Distributions.jl
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No power law distribution?
Or should I just use lognormal instead, since the only difference seems to be the length of the tail?
Might the Pareto or GeneralizedPareto distributions do what you need?
I recently used the Pareto distribution to implement a power-law distribution in a form that is more typical in my domain; it sounds like you probably want to do something similar.
This Wikipedia entry might also be of help.