# mars.tensor.special.betaincinv¶

mars.tensor.special.betaincinv(a, b, y, out=None, **kwargs)[source]

Inverse of the incomplete beta function.

Computes $$x$$ such that:

$y = I_x(a, b) = \frac{\Gamma(a+b)}{\Gamma(a)\Gamma(b)} \int_0^x t^{a-1}(1-t)^{b-1}dt,$

where $$I_x$$ is the normalized incomplete beta function betainc and $$\Gamma$$ is the gamma function 1.

Parameters
• a (array-like) – Positive, real-valued parameters

• b (array-like) – Positive, real-valued parameters

• y (array-like) – Real-valued input

• out (ndarray, optional) – Optional output array for function values

Returns

Value of the inverse of the incomplete beta function

Return type

array-like

betainc

incomplete beta function

gamma

gamma function

References

1

NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/8.17