brms
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To be more in line with the rest of the regression families I think it would be a good idea to support loglinear distribution reparameterized with mean and standard deviation on the natural scale.
Here is the reparametrization (from ProbOnto, https://sites.google.com/site/probonto/download):
$P\left(x ; \boldsymbol{\mu}{N}, \boldsymbol{\sigma}{N}\right)=\frac{1}{x \sqrt{2 \pi \log \left