The Large Sample Correspondence between Classical Hypothesis Tests and Bayesian Posterior Odds Tests
经典假设检验与贝叶斯后验赔率检验的大样本对应
This paper establishes a correspondence in large samples between classical hypothesis tests and Bayesian posterior odds tests for models without trends. More specifically, tests of point null hypotheses and one- or two-sided alternatives are considered (where nuisance parameters may be present under both hypotheses). It is shown that, for certain priors, the Bayesian posterior odds test is equivalent in large samples to classical Wald, Lagrange multiplier, and likelihood…