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Parametric estimation for linear stochastic differential equations driven by fractional Brownian motion
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Parametric estimation for linear stochastic differential equations driven by fractional Brownian motion (2003)Parametric estimation for linear stochast…A series expansion of fractional Brownian motion (2004)A series expansion of fractio…Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process (2002)Statistical Analysis of the F…Semimartingales and Their Statistical Inference (2000)Semimartingales and Their Sta…Parameter Estimation and Optimal Filtering for Fractional Type Stochastic Systems (2000)Parameter Estimation and Opti…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…A strong law of large numbers for local martingales (1980)A strong law of large numbers…Quadratic variations for the fractional-colored stochastic heat equation (2014)Quadratic variations for the …Parametric estimation for sub-fractional Ornstein–Uhlenbeck process (2012)Parametric estimation for sub…Nonparametric estimation of trend for stochastic differential equations driven by fractional Brownian motion (2011)Nonparametric estimation of t…Drift parameter estimation in fractional diffusions driven by perturbed random walks (2010)Drift parameter estimation in…Theory of Martingales (1989)Stochastic Analysis of the Fractional Brownian Motion (1999)Approximating some Volterra type stochastic integrals with applications to parameter estimation (2003)Distributions of the maximum likelihood and minimum contrast estimators associated with the fractional Ornstein–Uhlenbeck process (2013)Maximum likelihood estimation for the non-ergodic fractional Ornstein–Uhlenbeck process (2014)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)Extending the Martingale Measure Stochastic Integral With Applications to Spatially Homogeneous S.P.D.E.'s (1999)Central limit theorems for sequences of multiple stochastic integrals (2005)The Malliavin Calculus and Related Topics (2006)Nonstationary self‐similar Gaussian processes as scaling limits of power‐law shot noise processes and generalizations of fractional Brownian motion (2019)Fractional Brownian Motions, Fractional Noises and Applications (1968)A storage model with self-similar input (1994)Statistics for Long-Memory Processes. (1996)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)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)Statistical inference for diffusion type processes (1999)Stochastic Calculus with Respect to Gaussian Processes (2001)Consistency of the drift parameter estimator for the discretized fractional Ornstein–Uhlenbeck process with Hurst index H ∈ (0, 12) (2015)Identification and system parameter Estimation (1975)Optimal estimation for semimartingales (1986)Quasi-least-squares estimation in semimartingale regression models (1986)Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models (1994)Un Cours sur les Intégrales Stochastiques (2002)Fractional Brownian motion, random walks and binary market models (2001)Parametric inference for discretely observed non-ergodic diffusions (2006)Test for Parameter Change in Diffusion Processes by Cusum Statistics Based on One-step Estimators (2006)A two-stage realized volatility approach to estimation of diffusion processes with discrete data (2008)Some properties of the sub-fractional Brownian motion (2006)On the Wiener integral with respect to a sub-fractional Brownian motion on an interval (2008)The stochastic wave equation with fractional noise: A random field approach (2010)
this work references cited by second hop

References

  • 1999An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions401 cited
  • 1980A strong law of large numbers for local martingales383 cited
  • 2002Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process267 cited
  • 2004A series expansion of fractional Brownian motion159 cited
  • 1998Filtering and parameter estimation in a simple linear system driven by a fractional Brownian motion97 cited
  • 2000Semimartingales and Their Statistical Inference82 cited
  • 2000Parameter Estimation and Optimal Filtering for Fractional Type Stochastic Systems69 cited

Cited by

  • 2012Parametric estimation for sub-fractional Ornstein–Uhlenbeck process47 cited
  • 2010Drift parameter estimation in fractional diffusions driven by perturbed random walks35 cited
  • 2014Quadratic variations for the fractional-colored stochastic heat equation29 cited
  • 2011Nonparametric estimation of trend for stochastic differential equations driven by fractional Brownian motion27 cited

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