Empirical Bayes Confidence Intervals Shrinking Both Means and Variances

DOI10.1111/j.1467-9868.2008.00681.xzbMath1231.62009OpenAlexW2091577273MaRDI QIDQ3551041

Zhigen Zhao, J. T. Gene Hwang, Jing Qiu

Publication date: 8 April 2010

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9868.2008.00681.x

zbMATH Keywords

simultaneous confidence intervalsmultiple testing

Mathematics Subject Classification ID

Related Items (11)

Where to find needles in a haystack? ⋮ Shrinkage confidence procedures ⋮ Prediction Error of Small Area Predictors Shrinking Both Means and Variances ⋮ Generalized FWER control procedures for testing multiple hypotheses ⋮ Bayesian confidence intervals with more power to estimate the minimum effect and determine the sign ⋮ Confidence distributions and empirical Bayes posterior distributions unified as distributions of evidential support ⋮ Empirical Bayes Confidence Intervals for Selected Parameters in High-Dimensional Data ⋮ Bivariate hierarchical Bayesian model for combining summary measures and their uncertainties from multiple sources ⋮ A Spatial Variance‐Smoothing Area Level Model for Small Area Estimation of Demographic Rates ⋮ Finite sample inference for empirical Bayesian methods ⋮ Bayesian Estimators for Small Area Models Shrinking Both Means and Variances

Cites Work

• Statistical decision theory and Bayesian analysis. 2nd ed
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• Significance analysis of microarrays applied to the ionizing radiation response
• Minimum Volume Confidence Regions for a Multivariate Normal Mean Vector
• Empirical Bayes Confidence Sets for the Mean of a Multivariate Normal Distribution
• Empirical Bayes Confidence Intervals Based on Bootstrap Samples
• Linear Models and Empirical Bayes Methods for Assessing Differential Expression in Microarray Experiments
• Parametric Empirical Bayes Inference: Theory and Applications
• Optimal Shrinkage Estimation of Variances With Applications to Microarray Data Analysis
• Small Confidence Sets for the Mean of a Spherically Symmetric Distribution
• Improved statistical tests for differential gene expression by shrinking variance components estimates
• Sharp Simultaneous Confidence Intervals for the Means of Selected Populations with Application to Microarray Data Analysis
• Admissibility of the Usual Confidence Sets for the Mean of a Univariate or Bivariate Normal Population
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