"Bayesian framework is indeed a complete solution to inference in a formal/logical sense." Bradley Efron, in TFA, begs to disagree: "I wish I could report tha

"Bayesian framework is indeed a complete solution to inference in a formal/logical sense." Bradley Efron, in TFA, begs to disagree: "I wish I could report that this resolves the 250-year controversy and that it is now safe to always employ Bayes’ theorem. Sorry. My own practice is to use Bayesian analysis in the presence of genuine prior information; to use empirical Bayes methods in the parallel cases situation; and otherwise to be cautious when invoking uninformative priors. In the last case, Bayesian calculations cannot be uncritically accepted and should be checked by other methods, which usually means frequentistically."