ikr.simlib.distributions.discrete

Class BinomialDistribution

java.lang.Object

ikr.simlib.distributions.Distribution

ikr.simlib.distributions.discrete.DiscreteDistribution

ikr.simlib.distributions.discrete.BinomialDistribution

All Implemented Interfaces:

ReflectionConstructable, ReflectionConstructable3<SimNode,Parameters,RandomNumberGenerator>

public class BinomialDistribution
extends DiscreteDistribution

Binomial Distribution

Meaning:	Probability for $i$ successes in $n$ Bernoulli trials with the parameter $q(0 \le q \le 1)$
Parameters:	success probability $q(0 < q \le 1$ number of trials $n > 0$ Alternative: mean $E[X] \ge 0$ and variance $VAR[X] (0 \le VAR[X] \le E[X]$ parameters: $q = 1- \frac{VAR[X]}{E[X]}$ $n = \frac{(E[X])^2}{E[X] - VAR[X]}$
Distribution:	$P(X=i) = \binom{n}{i} \cdot q^i \cdot (1-q)^{n-i}$
Expected value:	$E[X]= nq$
Variance:	$VAR[X]= nq(1-q)$
Coefficient of variation:	$c_T= \sqrt{ \frac{ 1-q }{nq} }$
Generating func.:	$G(z)= (1-q+qz)^n$
Parser example:	[...].Distribution = Binomial [...].Distribution.Mean = 15.0 [...].Distribution.Variance = 10.5

Field Summary

Fields inherited from class ikr.simlib.distributions.Distribution

rng

Fields inherited from interface ikr.simlib.parameters.reflection.ReflectionConstructable

CREATE_INSTANCE_METHOD_NAME

Constructor Summary

Constructors

Constructor and Description
BinomialDistribution(double mean, double variance)
BinomialDistribution(double mean, double variance, RandomNumberGenerator rng)
BinomialDistribution(double p, int upperBound)
BinomialDistribution(double p, int upperBound, RandomNumberGenerator rng)

Method Summary

Methods

Modifier and Type	Method and Description
static BinomialDistribution	createInstance(SimNode ownNode, Parameters pars, RandomNumberGenerator rng) as required by ReflectionConstructable
int	next() Create random numbers

Methods inherited from class ikr.simlib.distributions.Distribution

getDefaultRNG, getRandomNumberGenerator, reset

Methods inherited from class java.lang.Object

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

Constructor Detail

BinomialDistribution

public BinomialDistribution(double mean,
                    double variance,
                    RandomNumberGenerator rng)

BinomialDistribution

public BinomialDistribution(double mean,
                    double variance)

BinomialDistribution

public BinomialDistribution(double p,
                    int upperBound,
                    RandomNumberGenerator rng)

BinomialDistribution

public BinomialDistribution(double p,
                    int upperBound)

Method Detail

createInstance

public static BinomialDistribution createInstance(SimNode ownNode,
                                  Parameters pars,
                                  RandomNumberGenerator rng)

as required by ReflectionConstructable

next

public int next()

Description copied from class: DiscreteDistribution

Create random numbers

Specified by:

next in class DiscreteDistribution