# Bayesian hypothesis tests with diffuse priors: Can we have our cake and eat it too?

## Seminar/Forum

Room 213
Peter Hall
We introduce a new class of priors for Bayesian hypothesis testing, which we name cake priors’’. These priors circumvent Bartlett’s paradox (also called the Jeffreys-Lindley paradox); the problem associated with the use of diffuse priors leading to nonsensical statistical inferences. Cake priors allow the use of diffuse priors (having ones cake) while achieving theoretically justified inferences (eating it too).