Zeta Distributed Distributed Random VariableZetaVariable defines a discrete random variable with Zeta distribution. More...

#include <random-variable.h>

Inheritance diagram for ns3::ZetaVariable:

Public Member Functions
	ZetaVariable (double alpha)
	Returns a Zeta random variable with parameter alpha. More...

	ZetaVariable ()

Public Member Functions inherited from ns3::RandomVariable
	RandomVariable (const RandomVariable &o)

uint32_t	GetInteger (void) const
	Returns a random integer integer from the underlying distribution. More...

double	GetValue (void) const
	Returns a random double from the underlying distribution. More...

RandomVariable &	operator= (const RandomVariable &o)

Additional Inherited Members
Protected Member Functions inherited from ns3::RandomVariable
	RandomVariable (const RandomVariableBase &variable)

RandomVariableBase *	Peek (void) const

Detailed Description

Zeta Distributed Distributed Random Variable

ZetaVariable defines a discrete random variable with Zeta distribution.

The Zeta distribution is closely related to Zipf distribution when N goes to infinity.

Zeta distribution has one parameter, alpha, $\alpha > 1$ (real). Probability Mass Function is $f(k; \alpha) = k^{-\alpha}/\zeta(\alpha)$ where $\zeta(\alpha)$ is the Riemann zeta function ( $\sum_{n=1}^\infty n^{-\alpha} )$