What does the proof of Birnbaum's theorem prove?

DOI10.1214/13-EJS857zbMath1294.62002arXiv1302.5468OpenAlexW2963568504MaRDI QIDQ375222

Michael Evans

Publication date: 29 October 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5468

zbMATH Keywords

likelihoodrelationsequivalence relationssufficiencyconditionality

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Parametric inference (62F99)

Related Items (7)

On resolving problems with conditionality and its implications for characterizing statistical evidence ⋮ Epistemic confidence in the observed confidence interval ⋮ Discussion of ``On the Birnbaum argument for the strong likelihood principle ⋮ False confidence, non-additive beliefs, and valid statistical inference ⋮ Blending Bayesian and Classical Tools to Define Optimal Sample-Size-Dependent Significance Levels ⋮ On the Birnbaum argument for the strong likelihood principle ⋮ Discussion: Foundations of statistical inference, revisited

Cites Work

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• A New Proof of the Likelihood Principle
• On the Foundations of Statistical Inference
• On principles and arguments to likelihood
• Sufficiency and conditionality
• Conditioning, Likelihood, and Coherence: A Review of Some Foundational Concepts

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