On Dantzig and Lasso estimators of the drift in a high dimensional Ornstein-Uhlenbeck model
From MaRDI portal
Publication:2219216
DOI10.1214/20-EJS1775zbMath1457.62246arXiv2008.00847MaRDI QIDQ2219216
Dmytro Marushkevych, Gabriela Ciołek, Mark Podolskij
Publication date: 19 January 2021
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.00847
Estimation in multivariate analysis (62H12) Ridge regression; shrinkage estimators (Lasso) (62J07) Gaussian processes (60G15) Markov processes: estimation; hidden Markov models (62M05)
Related Items (3)
Mean first exit times of Ornstein–Uhlenbeck processes in high-dimensional spaces ⋮ Semiparametric estimation of McKean-Vlasov SDEs ⋮ On Lasso and Slope drift estimators for Lévy-driven Ornstein-Uhlenbeck processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularized estimation in sparse high-dimensional time series models
- The Adaptive Lasso and Its Oracle Properties
- A probabilistic approach to mean field games with major and minor players
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Penalized maximum likelihood estimation and effective dimension
- Statistics for high-dimensional data. Methods, theory and applications.
- Discretization of processes.
- Parametric estimation. Finite sample theory
- Density formula and concentration inequalities with Malliavin calculus
- A note on limit theorems for multivariate martingales
- Exponential families of stochastic processes
- Statistical inference for ergodic diffusion processes.
- Sparse inference of the drift of a high-dimensional Ornstein-Uhlenbeck process
- The Dantzig selector for a linear model of diffusion processes
- Simultaneous analysis of Lasso and Dantzig selector
- The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
- Asymptotic Likelihood Based Inference for Co-integrated Homogenous Gaussian Diffusions
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- ADAPTIVE LASSO-TYPE ESTIMATION FOR MULTIVARIATE DIFFUSION PROCESSES
- Support Recovery for the Drift Coefficient of High-Dimensional Diffusions
- The Malliavin Calculus and Related Topics
- DASSO: Connections Between the Dantzig Selector and Lasso
- Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
- The dantzig selector for censored linear regression models
This page was built for publication: On Dantzig and Lasso estimators of the drift in a high dimensional Ornstein-Uhlenbeck model