Zipf Distributed Random VariableZipfVariable defines a discrete random variable with Zipf distribution. More...

#include <random-variable.h>

Inheritance diagram for ns3::ZipfVariable:

Collaboration diagram for ns3::ZipfVariable:

Public Member Functions
	ZipfVariable (long N, double alpha)
	Returns a Zipf random variable with parameters N and alpha.
	ZipfVariable ()

Detailed Description

Zipf Distributed Random Variable

ZipfVariable defines a discrete random variable with Zipf distribution.

The Zipf's law states that given some corpus of natural language utterances, the frequency of any word is inversely proportional to its rank in the frequency table.

Zipf's distribution have two parameters, alpha and N, where: $\alpha > 0$ (real) and $N \in \{1,2,3 \dots\}$ (integer). Probability Mass Function is $f(k; \alpha, N) = k^{-\alpha}/ H_{N,\alpha}$ where $H_{N,\alpha} = \sum_{n=1}^N n^{-\alpha}$

Constructor & Destructor Documentation

ns3::ZipfVariable::ZipfVariable	(	long	N,
		double	alpha
	)

Returns a Zipf random variable with parameters N and alpha.

Parameters:

	N	the number of possible items. Must be a positive integer.
	alpha	the alpha parameter. Must be a strictly positive real.

ns3::ZipfVariable::ZipfVariable ( )

Constructs a Zipf random variable with N=1 and alpha=0.

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

src/core/random-variable.h

ns3::ZipfVariable Class Reference [Random Variable Distributions]

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

ns3::ZipfVariable Class Reference
[Random Variable Distributions]