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On fractional Ornstein-Uhlenbeck processes
7 references·13 citing·31 second hop
On fractional Ornstein-Uhlenbeck processes (2011)On fractional Ornstein-Uhlenbeck processesFractional Ornstein-Uhlenbeck processes (2003)Fractional Ornstein-Uhlenbeck…Integration questions related to fractional Brownian motion (2000)Integration questions related…Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Analysis of the Fr…Integration with respect to fractal functions and stochastic calculus. I (1998)Integration with respect to f…Statistics for Long-Memory Processes. (1996)Statistics for Long-Memory Pr…Statistics for Long-Memory Processes. (1996)Statistics for Long-Memory Pr…On the prediction of fractional Brownian motion (1996)On the prediction of fraction…Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean (2023)Moderate Deviations for Param…A GMM approach to estimate the roughness of stochastic volatility (2022)A GMM approach to estimate th…Fractional Ornstein-Uhlenbeck Process with Stochastic Forcing, and its Applications (2019)Fractional Ornstein-Uhlenbeck…Option pricing under fast‐varying long‐memory stochastic volatility (2018)Option pricing under fast‐var…Optimal rates for parameter estimation of stationary Gaussian processes (2018)Optimal rates for parameter e…Optimal portfolio under fractional stochastic environment (2018)Optimal portfolio under fract…Large Deviation Principle for Volterra Type Fractional Stochastic Volatility Models (2018)Large Deviation Principle for…Parameter estimation for the Langevin equation with stationary-increment Gaussian noise (2017)Parameter estimation for the …Least squares estimator of fractional Ornstein–Uhlenbeck processes with periodic mean (2017)Least squares estimator of fr…Correction to Black--Scholes Formula Due to Fractional Stochastic Volatility (2017)Correction to Black--Scholes …Parameter estimation based on discrete observations of fractional Ornstein–Uhlenbeck process of the second kind (2014)Parameter estimation based on…Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package (2012)Parameter estimation for the …Quadratic Variations along Irregular Subdivisions for Gaussian Processes (2005)Quadratic Variations along Ir…Fractional Brownian Motions, Fractional Noises and Applications (1968)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)Optimal Portfolio under Fast Mean-Reverting Fractional Stochastic Environment (2018)Short-Term At-the-Money Asymptotics under Stochastic Volatility Models (2018)Multiple Wiener Integral (1951)Stochastic Calculus with Respect to Gaussian Processes (2001)Differential equations driven by fractional Brownian motion (2002)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)Stochastic integration with respect to fractional brownian motion (2003)Stochastic integration with respect to the fractional Brownian motion (2003)Analysis of the Rosenblatt process (2008)Stochastic Integration and Differential Equations (1990)Out of sample forecasts of quadratic variation (2008)Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Simulation of Stationary Gaussian Processes in [0, 1]d (1994)Asymptotic properties of MLE for partially observed fractional diffusion system (2009)Parameter estimation for a partially observed Ornstein–Uhlenbeck process with long-memory noise (2016)A storage model with self-similar input (1994)Itô′s formula with respect to fractional Brownian motion and its application (1996)Fractional Lévy processes with an application to long memory moving average processes (2006)Central limit theorems for sequences of multiple stochastic integrals (2005)The Malliavin Calculus and Related Topics (2006)Statistical inference for Vasicek-type model driven by Hermite processes (2018)Berry-Esséen bounds for parameter estimation of general Gaussian processes (2019)FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)Wavelet analysis of long-range-dependent traffic (1998)Statistical properties of the volatility of price fluctuations (1999)The Distribution of Realized Exchange Rate Volatility (2001)Scaling of the distribution of fluctuations of financial market indices (1999)Robust dynamic classes revealed by measuring the response function of a social system (2008)
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  • 1999Stochastic Analysis of the Fractional Brownian Motion744 cited
  • 1998Integration with respect to fractal functions and stochastic calculus. I589 cited
  • 2003Fractional Ornstein-Uhlenbeck processes418 cited
  • 2000Integration questions related to fractional Brownian motion357 cited
  • 1996On the prediction of fractional Brownian motion205 cited

Cited by

  • 2012Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package76 cited
  • 2018Optimal rates for parameter estimation of stationary Gaussian processes51 cited
  • 2017Correction to Black--Scholes Formula Due to Fractional Stochastic Volatility46 cited
  • 2014Parameter estimation based on discrete observations of fractional Ornstein–Uhlenbeck process of the second kind43 cited
  • 2022A GMM approach to estimate the roughness of stochastic volatility42 cited
  • 2023Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean36 cited
  • 2005Quadratic Variations along Irregular Subdivisions for Gaussian Processes36 cited

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2017
Least squares estimator of fractional Ornstein–Uhlenbeck processes with periodic mean
29 cited
  • 2018Optimal portfolio under fractional stochastic environment28 cited
  • 2017Parameter estimation for the Langevin equation with stationary-increment Gaussian noise28 cited
  • 2018Large Deviation Principle for Volterra Type Fractional Stochastic Volatility Models28 cited
  • 2019Fractional Ornstein-Uhlenbeck Process with Stochastic Forcing, and its Applications25 cited
  • 2018Option pricing under fast‐varying long‐memory stochastic volatility22 cited