Special.IncompleteBeta(Double, Double) Method

Returns a function that Evaluates the Incomplete Beta function for fixed shape parameters.

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C#
public static Func<double, double> IncompleteBeta(
	double a,
	double b
)

Parameters

a  Double
The first shape parameter.
b  Double
The second shape parameter.

Return Value

Func<Double, Double>
A function that evaluates the incomplete Beta function with shape parameters a and b.

Remarks

The term 'incomplete' refers to the fact that the defining integral of the beta function is evaluated from zero up to a point between 0 and 1, so that IncompleteBeta(a, b, 1) = Beta(a, b).

There is some confusion around the use of the term incomplete beta function. It may also refer to the normalized incomplete beta function or regularized beta function, implemented by the RegularizedBeta(Double, Double) method. Care should be taken when using these methods that the correct method is called.

See Also