Bernstein-von Mises theorem

Bayesian and frequentist nonlinear inequality tests

Bayesian and frequentist criteria are fundamentally different, but often posterior and sampling distributions are asymptotically equivalent (and normal). We compare Bayesian and frequentist inference on nonlinear inequality restrictions in such cases. To quantify the comparison, we examine the (frequentist) size of a Bayesian hypothesis test (based on a comparable loss function).

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