On The Fallacy of the Likelihood Principle.

reportActive / Technical Report | Accession Number: ADA120954 | Open PDF

Abstract:

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

Author(s):
Akaike, Hirotugu
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Supplementary Note:
DOI: 10.21236/ADA120954
Pagination:
0014

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2395, ARO-16415.293-MA
Contract/Grant Number(s):
DAAG29-80-C-0041
Monitor Series:
16415.293-MA
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*PROBABILITY, *STATISTICAL ANALYSIS, *BAYES THEOREM, DISTRIBUTION, INVERSION, BINOMIALS
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
Mathematical equivalence, Tautology, Conditionality(Mathematics), Bayesian statistics, Birnbaums axiom, Likelihood principle, Inference(Statistics)
Report Date:
1982 Jun 01