edu.uah.math.distributions
Class FiniteDistribution

java.lang.Object
  edu.uah.math.distributions.Distribution
      edu.uah.math.distributions.FiniteDistribution

All Implemented Interfaces:

java.io.Serializable

Direct Known Subclasses:

DieDistribution, DiscreteUniformDistribution

public class FiniteDistribution
extends Distribution
implements java.io.Serializable

This class models a basic discrete distribution on a finite set of points, with specified probabilities.

Version:

August, 2003

Author:

Kyle Siegrist, Dawn Duehring

See Also:

Serialized Form

Field Summary

Fields inherited from class edu.uah.math.distributions.Distribution

CONTINUOUS, DISCRETE, MIXED

Constructor Summary

FiniteDistribution()
This special constructor creates a new uniform distribution on {1, 2..., 6}.

FiniteDistribution(double a, double b, double w)
This special constructor creates the uniform distribuiton on the finite set of points.

FiniteDistribution(double a, double b, double w, double[] p)
This general constructor creates a new finite distribution on a finite set of points with a specified array of probabilities.

Method Summary

double	getDensity(double x) This method computes the probability density function.
double	getLowerValue() This method returns the lower value.
double[]	getProbabilities() This method gets the entire array of probabilities.
double	getProbabilities(int i) This method gets the probability for a specified index.
int	getSize() This method returns the size (the number of values).
double	getUpperValue() This method returns the lower value.
double	getWidth() This method returns the width.
void	setLowerValue(double a) This method sets the lower value.
void	setParameters(double a, double b, double w) This method sets the domain parameters.
void	setParameters(double a, double b, double w, double[] p) This method sets the parameters: the domain and the probabilities.
void	setProbabilities(double[] p) This method sets the probabilities.
void	setProbabilities(int i, double p) This method sets an individual probability.
void	setUpperValue(double b) This method sets the upper value.
void	setWidth(double w) This method sets the step size.
java.lang.String	toString() This method returns a string that gives the name of the distribution and the values of the parameters.

Methods inherited from class edu.uah.math.distributions.Distribution

getCDF, getDomain, getFailureRate, getMaxDensity, getMean, getMedian, getMGF, getMoment, getMoment, getPGF, getQuantile, getSD, getType, getVariance, setDomain, setDomain, simulate

Methods inherited from class java.lang.Object

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

Constructor Detail

FiniteDistribution

public FiniteDistribution(double a,
                          double b,
                          double w,
                          double[] p)

This general constructor creates a new finite distribution on a finite set of points with a specified array of probabilities.

Parameters:

a - the lower value of the domain

b - the upper value of the domain

w - the step size of the domain

p - the array of probabilities

FiniteDistribution

public FiniteDistribution(double a,
                          double b,
                          double w)

This special constructor creates the uniform distribuiton on the finite set of points.

Parameters:

a - the lower value of the domain

b - the upper value of the domain

w - the step size of the domain

FiniteDistribution

public FiniteDistribution()

This special constructor creates a new uniform distribution on {1, 2..., 6}.

Method Detail

setParameters

public void setParameters(double a,
                          double b,
                          double w,
                          double[] p)

This method sets the parameters: the domain and the probabilities.

Parameters:

a - the lower value of the domain

b - the upper value of the domain

w - the step size of the domain

p - the array of probabilities

setParameters

public void setParameters(double a,
                          double b,
                          double w)

This method sets the domain parameters. The probability array corresponds to the uniform distribution.

Parameters:

a - the lower value of the domain

b - the upper value of the domain

w - the step size of the domain

getDensity

public double getDensity(double x)

This method computes the probability density function.

Specified by:

getDensity in class Distribution

Parameters:

x - a number in the domain of the distribution

Returns:

the probability density at x

setProbabilities

public void setProbabilities(double[] p)

This method sets the probabilities. Error correction is performed to ensure that the probabilities are nonnegative and sum to 1.

Parameters:

p - the array of probabilities

setProbabilities

public void setProbabilities(int i,
                             double p)

This method sets an individual probability. The other probabilities would be rescaled appropriately, so that the sum is still 1.

Parameters:

i - the index

p - the probability

getProbabilities

public double getProbabilities(int i)

This method gets the probability for a specified index.

Parameters:

i - the index

Returns:

the probability associated with the index

getProbabilities

public double[] getProbabilities()

This method gets the entire array of probabilities.

Returns:

the array of probabilities

setLowerValue

public void setLowerValue(double a)

This method sets the lower value.

Parameters:

a - the lower value

getLowerValue

public double getLowerValue()

This method returns the lower value.

Returns:

the lower value

setUpperValue

public void setUpperValue(double b)

This method sets the upper value.

Parameters:

b - the upper value

getUpperValue

public double getUpperValue()

This method returns the lower value.

Returns:

the lower value

setWidth

public void setWidth(double w)

This method sets the step size.

Parameters:

w - the width

getWidth

public double getWidth()

This method returns the width.

Returns:

the width

getSize

public int getSize()

This method returns the size (the number of values).

Returns:

the number of values

toString

public java.lang.String toString()

This method returns a string that gives the name of the distribution and the values of the parameters.

Overrides:

toString in class Distribution

Returns:

a string giving the name of the distribution and the values of the parameters