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Asymptotic properties of MLE for partially observed fractional diffusion system
8 references·4 citing·36 second hop
Asymptotic properties of MLE for partially observed fractional diffusion system (2009)Asymptotic properties of MLE for partiall…Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package (2012)Parameter estimation for the …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…Linear estimation of self-similar processes via Lamperti's transformation (2000)Linear estimation of self-sim…An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)An Elementary Approach to a G…Filtering and parameter estimation in a simple linear system driven by a fractional Brownian motion (1998)Filtering and parameter estim…Quadratic variations and estimation of the local Hölder index of a Gaussian process (1997)Quadratic variations and esti…Theory of Martingales (1989)Theory of MartingalesEstimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean (2016)Estimating drift parameters i…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 …Sharp Large Deviations for the Fractional Ornstein–Uhlenbeck Process (2011)Sharp Large Deviations for th…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)Stock market prices and long-range dependence (1999)About the linear-quadratic regulator problem under a fractional Brownian perturbation (2003)Volatility Is Rough (2014)Forecasting with fractional Brownian motion: a financial perspective (2022)A storage model with self-similar input (1994)Statistics for Long-Memory Processes. (1996)Parameter Estimation and Optimal Filtering for Fractional Type Stochastic Systems (2000)Stieltjes Integrals of Hölder Continuous Functions with Applications to Fractional Brownian Motion (2000)OPTIMAL CONSUMPTION AND PORTFOLIO IN A BLACK–SCHOLES MARKET DRIVEN BY FRACTIONAL BROWNIAN MOTION (2003)Simulation of Stationary Gaussian Processes in [0, 1]d (1994)Fractional Ornstein-Uhlenbeck processes (2003)Parameter estimation based on discrete observations of fractional Ornstein–Uhlenbeck process of the second kind (2014)Parameter estimation for a partially observed Ornstein–Uhlenbeck process with long-memory noise (2016)Optimal rates for parameter estimation of stationary Gaussian processes (2018)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)Parameter estimation for fractional Ornstein–Uhlenbeck processes (2010)Moderate Deviations for Parameter Estimation in the Fractional Ornstein-Uhlenbeck Processes with Periodic Mean (2023)Bootstrap for Empirical Multifractal Analysis (2007)Estimators of fractal dimension: Assessing the roughness of time series and spatial data (2010)Estimators of Fractal Dimension: Assessing the Roughness of Time Series and Spatial Data (2012)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)Mixed Fractional Brownian Motion (2001)Arbitrage in fractional Brownian motion models (2003)
this work references cited by second hop

References

  • 1989Theory of Martingales956 cited
  • 1999An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions401 cited
  • 1997Quadratic variations and estimation of the local Hölder index of a Gaussian process357 cited
  • 2002Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process267 cited
  • 1998Filtering and parameter estimation in a simple linear system driven by a fractional Brownian motion97 cited
  • 2006Transformation formulas for fractional Brownian motion82 cited
  • 2000Linear estimation of self-similar processes via Lamperti's transformation82 cited
  • 2012Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package76 cited

Cited by

  • 2011Sharp Large Deviations for the Fractional Ornstein–Uhlenbeck Process52 cited
  • 2013Distributions of the maximum likelihood and minimum contrast estimators associated with the fractional Ornstein–Uhlenbeck process45 cited
  • 2014Maximum likelihood estimation for the non-ergodic fractional Ornstein–Uhlenbeck process35 cited
  • 2016Estimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean27 cited

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