edu.uah.math.distributions
Class BinomialDistribution

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

All Implemented Interfaces:

java.io.Serializable

Direct Known Subclasses:

BernoulliDistribution

public class BinomialDistribution
extends Distribution
implements java.io.Serializable

This class models the binomial distribution with a specified number of trials and probability of success. This distribution governs the number of success.

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

BinomialDistribution()
This default constructor creates the binomial distribution with 10 trials and probability of success 0.5.

BinomialDistribution(int n, double p)
This general constructor creates the binomial distribution with a specified number of trials and probabiltiy of success.

Method Summary

double	getCDF(double x) This method computes the cumulative distribution function in terms of the beta cumulative distribution function.
double	getDensity(double x) This method computes the probability density function in terms of the number of trials and the probability of success.
double	getFactorialMoment(int k) This method returns the factorial moment of a specified order.
double	getMaxDensity() This method returns the maximum value of the density function.
double	getMean() This method computes the mean in terms of the number of trials and the probability of success.
double	getMGF(double t) This method computes the moment generating function in terms of the probability generating function.
double	getPGF(double t) This method computes the probability generating function in terms of the number of trials and the probability of success.
double	getProbability() This method returns the probability of success.
int	getTrials() This method returns the number of trials.
double	getVariance() This method computes the variance in terms of the probability of success and the number of trials.
void	setParameters(int n, double p) This method sets the number of trials and the probability of success, and computes the default domain.
void	setProbability(double p) This method sets the probability of success.
void	setTrials(int n) This method sets the number of trails.
double	simulate() This method simulates the 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, getMoment, getMoment, getQuantile, getSD, getType, setDomain, setDomain

Methods inherited from class java.lang.Object

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

Constructor Detail

BinomialDistribution

public BinomialDistribution(int n,
                            double p)

This general constructor creates the binomial distribution with a specified number of trials and probabiltiy of success.

Parameters:

n - the number of trials

p - the probability of success

BinomialDistribution

public BinomialDistribution()

This default constructor creates the binomial distribution with 10 trials and probability of success 0.5.

Method Detail

setParameters

public void setParameters(int n,
                          double p)

This method sets the number of trials and the probability of success, and computes the default domain.

setTrials

public void setTrials(int n)

This method sets the number of trails.

Parameters:

n - the number of trials

getTrials

public int getTrials()

This method returns the number of trials.

Returns:

the number of trials

setProbability

public void setProbability(double p)

This method sets the probability of success.

Parameters:

p - the probability of success

getProbability

public double getProbability()

This method returns the probability of success.

Returns:

the probability of success

getDensity

public double getDensity(double x)

This method computes the probability density function in terms of the number of trials and the probability of success.

Specified by:

getDensity in class Distribution

Parameters:

x - a number in the domain of the distribuiton

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 probability density function

getMean

public double getMean()

This method computes the mean in terms of the number of trials and the probability of success.

Overrides:

getMean in class Distribution

Returns:

the mean

getVariance

public double getVariance()

This method computes the variance in terms of the probability of success and the number of trials.

Overrides:

getVariance in class Distribution

Returns:

the variance

getCDF

public double getCDF(double x)

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

Overrides:

getCDF in class Distribution

Parameters:

x - a number in the domain of the distribution

Returns:

the cumulative probability at x

simulate

public double simulate()

This method simulates the a value from the distribution. This is done by simulating the Bernoulli trials and counting the number of successes.

Overrides:

simulate in class Distribution

Returns:

a simulated value from the distribution

getPGF

public double getPGF(double t)

This method computes the probability generating function in terms of the number of trials and the probability of success.

Overrides:

getPGF in class Distribution

Parameters:

t - a real number

Returns:

the probability generating function at t

getMGF

public double getMGF(double t)

This method computes the moment generating function in terms of the probability generating function.

Overrides:

getMGF in class Distribution

Parameters:

t - a real number

Returns:

the moment generating function at t

getFactorialMoment

public double getFactorialMoment(int k)

This method returns the factorial moment of a specified order.

Parameters:

k - the order

Returns:

the factorial moment of order k

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