jax.scipy.special.betainc

jax.scipy.special.betainc(a, b, x)

Regularized incomplete beta function.

LAX-backend implementation of scipy.special.betainc().

Original docstring below.

Computes the regularized 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

Returns

Value of the regularized incomplete beta function

Return type

scalar or ndarray

References

1

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