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Beta Prime Distribution

docs/tutorial:stats:continuous_betaprime

There are two shape parameters $a, b > 0$ and the support is $x \in [0, \infty)$ . Note the CDF evaluation uses Eq. 3.194.1 on pg. 313 of Gradshteyn & Ryzhik (sixth edition).

μ_{n}^{'} = {\frac{Γ ( n + α ) Γ ( β - n )}{Γ ( α ) Γ ( β )} = \frac{( α ) _{n}}{( β - n ) _{n}} \infty β > n otherwise

Therefore,

Implementation: scipy.stats.betaprime