Method Detail

• logBeta

  public static double logBeta(double a,
                               double b)

  Returns the natural logarithm of the beta function B(a, b) (1).

  References:

  1. Eric W. Weisstein. "Beta Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/BetaFunction.html

  Parameters:

  a - the a parameter.

  b - the b parameter.

  Returns:

  log(B(a, b))

• regularizedBeta

  public static double regularizedBeta(double x,
                                       double a,
                                       double b)
                                throws NumericException

  Returns the regularized beta function I_x(a, b) (1).

  References:

  1. Eric W. Weisstein. "Regularized Beta Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/RegularizedBetaFunction.html

  Parameters:

  x - the evaluation point.

  a - the a parameter.

  b - the b parameter.

  Returns:

  I_x(a, b)

  Throws:

  NumericException - if the value could not be computed.