Sup-norm adaptive drift estimation for multivariate nonreversible diffusions
From MaRDI portal
Publication:2112825
DOI10.1214/22-AOS2237OpenAlexW4312072444MaRDI QIDQ2112825
Claudia Strauch, Cathrine Aeckerle-Willems
Publication date: 12 January 2023
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/annals-of-statistics/volume-50/issue-6/Sup-norm-adaptive-drift-estimation-for-multivariate-nonreversible-diffusions/10.1214/22-AOS2237.full
Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Diffusion processes (60J60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian process methods for one-dimensional diffusions: optimal rates and adaptation
- On the Bernstein-von Mises phenomenon for nonparametric Bayes procedures
- Sharp adaptive estimation of the drift function for ergodic diffusions
- Invariant density adaptive estimation for ergodic jump-diffusion processes over anisotropic classes
- Convergence rates of posterior distributions for Brownian semimartingale models
- An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation
- Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
- Statistical inference for ergodic diffusion processes.
- Nonparametric estimators which can be ``plugged-in.
- Adaptive estimation in diffusion processes.
- Nonparametric estimation of scalar diffusions based on low frequency data
- Asymptotically exact minimax estimation in sup-norm for anisotropic Hölder classes
- Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
- Adaptive drift estimation for nonparametric diffusion model.
- On the Poisson equation and diffusion approximation. I
- Applications of the van Trees inequality: A Bayesian Cramér-Rao bound
- Weak convergence and empirical processes. With applications to statistics
- Posterior consistency via precision operators for Bayesian nonparametric drift estimation in SDEs
- Consistent nonparametric Bayesian inference for discretely observed scalar diffusions
- Efficient density estimation for ergodic diffusion processes
- Drift estimation on non compact support for diffusion models
- Rate of estimation for the stationary distribution of jump-processes over anisotropic Hölder classes
- Concentration of scalar ergodic diffusions and some statistical implications
- Adaptive invariant density estimation for continuous-time mixing Markov processes under sup-norm risk
- Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions
- Bernstein-von Mises theorems for statistical inverse problems. II: Compound Poisson processes
- Sharp adaptive drift estimation for ergodic diffusions: the multivariate case
- Moment estimation for ergodic diffusion processes
- Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
- A representation formula for transition probability densities of diffusions and applications
- Tail bounds via generic chaining
- Donsker theorems for diffusions: necessary and sufficient conditions
- Exact adaptive pointwise drift estimation for multidimensional ergodic diffusions
- Yet Another Look at Harris’ Ergodic Theorem for Markov Chains
- Adaptive confidence bands for Markov chains and diffusions: Estimating the invariant measure and the drift
- Asymptotic Statistics
- An Asymptotically Minimax Regression Estimator in the Uniform Norm up to Exact Constant
- Introduction to nonparametric estimation
- On efficient estimation of invariant density for ergodic diffusion processes
This page was built for publication: Sup-norm adaptive drift estimation for multivariate nonreversible diffusions