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Fractional Ornstein-Uhlenbeck processes
1 references·16 citing·37 second hop
Fractional Ornstein-Uhlenbeck processes (2003)Fractional Ornstein-Uhlenbeck processesStochastic Integration and Differential Equations (1990)Stochastic Integration and Di…Estimating Spot Volatility with High-Frequency Financial Data (2022)Estimating Spot Volatility wi…Modeling and forecasting realized volatility with the fractional Ornstein–Uhlenbeck process (2021)Modeling and forecasting real…Parameter estimation for fractional Ornstein–Uhlenbeck processes of general Hurst parameter (2017)Parameter estimation for frac…Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package (2012)Parameter estimation for the …Parameter estimation for fractional Ornstein–Uhlenbeck processes at discrete observation (2011)Parameter estimation for frac…On fractional Ornstein-Uhlenbeck processes (2011)On fractional Ornstein-Uhlenb…Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Parameter estimation for frac…Estimation and pricing under long-memory stochastic volatility (2010)Estimation and pricing under …Out of sample forecasts of quadratic variation (2008)Out of sample forecasts of qu…Analysis of the Rosenblatt process (2008)Analysis of the Rosenblatt pr…Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem (2007)Wiener Integrals with Respect…Statistical aspects of the fractional stochastic calculus (2007)Statistical aspects of the fr…Sample path properties of bifractional Brownian motion (2007)Sample path properties of bif…Stochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H (2006)Stochastic delay differential…2005): Statistical Aspects of the fractional stochastic calculus (2005)2005): Statistical Aspects of…Equivalence of Volterra processes (2003)Equivalence of Volterra proce…Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)The Malliavin Calculus and Related Topics (2006)Stochastic Calculus for Fractional Brownian Motion and Applications (2008)Long-Term Memory in Stock Market Prices (1991)Statistics for Long-Memory Processes. (1996)Pricing currency options in the mixed fractional Brownian motion (2013)Pricing Currency Option in a Mixed Fractional Brownian Motion with Jumps Environment (2014)Weak convergence to fractional brownian motion and to the rosenblatt process (1975)The Malliavin Calculus and Related Topics (1995)Variations and estimators for the selfsimilarity order through Malliavin calculus (2007)Central and non-central limit theorems for weighted power variations of fractional Brownian motion (2010)Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions (2016)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)The Behavior of Stock-Market Prices (1965)A Theory of the Term Structure of Interest Rates (1985)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Estimating stochastic volatility models using daily returns and realized volatility simultaneously (2008)Realizing smiles: Options pricing with realized volatility (2012)Economic policy uncertainty and the Chinese stock market volatility: Novel evidence (2019)An Intertemporal Capital Asset Pricing Model (1973)The Pricing of Options and Corporate Liabilities (1973)How does news sentiment impact asset volatility? Evidence from long memory and regime-switching approaches (2013)Long memory and regime switching: A simulation study on the Markov regime-switching ARFIMA model (2015)ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL (2018)Quadratic variations and estimation of the local Hölder index of a Gaussian process (1997)Integration questions related to fractional Brownian motion (2000)Central limit theorems for sequences of multiple stochastic integrals (2005)Stochastic differential equations and applications (2008)ASYMPTOTIC PROPERTIES OF THE MAXIMUM LIKELIHOOD ESTIMATOR FOR STOCHASTIC PARABOLIC EQUATIONS WITH ADDITIVE FRACTIONAL BROWNIAN MOTION (2009)Variations and Hurst index estimation for a Rosenblatt process using longer filters (2009)Generalized Hermite processes, discrete chaos and limit theorems (2014)Statistical inference for Vasicek-type model driven by Hermite processes (2018)Arbitrage Theory in Continuous Time (1998)Term Structures of Credit Spreads with Incomplete Accounting Information (2001)Over-the-Counter Markets (2004)
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References

  • 1990Stochastic Integration and Differential Equations1,195 cited

Cited by

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  • 20052005): Statistical Aspects of the fractional stochastic calculus123 cited
  • 2007Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem109 cited
  • 2010Estimation and pricing under long-memory stochastic volatility109 cited
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  • 2007Sample path properties of bifractional Brownian motion93 cited
  • 2022Estimating Spot Volatility with High-Frequency Financial Data86 cited
  • 2021Modeling and forecasting realized volatility with the fractional Ornstein–Uhlenbeck process80 cited
  • 2006Stochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H79 cited
  • 2011

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On fractional Ornstein-Uhlenbeck processes
78 cited
  • 2012Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package76 cited
  • 2003Equivalence of Volterra processes65 cited