mars.tensor.special.betainc#

mars.tensor.special.betainc(a, b, x, out=None, **kwargs)[source]#

Incomplete beta function.

Computes the incomplete beta function, defined as 1:

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

for \(0 \leq x \leq 1\).

Parameters

a (array-like) – Positive, real-valued parameters
b (array-like) – Positive, real-valued parameters
x (array-like) – Real-valued such that \(0 \leq x \leq 1\), the upper limit of integration
out (ndarray, optional) – Optional output array for the function values

Returns

Value of the incomplete beta function

Return type

array-like