Another analogy is that Bayesianism = decision theory and frequentism = game theory. Bayesians try to find the best response to a particular mixed strategy of nature (prior), while frequentists try to achieve “frequentist guarantees” which is like minimaxing against nature. Wald’s complete class theorems are pretty much about that.
Another analogy is that Bayesianism = decision theory and frequentism = game theory. Bayesians try to find the best response to a particular mixed strategy of nature (prior), while frequentists try to achieve “frequentist guarantees” which is like minimaxing against nature. Wald’s complete class theorems are pretty much about that.