Special.IncompleteBeta Method

public static Func<double, double> IncompleteBeta(
	double a,
	double b
)

Public Shared Function IncompleteBeta ( 
	a As Double,
	b As Double
) As Func(Of Double, Double)

public:
static Func<double, double>^ IncompleteBeta(
	double a, 
	double b
)

static member IncompleteBeta : 
        a : float * 
        b : float -> Func<float, float> 

Parameters

a  Double

The first shape parameter.

b  Double

The second shape parameter.

Return Value

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.

public static double IncompleteBeta(
	double a,
	double b,
	double x
)

Public Shared Function IncompleteBeta ( 
	a As Double,
	b As Double,
	x As Double
) As Double

public:
static double IncompleteBeta(
	double a, 
	double b, 
	double x
)

static member IncompleteBeta : 
        a : float * 
        b : float * 
        x : float -> float 

Parameters

a  Double

The first shape parameter.

b  Double

The second shape parameter.

x  Double

A real number.

Return Value

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.

Reference