I've added extensive discussion and references for each of weibull_min, weibull_max, and frechet.  R's usage of these isn't part of their core, and seems to be scattered around in different packages; ditto Stata.  Mathematica has WeibullDistribution for our weibull_min, GumbelDistribution for our gumbel_r, and FrechetDistribution for our (new) frechet, but this mapping is so obvious that I hesitate to bother documenting it.

Part of the issue is that (weibull_max, gumbel, frechet)  distributions are special cases of the generalized extreme value distribution, and so some other packages simply provide that.