edu.ucla.stat.SOCR.distributions

Class BinomialDistribution

java.lang.Object

edu.ucla.stat.SOCR.core.SOCRValueSettable

edu.ucla.stat.SOCR.core.Distribution

edu.ucla.stat.SOCR.distributions.BinomialDistribution

All Implemented Interfaces:

IValueSettable, Pluginable, java.util.Observer

Direct Known Subclasses:

BernoulliDistribution

public class BinomialDistribution
extends Distribution

The binomial distribution with specified parameters: the number of trials (n) and the probability of success (p) http://mathworld.wolfram.com/BinomialDistribution.html .

Field Summary

Fields inherited from class edu.ucla.stat.SOCR.core.Distribution

applet, CONTINUOUS, DISCRETE, MAXMGFXVAL, MAXMGFYVAL, MINMGFXVAL, MIXED, name

Constructor Summary

Constructors

Constructor and Description
BinomialDistribution() Default constructor: creates the binomial distribution with 10 trials and probability of success 1/2
BinomialDistribution(double[] distData)
BinomialDistribution(float[] distData)
BinomialDistribution(int n, double p) General constructor: creates the binomial distribution with specified parameters

Method Summary

Methods

Modifier and Type	Method and Description
double	getCDF(double x) Specify the CDF in terms of the beta CDF
double	getDensity(double x) Define the binomial getDensity function
double	getMaxDensity() Specify the maximum getDensity
double	getMean() Give the mean in closed form
double	getMGF(double t) Computes the moment generating function in closed form for a parameter t which lies in the domain of the distribution.
double	getMode() Give the Mode in closed form
java.lang.String	getOnlineDescription() This method returns an online description of this distribution.
double	getPGF(double t) Computes the probability generating function in closed form for a parameter t which lies in the domain of the distribution.
double	getProbability() Get the probability of success
double	getSD() Specify the SD in close form
int	getTrials() Get the number of trials
double	getVariance() Specify the variance in close form
void	initialize() used for some subclass to initialize before being used
double	inverseCDF(double probability) Inverse of the cumulative Poisson distribution function.
void	paramEstimate(double[] distData) overwrites the method in Distribution for estimating parameters
void	setParameters(int n, double p) Set the parameters
void	setProbability(double p) Set the probability of success
void	setTrials(int n) Set the number of trails
double	simulate() Simulate the binomial distribution as the number of successes in n trials
void	valueChanged()

Methods inherited from class edu.ucla.stat.SOCR.core.Distribution

addObserver, betaCDF, comb, factorial, findGFRoot, findRoot, gamma, gammaCDF, getDisplayPane, getDomain, getFailureRate, getGFDerivative, getGFSecondDerivative, getInstance, getLocalHelp, getMean, getMedian, getMgfDomain, getName, getPGFDomain, getQuantile, getSampleMoment, getSOCRDistributionFunctors, getSOCRDistributions, getType, getVariance, logGamma, perm, sampleMean, sampleVar, setApplet, setDomain, setDomain, setMGFDomain, setMGFDomain, setMGFParameters, setMGFParameters, setMGFParameters, setMGFParameters, setParameters, setPGFDomain, setPGFDomain, setPGFParameters, setPGFParameters, setPGFParameters, setPGFParameters, update, valueChanged

Methods inherited from class edu.ucla.stat.SOCR.core.SOCRValueSettable

createComponentSetter, createValueSetter, createValueSetter, createValueSetter, createValueSetter, getComponentSetter, getComponentSetters, getValueSetter, getValueSetters

Methods inherited from class java.lang.Object

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

Constructor Detail

BinomialDistribution

public BinomialDistribution()

Default constructor: creates the binomial distribution with 10 trials and probability of success 1/2

BinomialDistribution

public BinomialDistribution(int n,
                    double p)

General constructor: creates the binomial distribution with specified parameters

BinomialDistribution

public BinomialDistribution(double[] distData)

BinomialDistribution

public BinomialDistribution(float[] distData)

Method Detail

initialize

public void initialize()

Description copied from class: Distribution

used for some subclass to initialize before being used

Overrides:

initialize in class Distribution

valueChanged

public void valueChanged()

Overrides:

valueChanged in class Distribution

setParameters

public void setParameters(int n,
                 double p)

Set the parameters

setTrials

public void setTrials(int n)

Set the number of trails

getTrials

public int getTrials()

Get the number of trials

setProbability

public void setProbability(double p)

Set the probability of success

getProbability

public double getProbability()

Get the probability of success

getDensity

public double getDensity(double x)

Define the binomial getDensity function

Specified by:

getDensity in class Distribution

getMaxDensity

public double getMaxDensity()

Specify the maximum getDensity

Overrides:

getMaxDensity in class Distribution

getMean

public double getMean()

Give the mean in closed form

Overrides:

getMean in class Distribution

getMode

public double getMode()

Give the Mode in closed form

getVariance

public double getVariance()

Specify the variance in close form

Overrides:

getVariance in class Distribution

getSD

public double getSD()

Specify the SD in close form

Overrides:

getSD in class Distribution

getMGF

public double getMGF(double t)

Computes the moment generating function in closed form for a parameter t which lies in the domain of the distribution.

Overrides:

getMGF in class Distribution

getPGF

public double getPGF(double t)

Computes the probability generating function in closed form for a parameter t which lies in the domain of the distribution.

Overrides:

getPGF in class Distribution

getCDF

public double getCDF(double x)

Specify the CDF in terms of the beta CDF

Overrides:

getCDF in class Distribution

inverseCDF

public double inverseCDF(double probability)

Inverse of the cumulative Poisson distribution function.

Overrides:

inverseCDF in class Distribution

Parameters:

probability - - a probability value in [0, 1]

Returns:

the value X for which P(x<X).

simulate

public double simulate()

Simulate the binomial distribution as the number of successes in n trials

Overrides:

simulate in class Distribution

paramEstimate

public void paramEstimate(double[] distData)

overwrites the method in Distribution for estimating parameters

Overrides:

paramEstimate in class Distribution

Parameters:

distData - array of raw data

getOnlineDescription

public java.lang.String getOnlineDescription()

This method returns an online description of this distribution.

Overrides:

getOnlineDescription in class Distribution