edu.uah.math.distributions
Class OrderStatisticDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class OrderStatisticDistribution
extends Distribution
implements java.io.Serializable

This class models the distribution of the order statistic of a specified order from a random sample of a specified size from a specified sampling distribution.

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

OrderStatisticDistribution()
This default constructor creates a new order statistic distribution with the uniform distribution, sample size n = 2, and order k = 1.

OrderStatisticDistribution(Distribution d, int n, int k)
This general constructor creates a new order statistic distribution corresponding to a specified sampling distribution, sample size, and order.

Method Summary

double	getCDF(double x) This method computes the cumulative distribution function.
double	getDensity(double x) This method computes the probability density function.
Distribution	getDistribution() This method returns the sampling distribution.
int	getOrder() This method returns the order
int	getSampleSize() This method returns the sample size.
void	setDistribution(Distribution d) This method sets the sampling distribution.
void	setOrder(int k) This method sets the order.
void	setParameters(Distribution d, int n, int k) This method sets the parameters: the sampling distribution, sample size, and order.
void	setSampleSize(int n) This method sets the sample 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

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

OrderStatisticDistribution

public OrderStatisticDistribution(Distribution d,
                                  int n,
                                  int k)

This general constructor creates a new order statistic distribution corresponding to a specified sampling distribution, sample size, and order.

Parameters:

d - the probability distribution

n - the sample size

k - the order

OrderStatisticDistribution

public OrderStatisticDistribution()

This default constructor creates a new order statistic distribution with the uniform distribution, sample size n = 2, and order k = 1.

Method Detail

setParameters

public void setParameters(Distribution d,
                          int n,
                          int k)

This method sets the parameters: the sampling distribution, sample size, and order.

Parameters:

d - the probability distribution

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

getCDF

public double getCDF(double x)

This method computes the cumulative distribution function.

Overrides:

getCDF in class Distribution

Parameters:

x - a number in the domain of x

Returns:

the cumulative probability at x

setDistribution

public void setDistribution(Distribution d)

This method sets the sampling distribution.

Parameters:

d - the sampling distribution

getDistribution

public Distribution getDistribution()

This method returns the sampling distribution.

Returns:

the sampling distribution

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

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