Abstract
Abstract This article reviews the state of multiparameter shrinkage estimators with emphasis on the empirical Bayes viewpoint, particularly in the case of parametric prior distributions. Some successful applications of major importance are considered. Recent results concerning estimates of error and confidence intervals are described and illustrated with data.
Keywords
Bayes' theoremInferenceParametric statisticsEstimatorEconometricsStatistical inferenceComputer scienceBayes factorConfidence intervalStatisticsParametric modelMathematicsBayesian probabilityArtificial intelligence
Affiliated Institutions
Related Publications
Nonparametric confidence intervals for receiver operating characteristic curves
We study methods for constructing confidence intervals and confidence bands for estimators of receiver operating characteristics. Particular emphasis is placed on the way in whi...
Treatment-effect estimates adjusted for small-study effects via a limit meta-analysis
Statistical heterogeneity and small-study effects are 2 major issues affecting the validity of meta-analysis. In this article, we introduce the concept of a limit meta-analysis,...
Estimation of Finite Mixture Distributions Through Bayesian Sampling
SUMMARY A formal Bayesian analysis of a mixture model usually leads to intractable calculations, since the posterior distribution takes into account all the partitions of the sa...
Linear Models and Empirical Bayes Methods for Assessing Differential Expression in Microarray Experiments
The problem of identifying differentially expressed genes in designed microarray experiments is considered. Lonnstedt and Speed (2002) derived an expression for the posterior od...
Better Bootstrap Confidence Intervals
Abstract We consider the problem of setting approximate confidence intervals for a single parameter θ in a multiparameter family. The standard approximate intervals based on max...
Publication Info
- Year
- 1983
- Type
- article
- Volume
- 78
- Issue
- 381
- Pages
- 47-55
- Citations
- 1370
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
1370
OpenAlex
Cite This
Carl N. Morris
(1983).
Parametric Empirical Bayes Inference: Theory and Applications.
Journal of the American Statistical Association
, 78
(381)
, 47-55.
https://doi.org/10.1080/01621459.1983.10477920
Identifiers
- DOI
- 10.1080/01621459.1983.10477920