A New Proof of the Likelihood Principle

2014/03/28 by Greg Gandenberger · 2 citations
Physics and Astronomy · Mathematics · #Statistical Mechanics and Entropy #Probability and Statistical Research #Advanced Statistical Methods and Models

paper · doi:10.1093/bjps/axt039

openalex publication_date 2014/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

I present a new proof of the likelihood principle that avoids two responses to a well-known proof due to Birnbaum ([1962]). I also respond to arguments that Birnbaum’s proof is fallacious, which if correct could be adapted to this new proof. On the other hand, I urge caution in interpreting proofs of the likelihood principle as arguments against the use of frequentist statistical methods. 1 Introduction2 The New Proof3 How the New Proof Addresses Proposals to Restrict Birnbaum’s Premises4 A Response to Arguments that the Proofs Are Fallacious5 Conclusion

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