Approximated Bayes and empirical Bayes confidence intervals - the known variance case

DOI10.1007/BF00049430zbMath0675.62022OpenAlexW2169669519MaRDI QIDQ1122258

S. H. Smith

Publication date: 1988

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049430

zbMATH Keywords

empirical Bayesposterior distributionanalysis of varianceStein estimatormultivariate normal meanPearson distributionnormal approximationsPearson curvespopulation meansconfidence intervals of treatment effectsHierarchical Bayeshierarchical Bayes confidence intervalsunequal variance case

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Bayesian inference (62F15) Empirical decision procedures; empirical Bayes procedures (62C12)

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Bayesian input in Stein estimation and a new minimax empirical Bayes estimator

Cites Work

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• Statistical decision theory and Bayesian analysis. 2nd ed
• Biased versus unbiased estimation
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• A Simulation Study of Alternatives to Ordinary Least Squares
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• Systems of Frequency Curves