edu.uah.math.distributions
Class ParetoDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class ParetoDistribution
extends Distribution
implements java.io.Serializable

This class models the Pareto distribution with a specified parameter.

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

ParetoDistribution()
The default constructor creates a new Pareto distribution with parameter 1.

ParetoDistribution(double a)
This general constructor creates a new Pareto distribuiton with a specified parameter.

Method Summary

double	getCDF(double x) This method comptues the cumulative distribution function.
double	getDensity(double x) This method computes the probability density function.
double	getMaxDensity() This method returns the maximum value of the probability density function.
double	getMGF(double t) This method returns the moment generating function.
double	getMoment(double a, int n) This method computes the moment of a specified order about a specified point.
double	getMoment(int n) This method computes the moment of a specified order.
double	getParameter() This method returns the parameter.
double	getQuantile(double p) This method computes the quantile function.
double	getVariance() This method computes the variance of the distribution.
void	setParameter(double a) This method sets the parameter and computes the default domain.
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, getMean, getMedian, getPGF, getSD, getType, setDomain, setDomain, simulate

Methods inherited from class java.lang.Object

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

Constructor Detail

ParetoDistribution

public ParetoDistribution(double a)

This general constructor creates a new Pareto distribuiton with a specified parameter.

Parameters:

a - the parameter

ParetoDistribution

public ParetoDistribution()

The default constructor creates a new Pareto distribution with parameter 1.

Method Detail

setParameter

public void setParameter(double a)

This method sets the parameter and computes the default domain.

Parameters:

a - the parameter

getParameter

public double getParameter()

This method returns the parameter.

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 returns the maximum value of the probability density function.

Overrides:

getMaxDensity in class Distribution

Returns:

the maximum value of the probability density function

getMoment

public double getMoment(int n)

This method computes the moment of a specified order.

Overrides:

getMoment in class Distribution

Parameters:

n - the order

Returns:

the moment of order n

getMoment

public double getMoment(double a,
                        int n)

This method computes the moment of a specified order about a specified point.

Overrides:

getMoment in class Distribution

Parameters:

a - the center

n - the order

Returns:

the moment of order n about a

getMGF

public double getMGF(double t)

This method returns the moment generating function.

Overrides:

getMGF in class Distribution

Parameters:

t - a real number

Returns:

the moment generating function at t

getVariance

public double getVariance()

This method computes the variance of the distribution.

Overrides:

getVariance in class Distribution

Returns:

the variance

getCDF

public double getCDF(double x)

This method comptues the cumulative distribution function.

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.

Overrides:

getQuantile in class Distribution

Parameters:

p - a number 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