edu.uah.math.distributions
Class WalkMaxDistribution

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

All Implemented Interfaces:

java.io.Serializable

public class WalkMaxDistribution
extends Distribution
implements java.io.Serializable

This class models the distribution of the maximum value of a symmetric random walk on the interval [0, n].

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

WalkMaxDistribution()
This default constructor creates a new walk max distribution with time parameter 10.

WalkMaxDistribution(int n)
This general constructor creates a new max walk distribution with a specified time parameter.

Method Summary

double	getDensity(double x) This method defines the density function.
double	getMaxDensity() This method returns the maximum value of the density function.
double	getSteps() This method returns the time parameter.
void	setSteps(int n) This method sets the time parameter.
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

getCDF, getDomain, getFailureRate, getMean, getMedian, getMGF, getMoment, getMoment, getPGF, getQuantile, getSD, getType, getVariance, setDomain, setDomain

Methods inherited from class java.lang.Object

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

Constructor Detail

WalkMaxDistribution

public WalkMaxDistribution(int n)

This general constructor creates a new max walk distribution with a specified time parameter.

Parameters:

n - the number of steps

WalkMaxDistribution

public WalkMaxDistribution()

This default constructor creates a new walk max distribution with time parameter 10.

Method Detail

setSteps

public void setSteps(int n)

This method sets the time parameter.

Parameters:

n - the number of steps

getDensity

public double getDensity(double x)

This method defines the 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 density function.

Overrides:

getMaxDensity in class Distribution

Returns:

the maximum value of the density function

getSteps

public double getSteps()

This method returns the time parameter.

Returns:

the number of steps

simulate

public double simulate()

This method simulates a value from the distribution.

Overrides:

simulate in class Distribution

Returns:

a simulated value from the distribution

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