C# Class Accord.Math.Beta

Beta functions.

This class offers implementations for the many Beta functions, such as the Beta function itself, Log">its logarithm, the Cephes Math Library, http://www.netlib.org/cephes/ Wikipedia contributors, "Beta function,". Wikipedia, The Free Encyclopedia. Available at: http://en.wikipedia.org/wiki/Beta_function

ファイルを表示 Open project: accord-net/framework

Public Methods

Method	Description
Function ( double a, double b ) : double	Beta function as gamma(a) * gamma(b) / gamma(a+b).
Incbcf ( double a, double b, double x ) : double	Continued fraction expansion #1 for incomplete beta integral.
Incbd ( double a, double b, double x ) : double	Continued fraction expansion #2 for incomplete beta integral.
Incomplete ( double a, double b, double x ) : double	Incomplete (regularized) Beta function Ix(a, b).
IncompleteInverse ( double aa, double bb, double yy0 ) : double	Inverse of incomplete beta integral.
Log ( double a, double b ) : double	Natural logarithm of the Beta function.
Multinomial ( ) : double	Multinomial Beta function.
PowerSeries ( double a, double b, double x ) : double	Power series for incomplete beta integral. Use when b*x is small and x not too close to 1.

Method Details

Function() public static method

Beta function as gamma(a) * gamma(b) / gamma(a+b).

public static Function ( double a, double b ) : double
a	double
b	double
return	double

Incbcf() public static method

Continued fraction expansion #1 for incomplete beta integral.

public static Incbcf ( double a, double b, double x ) : double
a	double
b	double
x	double
return	double

Incbd() public static method

Continued fraction expansion #2 for incomplete beta integral.

public static Incbd ( double a, double b, double x ) : double
a	double
b	double
x	double
return	double

Incomplete() public static method

Incomplete (regularized) Beta function Ix(a, b).

public static Incomplete ( double a, double b, double x ) : double
a	double
b	double
x	double
return	double

IncompleteInverse() public static method

Inverse of incomplete beta integral.

public static IncompleteInverse ( double aa, double bb, double yy0 ) : double
aa	double
bb	double
yy0	double
return	double

Log() public static method

Natural logarithm of the Beta function.

public static Log ( double a, double b ) : double
a	double
b	double
return	double

Multinomial() public static method

Multinomial Beta function.

public static Multinomial ( ) : double
return	double

PowerSeries() public static method

Power series for incomplete beta integral. Use when b*x is small and x not too close to 1.

public static PowerSeries ( double a, double b, double x ) : double
a	double
b	double
x	double
return	double