edu.uah.math.distributions
Class MatchDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class MatchDistribution
extends Distribution
implements java.io.Serializable

This class models the distribution of the number of matches in a random permutation. A match occurs whenever an element is in its natural order.

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

MatchDistribution()
This default constructor creates a new mathcing distribuiton with parameter 5.

MatchDistribution(int n)
This general constructor creates a new matching distribution with a specified parameter.

Method Summary

double	getDensity(double x) This method computes the probability density function.
double	getMaxDensity() This method gives the maximum value of the probability density function.
double	getMean() This method returns the mean, which is 1, regardless of the parameter value.
int	getParameter() This method gets the parameter.
double	getVariance() This method returns the variance, which is 1 regardless of the parameter value.
void	setParameter(int n) This method sets the parameter of the distribution.
double	simulate() This method simulates a value from the distribution, by generating a random permutation and computing the number of matches.
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, getMedian, getMGF, getMoment, getMoment, getPGF, getQuantile, getSD, getType, setDomain, setDomain

Methods inherited from class java.lang.Object

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

Constructor Detail

MatchDistribution

public MatchDistribution(int n)

This general constructor creates a new matching distribution with a specified parameter.

Parameters:

n - the number of elements

MatchDistribution

public MatchDistribution()

This default constructor creates a new mathcing distribuiton with parameter 5.

Method Detail

setParameter

public void setParameter(int n)

This method sets the parameter of the distribution.

Parameters:

n - the size of the random permutation

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 {0, 1, 2, ...}

Returns:

the probability density at x

getMaxDensity

public double getMaxDensity()

This method gives the maximum value of the probability density function.

Overrides:

getMaxDensity in class Distribution

Returns:

the maximum value of the probability density function

getMean

public double getMean()

This method returns the mean, which is 1, regardless of the parameter value.

Overrides:

getMean in class Distribution

Returns:

the mean of the distribution

getVariance

public double getVariance()

This method returns the variance, which is 1 regardless of the parameter value.

Overrides:

getVariance in class Distribution

Returns:

the variance of the distribution

getParameter

public int getParameter()

This method gets the parameter.

Returns:

the size of the random permutation

simulate

public double simulate()

This method simulates a value from the distribution, by generating a random permutation and computing the number of matches.

Overrides:

simulate in class Distribution

Returns:

a simulated value from the distribution

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