Confidence regions and minimax rates in outlier-robust estimation on the probability simplex
From MaRDI portal
Publication:2192314
DOI10.1214/20-EJS1731zbMath1447.62031arXiv1902.04650MaRDI QIDQ2192314
Amir-Hossein Bateni, Arnak S. Dalalyan
Publication date: 17 August 2020
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.04650
Estimation in multivariate analysis (62H12) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Robustness and adaptive procedures (parametric inference) (62F35) Minimax procedures in statistical decision theory (62C20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric median and robust estimation in Banach spaces
- Estimation of low rank density matrices: bounds in Schatten norms and other distances
- High dimensional robust M-estimation: asymptotic variance via approximate message passing
- A general decision theory for Huber's \(\epsilon\)-contamination model
- Sub-Gaussian mean estimators
- On the estimation of the mean of a random vector
- Bernstein polynomials and learning theory
- On adaptive inference and confidence bands
- Robust linear least squares regression
- Breakdown properties of location estimates based on halfspace depth and projected outlyingness
- Nonparametric shape-restricted regression
- Sub-Gaussian estimators of the mean of a random vector
- Optimal Kullback-Leibler aggregation in mixture density estimation by maximum likelihood
- Concentration of the empirical level sets of Tukey's halfspace depth
- Sharp oracle inequalities for least squares estimators in shape restricted regression
- Robust covariance and scatter matrix estimation under Huber's contamination model
- Sub-Gaussian estimators of the mean of a random matrix with heavy-tailed entries
- Learning from MOM's principles: Le Cam's approach
- Adaptive confidence sets in shape restricted regression
- Multidimensional linear functional estimation in sparse Gaussian models and robust estimation of the mean
- Density estimation with contamination: minimax rates and theory of adaptation
- Adaptive confidence balls
- Robust Lasso With Missing and Grossly Corrupted Observations
- Regression Depth
- Robust Estimators in High-Dimensions Without the Computational Intractability
- Efficiently learning structured distributions from untrusted batches
- Robust Estimation of a Location Parameter
- Introduction to nonparametric estimation
This page was built for publication: Confidence regions and minimax rates in outlier-robust estimation on the probability simplex