Birnbaum’s Theorem Redux
Sérgio Wechsler, Carlos Alberto de Bragança Pereira, Paulo C. Marques F., Marcelo de Souza Lauretto, Carlos Alberto de Bragança Pereira, Julio Michael Stern · AIP conference proceedings · 2008
We revisit Birnbaum’s results on the Likelihood Principle, reorganizing and making a few formal changes which address some of the criticisms at the original development. The meaning of the results for different theories of statistical inference is exemplified, and the role of the Likelihood Principle as means to assess the consistency of those theories is emphasized.