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:

[legend]

Collaboration diagram for ns3::ParetoVariable:

[legend]

List of all members.

Public Member Functions
	ParetoVariable ()
	Constructs a pareto random variable with a mean of 1 and a shape parameter of 1.5.
	ParetoVariable (double m)
	Constructs a pareto random variable with specified mean and shape parameter of 1.5.
	ParetoVariable (double m, double s)
	Constructs a pareto random variable with the specified mean value and shape parameter. Beware, s must be strictly greater than 1.
	ParetoVariable (double m, double s, double b)
	Constructs a pareto random variable with the specified mean value, shape (alpha), and upper bound. Beware, s must be strictly greater than 1.
	ParetoVariable (std::pair< double, double > params)
	Constructs a pareto random variable with the specified scale and shape parameters.
	ParetoVariable (std::pair< double, double > params, double b)
	Constructs a pareto random variable with the specified scale, shape (alpha), and upper bound.

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 ( 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. Beware, s must be strictly greater than 1.

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. Beware, s must be strictly greater than 1.

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

ns3::ParetoVariable::ParetoVariable ( std::pair< double, double > params )

Constructs a pareto random variable with the specified scale and shape parameters.

Parameters:

params

the two parameters, respectively scale and shape, of the distribution

ns3::ParetoVariable::ParetoVariable	(	std::pair< double, double >	params,
		double	b
	)

Constructs a pareto random variable with the specified scale, 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:

	params	the two parameters, respectively scale and shape, of the distribution
	b	Upper limit on returned values

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

Detailed Description

Constructor & Destructor Documentation

ns3::ParetoVariable Class Reference
[Random Variable Distributions]