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java.lang.Objectorg.apache.commons.math3.distribution.AbstractIntegerDistribution
org.apache.commons.math3.distribution.BinomialDistribution
public class BinomialDistribution
Implementation of the binomial distribution.
| Field Summary |
|---|
| Fields inherited from class org.apache.commons.math3.distribution.AbstractIntegerDistribution |
|---|
random, randomData |
| Constructor Summary | |
|---|---|
BinomialDistribution(int trials,
double p)
Create a binomial distribution with the given number of trials and probability of success. |
|
BinomialDistribution(RandomGenerator rng,
int trials,
double p)
Creates a binomial distribution. |
|
| Method Summary | |
|---|---|
double |
cumulativeProbability(int x)
For a random variable X whose values are distributed according
to this distribution, this method returns P(X <= x). |
int |
getNumberOfTrials()
Access the number of trials for this distribution. |
double |
getNumericalMean()
Use this method to get the numerical value of the mean of this distribution. |
double |
getNumericalVariance()
Use this method to get the numerical value of the variance of this distribution. |
double |
getProbabilityOfSuccess()
Access the probability of success for this distribution. |
int |
getSupportLowerBound()
Access the lower bound of the support. |
int |
getSupportUpperBound()
Access the upper bound of the support. |
boolean |
isSupportConnected()
Use this method to get information about whether the support is connected, i.e. |
double |
probability(int x)
For a random variable X whose values are distributed according
to this distribution, this method returns P(X = x). |
| Methods inherited from class org.apache.commons.math3.distribution.AbstractIntegerDistribution |
|---|
cumulativeProbability, inverseCumulativeProbability, reseedRandomGenerator, sample, sample, solveInverseCumulativeProbability |
| Methods inherited from class java.lang.Object |
|---|
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
| Constructor Detail |
|---|
public BinomialDistribution(int trials,
double p)
trials - Number of trials.p - Probability of success.
NotPositiveException - if trials < 0.
OutOfRangeException - if p < 0 or p > 1.
public BinomialDistribution(RandomGenerator rng,
int trials,
double p)
rng - Random number generator.trials - Number of trials.p - Probability of success.
NotPositiveException - if trials < 0.
OutOfRangeException - if p < 0 or p > 1.| Method Detail |
|---|
public int getNumberOfTrials()
public double getProbabilityOfSuccess()
public double probability(int x)
X whose values are distributed according
to this distribution, this method returns P(X = x). In other
words, this method represents the probability mass function (PMF)
for the distribution.
x - the point at which the PMF is evaluated
xpublic double cumulativeProbability(int x)
X whose values are distributed according
to this distribution, this method returns P(X <= x). In other
words, this method represents the (cumulative) distribution function
(CDF) for this distribution.
x - the point at which the CDF is evaluated
xpublic double getNumericalMean()
n trials and probability parameter p, the mean is
n * p.
Double.NaN if it is not definedpublic double getNumericalVariance()
n trials and probability parameter p, the variance is
n * p * (1 - p).
Double.POSITIVE_INFINITY or
Double.NaN if it is not defined)public int getSupportLowerBound()
inverseCumulativeProbability(0). In other words, this
method must return
inf {x in Z | P(X <= x) > 0}.
p = 1.
public int getSupportUpperBound()
inverseCumulativeProbability(1). In other words, this
method must return
inf {x in R | P(X <= x) = 1}.
p = 0.
public boolean isSupportConnected()
true
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