edu.uah.math.distributions
Class FiniteOrderStatisticDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class FiniteOrderStatisticDistribution
extends Distribution
implements java.io.Serializable

This class models the distribution of an order statistic for a sample chosen without replacement from {1, 2..., N} .

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

FiniteOrderStatisticDistribution()
This default constructor creates a new finite order statistic distribution with population size 50, sample size 10, and order 5.

FiniteOrderStatisticDistribution(int N, int n, int k)
This general constructor creates a new finite order statistic distribution with specified population and sample sizes, and specified order.

Method Summary

double	getDensity(double x) This method computes the probability density function.
double	getMean() This method computes the mean of the distribution.
int	getOrder() This method returns the order.
int	getPopulationSize() This method returns the population size.
int	getSampleSize() This method returns the sample size.
double	getVariance() This method computes the variance of the distribution.
void	setOrder(int k) This method sets the order.
void	setParameters(int N, int n, int k) This method sets the parameters: the sample size, population size, and order.
void	setPopulationSize(int N) This method sets the population size.
void	setSampleSize(int n) This method sets the sample size.
double	simulate() This method simulates a value from the distribution.
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, 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

FiniteOrderStatisticDistribution

public FiniteOrderStatisticDistribution(int N,
                                        int n,
                                        int k)

This general constructor creates a new finite order statistic distribution with specified population and sample sizes, and specified order.

Parameters:

N - the population size

n - the sample size

k - the order

FiniteOrderStatisticDistribution

public FiniteOrderStatisticDistribution()

This default constructor creates a new finite order statistic distribution with population size 50, sample size 10, and order 5.

Method Detail

setParameters

public void setParameters(int N,
                          int n,
                          int k)

This method sets the parameters: the sample size, population size, and order. The default domain is also computed.

Parameters:

N - the population size

n - the sample size

k - the order

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

simulate

public double simulate()

This method simulates a value from the distribution.

Overrides:

simulate in class Distribution

Returns:

a simulated value

setPopulationSize

public void setPopulationSize(int N)

This method sets the population size.

Parameters:

N - the population size

getPopulationSize

public int getPopulationSize()

This method returns the population size.

Returns:

the population size

setSampleSize

public void setSampleSize(int n)

This method sets the sample size.

Parameters:

n - the sample size

getSampleSize

public int getSampleSize()

This method returns the sample size.

Returns:

the sample size

setOrder

public void setOrder(int k)

This method sets the order.

Parameters:

k - the order

getOrder

public int getOrder()

This method returns the order.

Returns:

the order

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