On the fallacy of the likelihood principle

Hirotugu Akaike

Statistics & Probability Letters, 1982, vol. 1, issue 2, 75-78

Abstract: By using the direct and inverse binomial experiments it is shown that there is a situation where Birnbaum's basic axiom of mathematical equivalence and the likelihood principle is a tautology. This observation disqualifies Birnbaum's proof of the likelihood principle based on the axioms of mathematical equivalence and conditionality. The implication of this disproof of Birnbaum's argument for Bayesian statistics is briefly discussed.

Keywords: Likelihood; principle; conditionality; sufficiency; Bayesian; statistics; prior; distribution (search for similar items in EconPapers)
Date: 1982
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