Package org.apache.commons.math.special

Class Beta

  • public class Beta
extends java.lang.Object
    This is a utility class that provides computation methods related to the Beta family of functions.
    Version:
    $Revision: 990655 $ $Date: 2010-08-29 23:49:40 +0200 (dim. 29 août 2010) $

    • Method Summary

      All Methods Static Methods Concrete Methods 
      Modifier and Type Method Description
      static double logBeta​(double a, double b)
      Returns the natural logarithm of the beta function B(a, b).
      static double logBeta​(double a, double b, double epsilon, int maxIterations)
      Returns the natural logarithm of the beta function B(a, b).
      static double regularizedBeta​(double x, double a, double b)
      Returns the regularized beta function I(x, a, b).
      static double regularizedBeta​(double x, double a, double b, double epsilon)
      Returns the regularized beta function I(x, a, b).
      static double regularizedBeta​(double x, double a, double b, double epsilon, int maxIterations)
      Returns the regularized beta function I(x, a, b).
      static double regularizedBeta​(double x, double a, double b, int maxIterations)
      Returns the regularized beta function I(x, a, b).

      • Methods inherited from class java.lang.Object

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

    • Method Detail

      • regularizedBeta

        public static double regularizedBeta​(double x,
                                     double a,
                                     double b)
                              throws MathException
        Returns the regularized beta function I(x, a, b).
        Parameters:
        x - the value.
        a - the a parameter.
        b - the b parameter.
        Returns:
        the regularized beta function I(x, a, b)
        Throws:
        MathException - if the algorithm fails to converge.

      • regularizedBeta

        public static double regularizedBeta​(double x,
                                     double a,
                                     double b,
                                     double epsilon)
                              throws MathException
        Returns the regularized beta function I(x, a, b).
        Parameters:
        x - the value.
        a - the a parameter.
        b - the b parameter.
        epsilon - When the absolute value of the nth item in the series is less than epsilon the approximation ceases to calculate further elements in the series.
        Returns:
        the regularized beta function I(x, a, b)
        Throws:
        MathException - if the algorithm fails to converge.

      • regularizedBeta

        public static double regularizedBeta​(double x,
                                     double a,
                                     double b,
                                     int maxIterations)
                              throws MathException
        Returns the regularized beta function I(x, a, b).
        Parameters:
        x - the value.
        a - the a parameter.
        b - the b parameter.
        maxIterations - Maximum number of "iterations" to complete.
        Returns:
        the regularized beta function I(x, a, b)
        Throws:
        MathException - if the algorithm fails to converge.

      • regularizedBeta

        public static double regularizedBeta​(double x,
                                     double a,
                                     double b,
                                     double epsilon,
                                     int maxIterations)
                              throws MathException
        Returns the regularized beta function I(x, a, b). The implementation of this method is based on:
        Parameters:
        x - the value.
        a - the a parameter.
        b - the b parameter.
        epsilon - When the absolute value of the nth item in the series is less than epsilon the approximation ceases to calculate further elements in the series.
        maxIterations - Maximum number of "iterations" to complete.
        Returns:
        the regularized beta function I(x, a, b)
        Throws:
        MathException - if the algorithm fails to converge.

      • logBeta

        public static double logBeta​(double a,
                             double b)
        Returns the natural logarithm of the beta function B(a, b).
        Parameters:
        a - the a parameter.
        b - the b parameter.
        Returns:
        log(B(a, b))

      • logBeta

        public static double logBeta​(double a,
                             double b,
                             double epsilon,
                             int maxIterations)
        Returns the natural logarithm of the beta function B(a, b). The implementation of this method is based on:
        Parameters:
        a - the a parameter.
        b - the b parameter.
        epsilon - When the absolute value of the nth item in the series is less than epsilon the approximation ceases to calculate further elements in the series.
        maxIterations - Maximum number of "iterations" to complete.
        Returns:
        log(B(a, b))