com.numericalmethod.suanshu.analysis.function.special
Class BetaRegularized

java.lang.Object
  com.numericalmethod.suanshu.analysis.function.rn2r1.UnivariateRealFunction
      com.numericalmethod.suanshu.analysis.function.special.BetaRegularized

All Implemented Interfaces:

Function, RealScalarFunction

public class BetaRegularized
extends UnivariateRealFunction

This class represents the Regularized Incomplete Beta function Bx(p, q).

               1    /x
 Bx(p, q) = ------- |  tp-1(1 - t)q-1dt
            B(p, q) /0
 

p > 0, q > 0

The R equivalent function is pbeta.

See Also:

• "Amparo Gil, Javier Segura, and Nico M. Temme. "Sections 6.7," Numerical Methods for Special Functions."
• Wikipedia: Incomplete beta function

Nested Class Summary

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

Function.EvaluationException

Field Summary

double	p the shape parameter p
double	q the shape parameter q

Constructor Summary

BetaRegularized(double p, double q)
Construct an instance of Bx(p, q) with the parameters p and q.

Method Summary

double

evaluate(double x) Evaluate Bx(p, q).

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

dimension4Domain, dimension4Range, evaluate

Methods inherited from class java.lang.Object

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

Field Detail

p

public final double p

the shape parameter p

q

public final double q

the shape parameter q

Constructor Detail

BetaRegularized

public BetaRegularized(double p,
                       double q)

Construct an instance of Bx(p, q) with the parameters p and q.

Parameters:

p - p > 0

q - q > 0

Method Detail

evaluate

public double evaluate(double x)

Evaluate Bx(p, q).

Specified by:

evaluate in class UnivariateRealFunction

Parameters:

x - 0 <= x <= 1

Returns:

Bx(p, q)