On The Fallacy of the Likelihood Principle.

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 the 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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA120954

Entities

People

  • Hirotugu Akaike

Organizations

  • University of Wisconsin–Madison

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  • Binomials
  • Classification
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  • North Carolina
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  • Mathematics

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  • Computational Linguistics
  • Military Logistics and Supply Chain Management
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Translation