SURE Estimates for a Heteroscedastic Hierarchical Model
From MaRDI portal
Publication:4904724
DOI10.1080/01621459.2012.728154zbMath1284.62450OpenAlexW2088349114WikidataQ41892862 ScholiaQ41892862MaRDI QIDQ4904724
S. C. Kou, Xianchao Xie, Lawrence D. Brown
Publication date: 31 January 2013
Published in: Journal of the American Statistical Association (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc4188406
Ridge regression; shrinkage estimators (Lasso) (62J07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Paired and multiple comparisons; multiple testing (62J15)
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Cites Work
- An autoregressive approach to house price modeling
- An empirical Bayes mixture method for effect size and false discovery rate estimation
- From Stein's unbiased risk estimates to the method of generalized cross- validation
- Asymptotic optimality of \(C_ L\) and generalized cross-validation in ridge regression with application to spline smoothing
- Asymptotic optimality for \(C_ p\), \(C_ L\), cross-validation and generalized cross-validation: Discrete index set
- Estimation of the mean of a multivariate normal distribution
- Admissible minimax estimation of a multivariate normal mean with arbitrary quadratic loss
- Ordered linear smoothers
- Choice of hierarchical priors: Admissibility in estimation of normal means
- Oracle inequalities for inverse problems
- Needles and straw in haystacks: Empirical Bayes estimates of possibly sparse sequences
- General maximum likelihood empirical Bayes estimation of normal means
- Nonparametric empirical Bayes and compound decision approaches to estimation of a high-dimensional vector of normal means
- A new class of generalized Bayes minimax ridge regression estimators
- Proper Bayes Minimax Estimators of the Multivariate Normal Mean
- Admissible Estimators, Recurrent Diffusions, and Insoluble Boundary Value Problems
- The Estimation of Prediction Error
