public class Beta extends Object
This is a utility class that provides computation methods related to the Beta family of functions.
Implementation of logBeta(double, double)
is based on the
algorithms described in
Modifier and Type | Method and Description |
---|---|
static double |
logBeta(double p,
double q)
Returns the value of log B(p, q) for 0 ≤ x ≤ 1 and p, q > 0.
|
static double |
logBeta(double a,
double b,
double epsilon,
int maxIterations)
Deprecated.
as of version 3.1, this method is deprecated as the
computation of the beta function is no longer iterative; it will be
removed in version 4.0. Current implementation of this method
internally calls
logBeta(double, double) . |
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).
|
public static double regularizedBeta(double x, double a, double b)
x
- Value.a
- Parameter a
.b
- Parameter b
.MaxCountExceededException
- if the algorithm fails to converge.public static double regularizedBeta(double x, double a, double b, double epsilon)
x
- Value.a
- Parameter a
.b
- Parameter b
.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.MaxCountExceededException
- if the algorithm fails to converge.public static double regularizedBeta(double x, double a, double b, int maxIterations)
x
- the value.a
- Parameter a
.b
- Parameter b
.maxIterations
- Maximum number of "iterations" to complete.MaxCountExceededException
- if the algorithm fails to converge.public static double regularizedBeta(double x, double a, double b, double epsilon, int maxIterations)
x
- the value.a
- Parameter a
.b
- Parameter b
.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.MaxCountExceededException
- if the algorithm fails to converge.@Deprecated public static double logBeta(double a, double b, double epsilon, int maxIterations)
logBeta(double, double)
.a
- Parameter a
.b
- Parameter b
.epsilon
- This parameter is ignored.maxIterations
- This parameter is ignored.public static double logBeta(double p, double q)
DBETLN
.p
- First argument.q
- Second argument.log(Beta(p, q))
, NaN
if
p <= 0
or q <= 0
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