ns3::LogNormalVariable Class Reference
[Random Variable Distributions]

Log-normal Distributed random varLogNormalVariable defines a random variable with log-normal distribution. If one takes the natural logarithm of random variable following the log-normal distribution, the obtained values follow a normal distribution. This class supports the creation of objects that return random numbers from a fixed lognormal distribution. It also supports the generation of single random numbers from various lognormal distributions. More...

#include <random-variable.h>

Inheritance diagram for ns3::LogNormalVariable:

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Collaboration diagram for ns3::LogNormalVariable:

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List of all members.

Public Member Functions
	LogNormalVariable (double mu, double sigma)

Detailed Description

Log-normal Distributed random var

LogNormalVariable defines a random variable with log-normal distribution. If one takes the natural logarithm of random variable following the log-normal distribution, the obtained values follow a normal distribution. This class supports the creation of objects that return random numbers from a fixed lognormal distribution. It also supports the generation of single random numbers from various lognormal distributions.

The probability density function is defined over the interval [0,+inf) as: $\frac{1}{x\sigma\sqrt{2\pi}} e^{-\frac{(ln(x) - \mu)^2}{2\sigma^2}}$ where $mean = e^{\mu+\frac{\sigma^2}{2}}$ and $variance = (e^{\sigma^2}-1)e^{2\mu+\sigma^2}$

The $\mu$ and $\sigma$ parameters can be calculated from the mean and standard deviation with the following equations: $\mu = ln(mean) - \frac{1}{2}ln\left(1+\frac{stddev}{mean^2}\right)$ , and, $\sigma = \sqrt{ln\left(1+\frac{stddev}{mean^2}\right)}$

Constructor & Destructor Documentation

ns3::LogNormalVariable::LogNormalVariable	(	double	mu,
		double	sigma
	)

Parameters:

	mu	mu parameter of the lognormal distribution
	sigma	sigma parameter of the lognormal distribution

The documentation for this class was generated from the following file:

src/core/random-variable.h

ns3::LogNormalVariable Class Reference [Random Variable Distributions]

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

ns3::LogNormalVariable Class Reference
[Random Variable Distributions]