com.numericalmethod.suanshu.analysis.differentiation.univariate

Class DBetaRegularized

java.lang.Object

com.numericalmethod.suanshu.analysis.function.rn2r1.univariate.UnivariateRealFunction

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

All Implemented Interfaces:

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

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

Method Summary

Modifier and Type	Method and Description
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

dimensionOfDomain, dimensionOfRange, evaluate

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:

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