tf.math.betainc  |  TensorFlow v2.16.1 (original) (raw)

tf.math.betainc

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Compute the regularized incomplete beta integral \(I_x(a, b)\).

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Compat aliases for migration

SeeMigration guide for more details.

tf.compat.v1.betainc, tf.compat.v1.math.betainc

tf.math.betainc(
    a: Annotated[Any, tf.raw_ops.Any],
    b: Annotated[Any, tf.raw_ops.Any],
    x: Annotated[Any, tf.raw_ops.Any],
    name=None
) -> Annotated[Any, tf.raw_ops.Any]

The regularized incomplete beta integral is defined as:

\(I_x(a, b) = \frac{B(x; a, b)}{B(a, b)}\)

where

\(B(x; a, b) = \int_0^x t^{a-1} (1 - t)^{b-1} dt\)

is the incomplete beta function and \(B(a, b)\) is the _complete_beta function.