Package org.processmining.plugins.stochasticpetrinet.distribution

Class BernsteinExponentialApproximation

java.lang.Object

org.apache.commons.math3.distribution.AbstractRealDistribution

org.processmining.plugins.stochasticpetrinet.distribution.AnotherAbstractRealDistribution

org.processmining.plugins.stochasticpetrinet.distribution.BernsteinExponentialApproximation

All Implemented Interfaces:

java.io.Serializable, org.apache.commons.math3.analysis.UnivariateFunction, org.apache.commons.math3.distribution.RealDistribution

public class BernsteinExponentialApproximation
extends AnotherAbstractRealDistribution

Implementation of the expolynomial distribution class presented in:

Horváth, András, Lorenzo Ridi, and Enrico Vicario. "Approximating distributions and transient probabilities of Markov chains by Bernstein expolynomial functions." Proc. of International Conference on the Numerical Solution of Markov Chains. Williamsburg, VA, USA, September 15-18, Williamsburg, VA, USA: College of William & Mary. 2010.

Author:

Andreas Rogge-Solti

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
static double	DEFAULT_C
static int	DEFAULT_N

Fields inherited from class org.processmining.plugins.stochasticpetrinet.distribution.AnotherAbstractRealDistribution

cachedMean, cachedVariance

Fields inherited from class org.apache.commons.math3.distribution.AbstractRealDistribution

random, randomData, SOLVER_DEFAULT_ABSOLUTE_ACCURACY

Constructor Summary

Constructors

Constructor	Description
BernsteinExponentialApproximation(double[] nPoints, java.lang.Double lowerBound, java.lang.Double upperBound, double c)	Constructs a Bernstein Exponential with a given number of sampling points
BernsteinExponentialApproximation(org.apache.commons.math3.analysis.UnivariateFunction f, java.lang.Double lowerBound, java.lang.Double upperBound, int n, double c)
BernsteinExponentialApproximation(org.apache.commons.math3.distribution.RealDistribution d, java.lang.Double lowerBound, java.lang.Double upperBound)
BernsteinExponentialApproximation(org.apache.commons.math3.distribution.RealDistribution d, java.lang.Double lowerBound, java.lang.Double upperBound, int n)
BernsteinExponentialApproximation(org.apache.commons.math3.distribution.RealDistribution d, java.lang.Double lowerBound, java.lang.Double upperBound, int n, double c)

Method Summary

Modifier and Type	Method	Description
double	density(double x)
double[]	getNPoints()
java.util.List<java.lang.Double>	getParameters()
java.lang.Double	getSamplingConstantC()
double	getSupportLowerBound()
double	getSupportUpperBound()
boolean	isSupportConnected()
boolean	isSupportLowerBoundInclusive()
boolean	isSupportUpperBoundInclusive()

Methods inherited from class org.processmining.plugins.stochasticpetrinet.distribution.AnotherAbstractRealDistribution

cumulativeProbability, getNumericalMean, getNumericalVariance, value

Methods inherited from class org.apache.commons.math3.distribution.AbstractRealDistribution

cumulativeProbability, getSolverAbsoluteAccuracy, inverseCumulativeProbability, logDensity, probability, probability, reseedRandomGenerator, sample, sample

Methods inherited from class java.lang.Object

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

Field Detail

DEFAULT_N

public static final int DEFAULT_N

See Also:

Constant Field Values

DEFAULT_C

public static final double DEFAULT_C

See Also:

Constant Field Values

Constructor Detail

BernsteinExponentialApproximation

public BernsteinExponentialApproximation(double[] nPoints,
                                         java.lang.Double lowerBound,
                                         java.lang.Double upperBound,
                                         double c)

Constructs a Bernstein Exponential with a given number of sampling points

Parameters:

nPoints - sampling points of the distribution

BernsteinExponentialApproximation

public BernsteinExponentialApproximation(org.apache.commons.math3.analysis.UnivariateFunction f,
                                         java.lang.Double lowerBound,
                                         java.lang.Double upperBound,
                                         int n,
                                         double c)

Parameters:

f - the original function to approximate (usually a RealDistribution

lowerBound - the lower bound "a" parameter in the cited work (must be greater or equal 0)

upperBound - the upper bound "b" parameter in the cited work (can be infinite, must be greater than the lower bound)

n - the number of sampling points (granularity of the approximation)

c - the scaling factor for the sampling points

BernsteinExponentialApproximation

public BernsteinExponentialApproximation(org.apache.commons.math3.distribution.RealDistribution d,
                                         java.lang.Double lowerBound,
                                         java.lang.Double upperBound)

BernsteinExponentialApproximation

public BernsteinExponentialApproximation(org.apache.commons.math3.distribution.RealDistribution d,
                                         java.lang.Double lowerBound,
                                         java.lang.Double upperBound,
                                         int n)

BernsteinExponentialApproximation

public BernsteinExponentialApproximation(org.apache.commons.math3.distribution.RealDistribution d,
                                         java.lang.Double lowerBound,
                                         java.lang.Double upperBound,
                                         int n,
                                         double c)

Method Detail

density

public double density(double x)

getSupportLowerBound

public double getSupportLowerBound()

getSupportUpperBound

public double getSupportUpperBound()

isSupportLowerBoundInclusive

public boolean isSupportLowerBoundInclusive()

isSupportUpperBoundInclusive

public boolean isSupportUpperBoundInclusive()

isSupportConnected

public boolean isSupportConnected()

getSamplingConstantC

public java.lang.Double getSamplingConstantC()

getNPoints

public double[] getNPoints()

getParameters

public java.util.List<java.lang.Double> getParameters()