ikr.simlib.distributions.discrete

Class DiscreteUniformDistribution

java.lang.Object

ikr.simlib.distributions.Distribution

ikr.simlib.distributions.discrete.DiscreteDistribution

ikr.simlib.distributions.discrete.DiscreteUniformDistribution

All Implemented Interfaces:

ReflectionConstructable, ReflectionConstructable3<SimNode,Parameters,RandomNumberGenerator>

public class DiscreteUniformDistribution
extends DiscreteDistribution

Discrete Uniform Distribution

Meaning:	All integer values \(i\) in the interval \(b_l \le i < b_u \) (\(b_l\) and \(b_u\) being also integer values) have the same probability \(\frac{1}{b_u-b_l}\)
Parameters:	lower limit \(b_l\) upper limit \(b_u > b_l\)
Distribution:	\(P(X=i) = \begin{cases} \frac{1}{b_u-b_l} &\mbox{for } b_l \le i < b_u \\ 0 & \mbox{else } \end{cases} \)
Expected value:	\(E[X]=\frac{b_l+b_u-1}{2} \)
Variance:	\(VAR[X]=\frac{(b_u-b_l-1) \cdot (b_u-b_l+1)}{12}\)
Coefficient of variation:	\(c_X=\frac{ \sqrt{ (b_u-b_l-1) \cdot (b_u-b_l+1) } }{ \sqrt{3} \cdot (b_l+b_u-1)}\)
Generating func.:	\(G(z)=z^{b_l}+...+z^{b_u-1} \)
Parser example:	[...].Distribution = ikr.simlib.distributions.discrete.DiscreteUniformDistribution [...].Distribution.LowerBound = 3 [...].Distribution.UpperBound = 7

Field Summary

Fields

Modifier and Type	Field and Description
int	interval
int	lowerBound

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
DiscreteUniformDistribution(int lowerBound, int upperBound)
DiscreteUniformDistribution(int lowerBound, int upperBound, RandomNumberGenerator rng)

Method Summary

Methods

Modifier and Type	Method and Description
static DiscreteUniformDistribution	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

Field Detail

lowerBound

public final int lowerBound

interval

public final int interval

Constructor Detail

DiscreteUniformDistribution

public DiscreteUniformDistribution(int lowerBound,
                           int upperBound,
                           RandomNumberGenerator rng)

DiscreteUniformDistribution

public DiscreteUniformDistribution(int lowerBound,
                           int upperBound)

Method Detail

createInstance

public static DiscreteUniformDistribution 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