com.numericalmethod.suanshu.analysis.function.special.beta

Class Beta

java.lang.Object

com.numericalmethod.suanshu.analysis.function.rn2r1.BivariateRealFunction

com.numericalmethod.suanshu.analysis.function.special.beta.Beta

All Implemented Interfaces:

Function<Vector,java.lang.Double>, RealScalarFunction, java.io.Serializable

public class Beta
extends BivariateRealFunction

The beta function defined as: \[ B(x,y) = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}= \int_0^1t^{x-1}(1-t)^{y-1}\,dt, x > 0, y > 0 \]

The R equivalent function is beta.

See Also:

Wikipedia: Beta function, Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from interface com.numericalmethod.suanshu.analysis.function.Function

Function.EvaluationException

Constructor Summary

Constructors

Constructor and Description
Beta()

Method Summary

Modifier and Type	Method and Description
double	evaluate(double x, double y) Evaluate B(x,y).

Methods inherited from class com.numericalmethod.suanshu.analysis.function.rn2r1.BivariateRealFunction

dimensionOfDomain, dimensionOfRange, evaluate

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Beta

public Beta()

Method Detail

evaluate

public double evaluate(double x,
                       double y)

Evaluate B(x,y).

Specified by:

evaluate in class BivariateRealFunction

Parameters:

x - x > 0

y - y > 0

Returns:

B(x,y)