ParetoVariable distributed random varThis class supports the creation of objects that return random numbers from a fixed pareto distribution. It also supports the generation of single random numbers from various pareto distributions. More...

#include <random-variable.h>

Inheritance diagram for ns3::ParetoVariable:

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Collaboration diagram for ns3::ParetoVariable:

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List of all members.

Public Member Functions
	ParetoVariable ()
	ParetoVariable (double m)
	ParetoVariable (double m, double s)
	ParetoVariable (double m, double s, double b)
	Constructs a pareto random variable with the specified mean.
Static Public Member Functions
static double	GetSingleValue (double m, double s, double b=0)

Detailed Description

ParetoVariable distributed random var

This class supports the creation of objects that return random numbers from a fixed pareto distribution. It also supports the generation of single random numbers from various pareto distributions.

The probability density function is defined over the range [ $x_m$ ,+inf) as: $k \frac{x_m^k}{x^{k+1}}$ where $x_m > 0$ is called the location parameter and $ k > 0$ is called the pareto index or shape.

The parameter $ x_m $ can be infered from the mean and the parameter $ k $ with the equation $x_m = mean \frac{k-1}{k}, k > 1$ .

 ParetoVariable x(3.14);
 x.GetValue();  //will always return with mean 3.14
 ParetoVariable::GetSingleValue(20.1); //returns with mean 20.1
 ParetoVariable::GetSingleValue(108); //returns with mean 108

Constructor & Destructor Documentation

ns3::ParetoVariable::ParetoVariable ( )

Constructs a pareto random variable with a mean of 1 and a shape parameter of 1.5

ns3::ParetoVariable::ParetoVariable ( double m ) [explicit]

Constructs a pareto random variable with specified mean and shape parameter of 1.5

Parameters:

m

Mean value of the distribution

ns3::ParetoVariable::ParetoVariable	(	double	m,
		double	s
	)

Constructs a pareto random variable with the specified mean value and shape parameter.

Parameters:

	m	Mean value of the distribution
	s	Shape parameter for the distribution

ns3::ParetoVariable::ParetoVariable	(	double	m,
		double	s,
		double	b
	)

Constructs a pareto random variable with the specified mean.

value, shape (alpha), and upper bound. Since pareto distributions can theoretically return unbounded values, it is sometimes useful to specify a fixed upper limit. Note however when the upper limit is specified, the true mean of the distribution is slightly smaller than the mean value specified.

Parameters:

	m	Mean value
	s	Shape parameter
	b	Upper limit on returned values

Member Function Documentation

static double ns3::ParetoVariable::GetSingleValue	(	double	m,
		double	s,
		double	b = `0`
	)			`[static]`

Parameters:

	m	The mean value of the distribution from which the return value is drawn.
	s	The shape parameter of the distribution from which the return value is drawn.
	b	The upper bound to which to restrict return values

Returns:: A random number from a Pareto distribution with mean m and shape parameter s.

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

src/core/random-variable.h

ns3::ParetoVariable Class Reference [Random Variable Distributions]

Public Member Functions

Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

ns3::ParetoVariable Class Reference
[Random Variable Distributions]