Realistic interpretations of de Finetti's Theorem

Abstract

Mixtures of binomial distributions have been recently introduced in Statistical Physics both in theoretical and in experimental frames in order to explain physical correlations. The physical interpretation of the mixing distribution is realistic, in contrast with the subjective mood originally attached by De Finetti to his celebrated "Representation Theorem". Inductive and physical correlations, despite different in meaning, obey the same mathematical rules. Hence the logical status of the Theorem is worth of reconsideration by non-bayesian statisticians.