edu.uah.math.distributions
Class TriangleDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class TriangleDistribution
extends Distribution
implements java.io.Serializable

This class models the triangle distribution on a specified interval. If (X, Y) is uniformly distributed on a triangular region, then X and Y have triangular distribuitons.

Version:

August, 2003

Author:

Kyle Siegrist, Dawn Duehring

See Also:

Serialized Form

Field Summary

static int	DOWN
static int	UP

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

CONTINUOUS, DISCRETE, MIXED

Constructor Summary

TriangleDistribution()
This default constructor creates a new triangle distribution on the interval (0, 1) with positive slope.

TriangleDistribution(double a, double b, int i)
This general constructor creates a new triangle distribution on a specified interval and with a specified orientation.

Method Summary

double	getCDF(double x) This method computes the cumulative distribution function.
double	getDensity(double x) This method computes the density.
double	getLowerBound() This method returns the lower bound
double	getMaxDensity() This method computes the maximum value of the density function.
double	getMean() This method computes the mean.
int	getOrientation() This method returns the orientation.
double	getUpperBound() This method returns the upper bound.
double	getVariance() This method computes the variance.
void	setLowerBound(double a) This method sets the lower bound
void	setOrientation(int i) This method sets the orientation.
void	setParameters(double a, double b, int i) This method sets the parameters: the minimum value, maximum value, and orientation.
void	setUpperBound(double b) This method sets the upper bound.
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, getMedian, getMGF, getMoment, getMoment, getPGF, getQuantile, getSD, getType, setDomain, setDomain

Methods inherited from class java.lang.Object

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

Field Detail

UP

public static final int UP

See Also:

Constant Field Values

DOWN

public static final int DOWN

See Also:

Constant Field Values

Constructor Detail

TriangleDistribution

public TriangleDistribution(double a,
                            double b,
                            int i)

This general constructor creates a new triangle distribution on a specified interval and with a specified orientation.

Parameters:

a - the left endpoint of the domain

b - the right endpoint of the domain param i the orientation (UP or DOWN)

TriangleDistribution

public TriangleDistribution()

This default constructor creates a new triangle distribution on the interval (0, 1) with positive slope.

Method Detail

setParameters

public void setParameters(double a,
                          double b,
                          int i)

This method sets the parameters: the minimum value, maximum value, and orientation.

Parameters:

a - the left endpoint of the domain

b - the right endpoint of the domain

i - the orientation (UP or DOWN)

getDensity

public double getDensity(double x)

This method computes the density.

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.

Overrides:

getMaxDensity in class Distribution

Returns:

the maximum value of the probability density function

getMean

public double getMean()

This method computes the mean.

Overrides:

getMean in class Distribution

Returns:

the mean of the distribution

getVariance

public double getVariance()

This method computes the variance.

Overrides:

getVariance in class Distribution

Returns:

the variance of the distribution

setLowerBound

public void setLowerBound(double a)

This method sets the lower bound

Parameters:

a - the lower bound

getLowerBound

public double getLowerBound()

This method returns the lower bound

Returns:

the left endpoint of the domain

setUpperBound

public void setUpperBound(double b)

This method sets the upper bound.

Parameters:

b - the upper bound

getUpperBound

public double getUpperBound()

This method returns the upper bound.

Returns:

the right endpoint of the domain

setOrientation

public void setOrientation(int i)

This method sets the orientation.

Parameters:

i - the orientation (UP or DOWN)

getOrientation

public int getOrientation()

This method returns the orientation.

Returns:

the orientation (UP or DOWN)

simulate

public double simulate()

This method simulates a value from the distribution.

Overrides:

simulate in class Distribution

Returns:

a simulated value from the distribution

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 the distribution

Returns:

the cumulative distribution at x

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