Relaxing the Gaussian assumption in shrinkage and SURE in high dimension
From MaRDI portal
Publication:2105194
DOI10.1214/22-AOS2208MaRDI QIDQ2105194
Adrien Saumard, Larry Goldstein, Max Fathi, Gesine D. Reinert
Publication date: 8 December 2022
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.01378
Asymptotic properties of parametric estimators (62F12) Robustness and adaptive procedures (parametric inference) (62F35)
Related Items (3)
Zero bias enhanced Stein couplings ⋮ Stein's density method for multivariate continuous distributions ⋮ Relaxing the Gaussian assumption in shrinkage and SURE in high dimension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poincaré inequalities and moment maps
- Moment estimates for convex measures
- Log-concavity and strong log-concavity: a review
- Probability problems connected with a certain integrodifferential inequality
- Fluctuations of eigenvalues and second order Poincaré inequalities
- From Stein's unbiased risk estimates to the method of generalized cross- validation
- Stein estimation under elliptical distributions
- Robust shrinkage estimators of the location parameter for elliptically symmetric distributions
- Optimal filtering of square-integrable signals in Gaussian noise
- Estimation of the mean of a multivariate normal distribution
- Lower variance bounds and a new proof of the central limit theorem
- Stein's method and the zero bias transformation with application to simple random sampling
- On minimax wavelet estimators
- Negative association of random variables, with applications
- Shrinkage estimation
- An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture
- Relaxing the Gaussian assumption in shrinkage and SURE in high dimension
- Existence of Stein kernels under a spectral gap, and discrepancy bounds
- Stein kernels and moment maps
- Stein's method, logarithmic Sobolev and transport inequalities
- Some Stein-type inequalities for multivariate elliptical distributions and applications
- Wavelet thresholding for nonnecessarily Gaussian noise: functionality
- \(L^1\) bounds in normal approximation
- Normal Approximations with Malliavin Calculus
- Adapting to Unknown Smoothness via Wavelet Shrinkage
- New Berry-Esseen and Wasserstein bounds in the CLT for non-randomly centered random sums by probabilistic methods
- Martingale-difference Gibbs random fields and central limit theorem
- Generalized SURE for Exponential Families: Applications to Regularization
- Robust Shrinkage Estimation of High-Dimensional Covariance Matrices
- Unbiased Risk Estimates for Singular Value Thresholding and Spectral Estimators
- On the Poincaré Constant of Log-Concave Measures
- Small ball probability estimates for log-concave measures
- All of Nonparametric Statistics
This page was built for publication: Relaxing the Gaussian assumption in shrinkage and SURE in high dimension