations for Param…Asymptotic theory for rough fractional Vasicek models (2019)Asymptotic theory for rough f…Optimal rates for parameter estimation of stationary Gaussian processes (2018)Optimal rates for parameter e…ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL (2018)ASYMPTOTIC THEORY FOR ESTIMAT…Least squares estimator of fractional Ornstein–Uhlenbeck processes with periodic mean (2017)Least squares estimator of fr…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)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)The Malliavin Calculus and Related Topics (1995)Continuous Martingales and Brownian Motion (1999)Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach (2002)ASYMPTOTIC PROPERTIES OF THE MAXIMUM LIKELIHOOD ESTIMATOR FOR STOCHASTIC PARABOLIC EQUATIONS WITH ADDITIVE FRACTIONAL BROWNIAN MOTION (2009)Fractional Ornstein-Uhlenbeck processes (2003)Central limit theorems for sequences of multiple stochastic integrals (2005)Statistical inference for Vasicek-type model driven by Hermite processes (2018)Stochastic Calculus with Respect to Gaussian Processes (2001)Fractional Brownian Motions, Fractional Noises and Applications (1968)An equilibrium characterization of the term structure (1977)Testing for a Unit Root in Time Series Regression (1988)Time Series Regression with a Unit Root (1987)Volatility Is Rough (2018)Stochastic differential equations and applications (2008)Science metrics on fractional calculus development since 1966 (2013)The optimal fourth moment theorem (2015)Short-time at-the-money skew and rough fractional volatility (2016)
this work references cited by second hop

References

  • 2010Parameter estimation for fractional Ornstein–Uhlenbeck processes299 cited
  • 2002Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process267 cited
  • 2012Selected Aspects of Fractional Brownian Motion255 cited
  • 2007Statistical aspects of the fractional stochastic calculus128 cited
  • 20052005): Statistical Aspects of the fractional stochastic calculus123 cited

Cited by

  • 2018ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL62 cited
  • 2018Optimal rates for parameter estimation of stationary Gaussian processes51 cited
  • 2023Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean36 cited
  • 2017Least squares estimator of fractional Ornstein–Uhlenbeck processes with periodic mean29 cited
  • 2019Asymptotic theory for rough fractional Vasicek models29 cited

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