# 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

beta

beta function

betaincinv

inverse of the incomplete beta function

Notes

The incomplete beta function is also sometimes defined without the gamma terms, in which case the above definition is the so-called regularized incomplete beta function. Under this definition, you can get the incomplete beta function by multiplying the result of the SciPy function by beta.

References

1

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