edu.uah.math.distributions

Class CouponDistribution

java.lang.Object

edu.uah.math.distributions.Distribution

edu.uah.math.distributions.CouponDistribution

All Implemented Interfaces:

java.io.Serializable

public class CouponDistribution
extends Distribution
implements java.io.Serializable

This class models the distribution of the sample size needed to get a specified number of distinct sample values when sampling with replacement from a finite population of a specified size.

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

Constructors

Constructor and Description
CouponDistribution() This general constructor creates a new coupon distribution with population size 10 and and 10 distinct values.
CouponDistribution(int m, int k) This general constructor creates a new coupon distribution with specified population size and a specified number of distinct values.

Method Summary

Methods

Modifier and Type	Method and Description
double	getDensity(double x) This method computes the probability density function.
int	getDistinctValues() This method returns the number of distinct values in the sample.
double	getMean() This method computes the mean of the distribution.
double	getPGF(double t) This method computes the probability generating function of the distribution.
int	getPopulationSize() This method returns the population size.
double	getVariance() This method computes the variance of the distribution.
void	setDistinctValues(int k) This method sets the number of distinct values in the sample.
void	setParameters(int m, int k) This method sets the parameters: the population size and number of distinct values needed.
void	setPopulationSize(int m) This method sets the population size.
double	simulate() This method simulates a value from the distribution, by sampling with replacement from the population until the specified number of distinct sample values is obtained.
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, getMedian, getMGF, getMoment, getMoment, getQuantile, getSD, getType, setDomain, setDomain

Methods inherited from class java.lang.Object

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

Constructor Detail

CouponDistribution

public CouponDistribution(int m,
                  int k)

This general constructor creates a new coupon distribution with specified population size and a specified number of distinct values.

Parameters:

m - the population size

k - the number of distinct sample values

CouponDistribution

public CouponDistribution()

This general constructor creates a new coupon distribution with population size 10 and and 10 distinct values.

Method Detail

setParameters

public void setParameters(int m,
                 int k)

This method sets the parameters: the population size and number of distinct values needed. The method also computes the default domain.

Parameters:

m - the population size

k - the number of distinct sample values

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

getMean

public double getMean()

This method computes the mean of the distribution.

Overrides:

getMean in class Distribution

Returns:

the mean

getVariance

public double getVariance()

This method computes the variance of the distribution.

Overrides:

getVariance in class Distribution

Returns:

the variance

getPopulationSize

public int getPopulationSize()

This method returns the population size.

Returns:

the population size

setPopulationSize

public void setPopulationSize(int m)

This method sets the population size.

Parameters:

m - the population size.

getDistinctValues

public int getDistinctValues()

This method returns the number of distinct values in the sample.

Returns:

the number of distinct values in the sample

setDistinctValues

public void setDistinctValues(int k)

This method sets the number of distinct values in the sample.

Parameters:

k - the number of distinct values in the sample

simulate

public double simulate()

This method simulates a value from the distribution, by sampling with replacement from the population until the specified number of distinct sample values is obtained.

Overrides:

simulate in class Distribution

Returns:

a simulated value from the distribution

getPGF

public double getPGF(double t)

This method computes the probability generating function of the distribution.

Overrides:

getPGF in class Distribution

Parameters:

t - a real number

Returns:

the probability generating function at t

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