The formal posterior of a standard flat prior in MANOVA is incoherent

DOI10.1007/BF02589105zbMath1446.62208MaRDI QIDQ3598337

Morris L. Eaton, William D. Sudderth

Publication date: 3 February 2009

Published in: Journal of the Italian Statistical Society (Search for Journal in Brave)

zbMATH Keywords

Haar measureimproper priorinvariant estimationcoherent inferenceuniform inadmissibility

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Foundations and philosophical topics in statistics (62A01) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (5)

Invariance of posterior distributions under reparametrization ⋮ On Bayes's theorem for improper mixtures ⋮ Infinitesimal distributions, improper priors and Bayesian inference ⋮ Dutch book against some `objective' priors ⋮ Charles Stein and invariance: beginning with the Hunt-Stein theorem

Cites Work

• De Finetti's coherence and statistical inference
• Coherent statistical inference and Bayes theorem
• On finitely additive priors, coherence, and extended admissibility
• Coherent inference from improper priors and from finitely additive priors
• Coherent inferences and improper priors
• Invariance, Minimax Sequential Estimation, and Continuous Time Processes
• Strong Inconsistency from Uniform Priors
• Bayes' Method for Bookies
• Ergodic theorems and the construction of summing sequences in amenable locally compact groups
• Coherent and continuous inference
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