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  • Extreme.Mathematics.SpecialFunctions Namespace
  • GammaFunctions Class
  • Methods
  • IncompleteBeta Method
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GammaFunctions..::..IncompleteBeta Method

GammaFunctions Class  See Also 
Evaluates the Incomplete Beta function.

Namespace:  Extreme.Mathematics.SpecialFunctions
Assembly:  Extreme.Numerics.Net20 (in Extreme.Numerics.Net20.dll) Version: 3.6.10055.0 (3.6.10077.0)

Syntax

C#
public static double IncompleteBeta(
	double a,
	double b,
	double x
)
Visual Basic (Declaration)
Public Shared Function IncompleteBeta ( _
	a As Double, _
	b As Double, _
	x As Double _
) As Double
Visual C++
public:
static double IncompleteBeta(
	double a, 
	double b, 
	double x
)
F#
static member IncompleteBeta : 
        a:float * 
        b:float * 
        x:float -> float 

Parameters

a
Type: System..::.Double
The first shape parameter.
b
Type: System..::.Double
The second shape parameter.
x
Type: System..::.Double
A real number.

Return Value

The Incomplete Beta function evaluated for the specified arguments.

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, Double) method. Care should be taken when using these methods that the correct method is called.

See Also

GammaFunctions Class
Extreme.Mathematics.SpecialFunctions Namespace
GammaFunctions..::.Beta(Double, Double)
GammaFunctions..::.LogBeta(Double, Double)
GammaFunctions..::.RegularizedBeta(Double, Double, Double)

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