Uniform and subuniform posterior robustness: The sample size problem. (With discussion)

DOI10.1016/0378-3758(94)90120-1zbMath0798.62006OpenAlexW2062937502MaRDI QIDQ1333139

Saurabh Mukhopadhyay, Anirban DasGupta

Publication date: 8 November 1994

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(94)90120-1

zbMATH Keywords

normal distributionconfidence setsprior distributionconjugate priorsrisksposterior robustnessnonconjugatesample size prescriptionsuniform convergence to zero of ranges of posterior quantities

Mathematics Subject Classification ID

Bayesian inference (62F15) Foundations and philosophical topics in statistics (62A01)

Related Items (6)

An overview of robust Bayesian analysis. (With discussion) ⋮ Sample size problems in ANOVA Bayesian point of view ⋮ Robust Bayesian sample size determination for avoiding the range of equivalence in clinical trials ⋮ Bayesian-frequentist sample size determination: a game of two priors ⋮ Most stable sample size determination in clinical trials ⋮ Predictive control of posterior robustness for sample size choice in a Bernoulli model

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• Statistical decision theory and Bayesian analysis. 2nd ed
• Diameter and volume minimizing confidence sets in Bayes and classical problems
• Approximate behavior of the posterior distribution for a large observation
• Stable decision problems
• Admissibility of Estimators of the Mean Vector of a Multivariate Normal Distribution with Quadratic Loss
• The accuracy of the normal approximation for estimates of vector parameters

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