com.numericalmethod.suanshu.analysis.differentiation.univariate
Class DBetaRegularized

java.lang.Object
  com.numericalmethod.suanshu.analysis.function.rn2r1.UnivariateRealFunction
      com.numericalmethod.suanshu.analysis.differentiation.univariate.DBetaRegularized

All Implemented Interfaces:

Function, RealScalarFunction

public class DBetaRegularized
extends UnivariateRealFunction

This class represents the first order derivative function of the Regularized Incomplete Beta function w.r.t x, the upper limit.

  d
 ----Bx(p, q) = xp-1 * (1 - x)q-1 / B(p, q)
  dx
 

See Also:

BetaRegularized, 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
double	q the shape parameter

Constructor Summary

DBetaRegularized(double p, double q)
Construct the derivative function of the Regularized Incomplete Beta function with shape parameters p and q.

Method Summary

double

evaluate(double x) Evaluate dBx(p, q)/dx.

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

q

public final double q

the shape parameter

Constructor Detail

DBetaRegularized

public DBetaRegularized(double p,
                        double q)

Construct the derivative function of the Regularized Incomplete Beta function with shape parameters p and q.

Parameters:

p - the shape parameter

q - the shape parameter

Method Detail

evaluate

public double evaluate(double x)

Evaluate dBx(p, q)/dx.

Specified by:

evaluate in class UnivariateRealFunction

Parameters:

x - 0 ≤ x ≤ 1

Returns:

dBx(p, q)/dx