An exposition of the false confidence theorem

DOI10.1002/STA4.201MaRDI QIDQ6541473

Jonathan P. Williams, Iain Carmichael

Publication date: 19 May 2024

Published in: Stat (Search for Journal in Brave)

zbMATH Keywords

statistical inferenceBayesian methodsbelief functionsfoundations of statisticsepistemic probabilityFieller's theoremGleser-Hwang theorem

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• The nonexistence of \(100(1-\alpha)\%\) confidence sets of finite expected diameter in errors-in-variables and related models
• Integrated likelihood methods for eliminating nuisance parameters. (With comments and a rejoinder).
• The theory of interval-probability as a unifying concept for uncertainty
• When should modes of inference disagree? Some simple but challenging examples
• Judicious judgment meets unsettling updating: dilation, sure loss and Simpson's paradox
• A First Course in Bayesian Statistical Methods
• The Bayesian Choice

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