I need to generate random samples from a distribution that looks roughly like this:
To generate the image above I combined two powerlaws:
y = a * x**(a - 1) + b * x**(b - 1)
with parameters a, b controlling the shape of the distribution. Ideally a single shape parameter would be better.
There are dozens of distributions defined in scipy's Continuous distributions section but I haven't been able to find one that matches what I need.

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