Adaptive estimation of the stationary density of a stochastic differential equation driven by a fractional Brownian motion
DOI10.1007/s11203-020-09218-0zbMath1453.62439arXiv2003.05167OpenAlexW3035478554WikidataQ115380879 ScholiaQ115380879MaRDI QIDQ2194048
Fabien Panloup, Karine Bertin, Maylis Varvenne, Nicolas Klutchnikoff
Publication date: 25 August 2020
Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.05167
rate of convergencefractional Brownian motionstationary densitystochastic differential equation (SDE)adaptive density estimationnonparametric fractional diffusion model
Density estimation (62G07) Nonparametric hypothesis testing (62G10) Fractional processes, including fractional Brownian motion (60G22) Non-Markovian processes: estimation (62M09) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60)
Related Items (1)
Cites Work
- Unnamed Item
- Gaussian-type lower bounds for the density of solutions of SDEs driven by fractional Brownian motions
- On adaptive minimax density estimation on \(\mathbb R^d\)
- Transportation inequalities for stochastic differential equations driven by a fractional Brownian motion
- Nonparametric estimation of trend for stochastic differential equations driven by fractional Brownian motion
- Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
- On smoothed probability density estimation for stationary processes
- Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
- Parametric rates of nonparametric estimators and predictors for continuous time processes
- \(\mathbb{L}_p\) adaptive density estimation in a \(\beta\) mixing framework
- Ergodicity of stochastic differential equations driven by fractional Brownian motion
- Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
- Efficient density estimation for ergodic diffusion processes
- Adaptive density estimation on bounded domains under mixing conditions
- Pointwise adaptive estimation of a multivariate function
- Concentration inequalities for stochastic differential equations with additive fractional noise
- Nonparametric estimation in fractional SDE
- Pointwise adaptive estimation of the marginal density of a weakly dependent process
- Super optimal rates for nonparametric density estimation via projection estimators
- A version of Hörmander's theorem for the fractional Brownian motion
- Mathematical Statistics and Stochastic Processes
- Remarks on Some Nonparametric Estimates of a Density Function
- Nonparametric estimation of the derivatives of the stationary density for stationary processes
- On Estimation of a Probability Density Function and Mode
This page was built for publication: Adaptive estimation of the stationary density of a stochastic differential equation driven by a fractional Brownian motion