edu.uah.math.distributions

Class ContinuousUniformDistribution

java.lang.Object

edu.uah.math.distributions.Distribution

edu.uah.math.distributions.ContinuousUniformDistribution

All Implemented Interfaces:

java.io.Serializable

public class ContinuousUniformDistribution
extends Distribution
implements java.io.Serializable

This class models the uniform distribution on a specified interval.

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

Constructors

Constructor and Description
ContinuousUniformDistribution() This default constructor creates a new uniform distribuiton on (0, 1).
ContinuousUniformDistribution(double a, double b) This general constructor creates a new uniform distribution on a specified interval.

Method Summary

Methods

Modifier and Type	Method and Description
double	getCDF(double x) This method computes the cumulative distribution function in terms of the parameters.
double	getDensity(double x) This method computes the probability density function.
double	getLowerBound() This method gets the lower bound of the domain of the distribution.
double	getMaxDensity() This method computes the maximum value of the density function, which is any value, since the density function is constant.
double	getMean() This method computes the mean of the distribution in terms of the parameters.
double	getMGF(double t) This method computes the moment generating function in terms of the parameters.
double	getMoment(double a, int n) ' This method computes the moment of a specified order about a specified point, in terms of the parameters.
double	getQuantile(double p) This method computes the quantile function in terms of the parameters.
double	getUpperBound() This method returns the upper bound of the domain.
double	getVariance() This method computes the variance of the distribution in terms of the parameters.
void	setLowerBound(double a) This method sets the lower bound of the domain.
void	setParameters(double a, double b) This method sets the parameters: the minimum and maximum values of the interval.
void	setUpperBound(double b) This method sets the upper bound of the 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, getMedian, getMoment, 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

ContinuousUniformDistribution

public ContinuousUniformDistribution(double a,
                             double b)

This general constructor creates a new uniform distribution on a specified interval.

Parameters:

a - the left endpoint

b - the right endpoint

ContinuousUniformDistribution

public ContinuousUniformDistribution()

This default constructor creates a new uniform distribuiton on (0, 1).

Method Detail

setParameters

public void setParameters(double a,
                 double b)

This method sets the parameters: the minimum and maximum values of the interval. The default domain is sepcified.

Parameters:

a - the left enpdoint

b - the right endpoint

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 any value, since the density function is constant.

Overrides:

getMaxDensity in class Distribution

Returns:

the maximum value of the density function

getMean

public double getMean()

This method computes the mean of the distribution in terms of the parameters.

Overrides:

getMean in class Distribution

Returns:

the mean

getVariance

public double getVariance()

This method computes the variance of the distribution in terms of the parameters.

Overrides:

getVariance in class Distribution

Returns:

the variance

getMoment

public double getMoment(double a,
               int n)

' This method computes the moment of a specified order about a specified point, in terms of the parameters.

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 computes the moment generating function in terms of the parameters.

Overrides:

getMGF in class Distribution

Parameters:

t - a real number

Returns:

the moment generating function at t

getCDF

public double getCDF(double x)

This method computes the cumulative distribution function in terms of the parameters.

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 parameters.

Overrides:

getQuantile in class Distribution

Parameters:

p - a probability in (0, 1)

Returns:

the quantile of order p

setLowerBound

public void setLowerBound(double a)

This method sets the lower bound of the domain.

Parameters:

a - the lower bound

getLowerBound

public double getLowerBound()

This method gets the lower bound of the domain of the distribution.

Returns:

the left endpoint of the interval

setUpperBound

public void setUpperBound(double b)

This method sets the upper bound of the domain.

Parameters:

b - the upper bound

getUpperBound

public double getUpperBound()

This method returns the upper bound of the domain.

Returns:

the right enpoint of the interval

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