Nonparametric inference for fractional diffusion
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Publication:2448715
DOI10.3150/13-BEJ509zbMath1400.62069arXiv1111.0446OpenAlexW3105763466MaRDI QIDQ2448715
Publication date: 5 May 2014
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.0446
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Fractional processes, including fractional Brownian motion (60G22) Diffusion processes (60J60)
Related Items (11)
Least squares estimation for the drift parameters in the sub-fractional Vasicek processes ⋮ Trajectory fitting estimation for stochastic differential equations driven by fractional Brownian motion ⋮ Parameter estimation for a discrete time model driven by fractional Poisson process ⋮ Unnamed Item ⋮ Nadaraya-Watson estimators for reflected stochastic processes ⋮ Nonparametric estimation of trend function for stochastic differential equations driven by a bifractional Brownian motion ⋮ Nonparametric estimation for i.i.d. paths of fractional SDE ⋮ Projection estimators of the stationary density of a differential equation driven by the fractional Brownian motion ⋮ Nonparametric estimation of the trend in reflected fractional SDE ⋮ Unnamed Item ⋮ Nonparametric estimation in fractional SDE
Cites Work
- Unnamed Item
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- Deviation probability bounds for fractional martingales and related remarks
- Nonparametric estimation of trend for stochastic differential equations driven by fractional Brownian motion
- Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion
- Parameter estimation for rough differential equations
- Uniform deterministic equivalent of additive functionals and non-parametric drift estimation for one-dimensional recurrent diffusions
- Discretization of stationary solutions of stochastic systems driven by fractional Brownian motion
- Quadratic variations along irregular subdivisions for Gaussian processes
- On Nummelin splitting for continuous time Harris recurrent Markov processes and application to kernel estimation for multi-dimensional diffusions
- Fractional martingales and characterization of the fractional Brownian motion
- Parameter estimation for fractional Ornstein-Uhlenbeck processes
- A note on limit theorems for multivariate martingales
- An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
- Quadratic variations and estimation of the local Hölder index of a Gaussian process
- Statistical inference for ergodic diffusion processes.
- A multivariate central limit theorem for continuous local martingales
- Ergodicity of stochastic differential equations driven by fractional Brownian motion
- Adaptive drift estimation for nonparametric diffusion model.
- Statistical analysis of the fractional Ornstein--Uhlenbeck type process
- On inference for fractional differential equations
- A least square-type procedure for parameter estimation in stochastic differential equations with additive fractional noise
- Parameter estimation in stochastic differential equations.
- Stochastic calculus for fractional Brownian motion and related processes.
- Convergence results for multivariate martingales
- Regularization of differential equations by fractional noise.
- Statistical aspects of the fractional stochastic calculus
- The Malliavin Calculus and Related Topics
- Statistical Inference for Fractional Diffusion Processes
- Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
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