"Not only defended but also applied": A look back at Feller's take on Bayesian inference
Résumé
William Feller has a Note on Bayes' rule in his classic probability book in which he expresses doubts about the Bayesian approach to statistics and decries it as a method of the past. We analyze in this note the motivations for Feller's attitude, without aiming at a complete historical coverage of the reasons for this dismissal.