Suggestion: Bayesian median of means

[ParadaCarleton]

As laid out here, the Bayesian median of means is a robust but always-consistent estimator of the mean (unlike e.g. the median). It applies the Bayesian bootstrap to the data to create a posterior distribution, then uses the median of the posterior. BRMS suggests using robust estimators when setting weakly-informative priors; maybe this is a good option for centering data? I might add this later on if that’s ok with you guys.

[storopoli]

For me it is OK, but are we clear that this is a good default? I have not seem it implemented in other formula Bayes packages like brms or bambi.