Class DiscreteDistribution

java.lang.Object

org.episteme.core.mathematics.statistics.DiscreteDistribution

All Implemented Interfaces:

Function<Real,Real>, ContinuousFunction<Real,Real>, Function<Real,Real>, Relation<Real,Real>, ProbabilityDistribution

Direct Known Subclasses:

BinomialDistribution, GeometricDistribution, PoissonDistribution

public abstract class DiscreteDistribution
extends Object
implements ProbabilityDistribution

Abstract base class for discrete probability distributions.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
DiscreteDistribution()

Method Summary

Modifier and Type	Method	Description
Real	cdf(Real x)	Cumulative distribution function (CDF).
boolean	isDiscrete()	Is this a discrete or continuous distribution?
Real	quantile(Real probability)	Quantile function (inverse CDF).
Real	sample()	Generate random sample from this distribution.

Methods inherited from class Object

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

Methods inherited from interface ContinuousFunction

isContinuous

Methods inherited from interface Function

compose

Methods inherited from interface Function

andThen, apply, compose, contains, evaluate, getBackend, isDifferentiable, setBackend

Methods inherited from interface ProbabilityDistribution

density, evaluate, mean, standardDeviation, variance

Methods inherited from interface Relation

getCodomain, getDomain

Constructor Details

DiscreteDistribution

public DiscreteDistribution()

Method Details

isDiscrete

public boolean isDiscrete()

Description copied from interface: ProbabilityDistribution

Is this a discrete or continuous distribution?

Specified by:

isDiscrete in interface ProbabilityDistribution

Returns:

true if discrete, false if continuous

cdf

public Real cdf(Real x)

Description copied from interface: ProbabilityDistribution

Cumulative distribution function (CDF). F(x) = P(X ≤ x)

Specified by:

cdf in interface ProbabilityDistribution

Parameters:

x - the value to evaluate CDF at

Returns:

the cumulative probability

quantile

public Real quantile(Real probability)

Description copied from interface: ProbabilityDistribution

Quantile function (inverse CDF). Q(p) = F⁻¹(p)

Specified by:

quantile in interface ProbabilityDistribution

Parameters:

probability - the cumulative probability (0 to 1)

Returns:

the value x such that P(X ≤ x) = p

sample

public Real sample()

Description copied from interface: ProbabilityDistribution

Generate random sample from this distribution.

Specified by:

sample in interface ProbabilityDistribution

Returns:

a random sample