Module org.arakhne.afc.core.mathstochastic

Package org.arakhne.afc.math.stochastic

Class BernoulliStochasticLaw

java.lang.Object

org.arakhne.afc.math.stochastic.StochasticLaw

org.arakhne.afc.math.stochastic.BernoulliStochasticLaw

All Implemented Interfaces:

MathFunction, MathInversableFunction, JsonableObject

public class BernoulliStochasticLaw
extends StochasticLaw

Law that representes a Bernoulli density.

Bernoulli distribution with parameter p is defined for x=0 and x=1:
F(x) = p.x + (1-p)(1-x) = (2p-1).x - p + 1
This distribution returns 0 or 1 with probability (1-p) and p, respectively.

This class uses the uniform random number distribution provider by Random.

Since:

13.0

Version:

17.0 2020-01-04 14:41:41

Author:

Christophe BOHRHAUER

Maven Group Id:

org.arakhne.afc.core

Maven Artifact Id:

mathstochastic

Field Summary

Fields inherited from class org.arakhne.afc.math.stochastic.StochasticLaw

NAME_NAME

Constructor Summary

Constructors

Constructor	Description
BernoulliStochasticLaw(double p)	Construct a law with the p parameter.
BernoulliStochasticLaw(Map<String,String> parameters)	Construct a law with the following parameters.

Method Summary

Modifier and Type	Method	Description
double	f(double x)	Replies the value of the function.
MathFunctionRange[]	getRange()	Replies the range of the function.
double	inverseF(double u)	Replies the x according to the value of the distribution function.
static double	random(double p)	Replies a random value that respect the current stochastic law.
void	toJson(JsonBuffer buffer)	Replies the Json representation of this node.

Methods inherited from class org.arakhne.afc.math.stochastic.StochasticLaw

generateRandomValue, getLawName, inverseF, paramBoolean, paramDouble, toString

Methods inherited from class java.lang.Object

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

Constructor Detail

BernoulliStochasticLaw

public BernoulliStochasticLaw(Map<String,String> parameters)
                       throws LawParameterNotFoundException

Construct a law with the following parameters.

• p

Parameters:

parameters - is the set of accepted paramters.

Throws:

LawParameterNotFoundException - if the list of parameters does not permits to create the law.

BernoulliStochasticLaw

public BernoulliStochasticLaw(double p)

Construct a law with the p parameter.

Parameters:

p - is the probability where the value is 1

Method Detail

random

@Pure
public static double random(double p)
                     throws MathException

Replies a random value that respect the current stochastic law.

Parameters:

p - is the probability where the value is 1

Returns:

a value depending of the stochastic law parameters

Throws:

MathException - when error in the math definition.

f

@Pure
public double f(double x)
         throws MathException

Description copied from interface: MathFunction

Replies the value of the function.

Parameters:

x - the x.

Returns:

the value of f(x).

Throws:

MathException - in case f(x) could not be computed

getRange

@Pure
public MathFunctionRange[] getRange()

Description copied from interface: MathFunction

Replies the range of the function.

Returns:

a array of ranges. It corresponds to a list of couples that defined the set of valid values.

inverseF

@Pure
public double inverseF(double u)
                throws MathException

Replies the x according to the value of the distribution function.

Specified by:

inverseF in interface MathInversableFunction

Specified by:

inverseF in class StochasticLaw

Parameters:

u - is a value given by the uniform random variable generator U(0, 1).

Returns:

F<sup>-1</sup>(u)

Throws:

MathException - in case F<sup>-1</sup>(u) could not be computed

toJson

@Pure
public void toJson(JsonBuffer buffer)

Description copied from interface: JsonableObject

Replies the Json representation of this node.

Parameters:

buffer - the Json buffer.