edu.uah.math.distributions
Class CircleDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class CircleDistribution
extends Distribution
implements java.io.Serializable

This class models the crcle distribution with a specified radius. This is the distribution of X and Y when (X, Y) has the uniform distribution on a circular region centered at the origin, with the given radius.

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

CircleDistribution()
This default constructor creates a new circle distribution with radius 1.

CircleDistribution(double r)
This general constructor creates a new circle distribution with a specified radius.

Method Summary

double	getCDF(double x) This method compute the cumulative distribution functionin in terms of the radius parameter.
double	getDensity(double x) This method computes the probability density function,
double	getMaxDensity() This method computes the maximum value of the density function, which is the value at 0.
double	getMean() This method computes the mean in terms of the radius parameter.
double	getMedian() This method computes the median which is 0 regardless of the radius parameter.
double	getQuantile(double p) This method computes the quantile function in terms of the radius parameter.
double	getRadius() This method returns the radius parameter.
double	getVariance() This method computes the variance in terms of the radius parameter.
void	setRadius(double r) This method sets the radius parameter and computes the domain of the distribution.
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

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

Methods inherited from class java.lang.Object

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

Constructor Detail

CircleDistribution

public CircleDistribution(double r)

This general constructor creates a new circle distribution with a specified radius.

Parameters:

r - the radius

CircleDistribution

public CircleDistribution()

This default constructor creates a new circle distribution with radius 1.

Method Detail

setRadius

public void setRadius(double r)

This method sets the radius parameter and computes the domain of the distribution.

Parameters:

r - the radius

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

getMaxDensity

public double getMaxDensity()

This method computes the maximum value of the density function, which is the value at 0.

Overrides:

getMaxDensity in class Distribution

Returns:

the maximum value of the probability density function

getMean

public double getMean()

This method computes the mean in terms of the radius parameter.

Overrides:

getMean in class Distribution

Returns:

the mean

getVariance

public double getVariance()

This method computes the variance in terms of the radius parameter.

Overrides:

getVariance in class Distribution

Returns:

the variance

getMedian

public double getMedian()

This method computes the median which is 0 regardless of the radius parameter.

Overrides:

getMedian in class Distribution

Returns:

the median

getRadius

public double getRadius()

This method returns the radius parameter.

Returns:

the radius

simulate

public double simulate()

This method simulates a value from the distribution. This is done by simulating a point chosen uniformly in the circle of the specified radius, centered at the origin, and then computing the x-coordinate of the point.

Overrides:

simulate in class Distribution

Returns:

a simulated value from the distribution

getCDF

public double getCDF(double x)

This method compute the cumulative distribution functionin in terms of the radius parameter.

Overrides:

getCDF in class Distribution

Parameters:

x - a number in the domain of the distribution

Returns:

the cumulative probability at x

getQuantile

public double getQuantile(double p)

This method computes the quantile function in terms of the radius parameter.

Overrides:

getQuantile in class Distribution

Parameters:

p - a probability in (0, 1)

Returns:

the quantile of order p

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