edu.uah.math.distributions
Class CauchyDistribution

java.lang.Object
  edu.uah.math.distributions.Distribution
      edu.uah.math.distributions.StudentDistribution
          edu.uah.math.distributions.CauchyDistribution

All Implemented Interfaces:

java.io.Serializable

public class CauchyDistribution
extends StudentDistribution
implements java.io.Serializable

This class models the Cauchy 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

CauchyDistribution()

Method Summary

double	getCDF(double x) This method computes the cumulative distribuiton function in closed form.
double	getQuantile(double p) This method computes the quantile function in closed form.
void	setDegrees(int n) This method sets the degrees of freedom which is fixed at 1.
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.StudentDistribution

getDegrees, getDensity, getMaxDensity, getMean, getMoment, getMoment, getVariance, simulate

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

getDomain, getFailureRate, getMedian, getMGF, getPGF, getSD, getType, setDomain, setDomain

Methods inherited from class java.lang.Object

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

Constructor Detail

CauchyDistribution

public CauchyDistribution()

Method Detail

getCDF

public double getCDF(double x)

This method computes the cumulative distribuiton function in closed form.

Overrides:

getCDF in class StudentDistribution

Parameters:

x - a number in the domain of the distribution

Returns:

the cumulative probability at x

See Also:

betaCDF

getQuantile

public double getQuantile(double p)

This method computes the quantile function in closed form.

Overrides:

getQuantile in class Distribution

Parameters:

p - a probability in (0, 1)

Returns:

the quantile of order p

setDegrees

public void setDegrees(int n)

This method sets the degrees of freedom which is fixed at 1.

Overrides:

setDegrees in class StudentDistribution

Parameters:

n - the degrees of freedom

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 StudentDistribution

Returns:

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