expectation and variance of beta about rans-uncertainty HOT 1 CLOSED

Yes, you are correct. The variance should be very large (not small) as this results in the prior being weak during the optimization process! Generally the variance for the noise (epsilon) with only increase during the optimization process (so beta will decrease iirc)

I cannot remember what I was referring to in the paper... perhaps I was referring the variance of the Gaussian (but this wouldn't be correct) or maybe the beta distribution. Also don't remember if I was refer before or after optimization. Regardless this is really ambiguous on my part.

So I would regard this as a typo in the paper. You are spot on with the beta variance. Apologies for the confusion.

from rans-uncertainty.