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

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

All Implemented Interfaces:

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

public class DBetaRegularized
extends UnivariateRealFunction

This is the first order derivative function of the Regularized Incomplete Beta function, BetaRegularized, w.r.t the upper limit, x. \[ {\partial \over \partial x} \mathrm{B_x}(p, q) = \frac{x^{p-1}(1-x)^{q-1}}{\mathrm{B_x}(p, q)} \]

See Also:

Wikipedia: Incomplete beta function, BetaRegularized

Nested Class Summary

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

Function.EvaluationException

Constructor Summary

DBetaRegularized(double p, double q)
Construct the derivative function of the Regularized Incomplete Beta function, BetaRegularized.

Method Summary

double

evaluate(double x) Evaluate \({\partial \over \partial x} \mathrm{B_x}(p, q)\).

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

evaluate

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

dimensionOfDomain, dimensionOfRange

Methods inherited from class java.lang.Object

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

Constructor Detail

DBetaRegularized

public DBetaRegularized(double p,
                        double q)

Construct the derivative function of the Regularized Incomplete Beta function, BetaRegularized.

Parameters:

p - the shape parameter

q - the shape parameter

Method Detail

evaluate

public double evaluate(double x)

Evaluate \({\partial \over \partial x} \mathrm{B_x}(p, q)\).

Specified by:

evaluate in class UnivariateRealFunction

Parameters:

x - \(0 \le x \le 1\)

Returns:

\({\partial \over \partial x} \mathrm{B_x}(p, q)\)