Package org.opentrafficsim.core.dsol

Class DistNormalTrunc

java.lang.Object

nl.tudelft.simulation.jstats.distributions.Dist

nl.tudelft.simulation.jstats.distributions.DistContinuous

org.opentrafficsim.core.dsol.DistNormalTrunc

All Implemented Interfaces:

java.io.Serializable

public class DistNormalTrunc
extends DistContinuous

The Normal Truncated distribution. For more information on the normal distribution see http://mathworld.wolfram.com/NormalDistribution.html

This version of the normal distribution uses the numerically approached inverse cumulative distribution.

(c) copyright 2002-2018 Delft University of Technology , the Netherlands.
See for project information www.simulation.tudelft.nl
License of use: Lesser General Public License (LGPL) , no warranty.

Author:

Alexander Verbraeck
Wouter Schakel

See Also:

Serialized Form

Field Summary

Fields inherited from class nl.tudelft.simulation.jstats.distributions.Dist

stream

Constructor Summary

Constructors

Constructor	Description
DistNormalTrunc(StreamInterface stream, double min, double max)	constructs a normal distribution with mu=0 and sigma=1.
DistNormalTrunc(StreamInterface stream, double mu, double sigma, double min, double max)	constructs a normal distribution with mu and sigma.

Method Summary

Modifier and Type	Method	Description
double	draw()
double	getCumulativeProbability(double x)	returns the cumulative probability of the x-value.
double	getInverseCumulativeProbability(double cumulativeProbability)	returns the x-value of the given cumulativePropability.
static void	main(java.lang.String[] args)	Test.
double	probDensity(double x)
java.lang.String	toString()

Methods inherited from class nl.tudelft.simulation.jstats.distributions.Dist

getStream

Methods inherited from class java.lang.Object

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

Constructor Detail

DistNormalTrunc

public DistNormalTrunc(StreamInterface stream,
                       double min,
                       double max)

constructs a normal distribution with mu=0 and sigma=1. Errors of various types, e.g., in the impact point of a bomb; quantities that are the sum of a large number of other quantities by the virtue of the central limit theorem.

Parameters:

stream - StreamInterface; the numberstream

min - double; minimum x-value of the distribution

max - double; maximum x-value of the distribution

DistNormalTrunc

public DistNormalTrunc(StreamInterface stream,
                       double mu,
                       double sigma,
                       double min,
                       double max)

constructs a normal distribution with mu and sigma.

Parameters:

stream - StreamInterface; the numberstream

mu - double; the medium

sigma - double; the standard deviation

min - double; minimum x-value of the distribution

max - double; maximum x-value of the distribution

Method Detail

draw

public double draw()

Specified by:

draw in class DistContinuous

getCumulativeProbability

public double getCumulativeProbability(double x)

returns the cumulative probability of the x-value.

Parameters:

x - double; the observation x

Returns:

double the cumulative probability

getInverseCumulativeProbability

public double getInverseCumulativeProbability(double cumulativeProbability)

returns the x-value of the given cumulativePropability.

Parameters:

cumulativeProbability - double; reflects cum prob

Returns:

double the inverse cumulative probability

probDensity

public double probDensity(double x)

Specified by:

probDensity in class DistContinuous

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

main

public static void main(java.lang.String[] args)

Test.

Parameters:

args - String[]; args