Detangling robustness in high dimensions: composite versus model-averaged estimation
From MaRDI portal
Publication:2192312
DOI10.1214/20-EJS1728zbMath1450.62087arXiv2006.07457MaRDI QIDQ2192312
Jelena Bradic, Jing Zhou, Gerda Claeskens
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/2006.07457
Nonparametric regression and quantile regression (62G08) Ridge regression; shrinkage estimators (Lasso) (62J07) Nonparametric robustness (62G35) Linear regression; mixed models (62J05)
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Cites Work
- Unnamed Item
- On asymptotically optimal confidence regions and tests for high-dimensional models
- High dimensional robust M-estimation: asymptotic variance via approximate message passing
- Robustness in sparse high-dimensional linear models: relative efficiency and robust approximate message passing
- A weight-relaxed model averaging approach for high-dimensional generalized linear models
- Jackknife model averaging
- Estimation of the mean of a multivariate normal distribution
- Bayesian model averaging: A tutorial. (with comments and a rejoinder).
- Asymptotics for high dimensional regression \(M\)-estimates: fixed design results
- Model averaging with high-dimensional dependent data
- Debiasing the Lasso: optimal sample size for Gaussian designs
- Asymptotic risk and phase transition of \(l_1\)-penalized robust estimator
- Composite versus model-averaged quantile regression
- Confidence Intervals and Hypothesis Testing for High-Dimensional Regression
- On robust regression with high-dimensional predictors
- Hypothesis Testing in High-Dimensional Regression Under the Gaussian Random Design Model: Asymptotic Theory
- Model Selection and Model Averaging
- Frequentist Model Average Estimators
- Model Selection and Multimodel Inference
- Penalized Composite Quasi-Likelihood for Ultrahigh Dimensional Variable Selection
- A Model-Averaging Approach for High-Dimensional Regression
- The LASSO Risk for Gaussian Matrices
- The Dynamics of Message Passing on Dense Graphs, with Applications to Compressed Sensing
- Some inequalities for (a + b)p and (a + b)p + (a − b)p
- Least Squares Model Averaging
- Linear Statistical Inference and its Applications
- Combining Linear Regression Models
- Sequential Minimax Search for a Maximum
- Consistent parameter estimation for Lasso and approximate message passing