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. More...
#include <random-variable.h>
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. |
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 [,+inf) as: where is called the location parameter and is called the pareto index or shape.
The parameter can be infered from the mean and the parameter with the equation .
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
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
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.
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.
m | Mean value | |
s | Shape parameter | |
b | Upper limit on returned values |