theplu::yat::random::Poisson Class Reference

Poisson Distribution. More...

#include <yat/random/random.h>

Inheritance diagram for theplu::yat::random::Poisson:

List of all members.

Public Member Functions
	Poisson (const double m=1)
	Constructor.
unsigned long	operator() (void) const
unsigned long	operator() (const double m) const
void	seed (unsigned long s) const
	Set the seed to s.
unsigned long	seed_from_devurandom (void)
	Set the seed using the /dev/urandom device.
Protected Attributes
RNG *	rng_
	GSL random gererator.

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Detailed Description

Poisson Distribution.

Having a Poisson process (i.e. no memory), number of occurences within a given time window is Poisson distributed. This distribution is the limit of a Binomial distribution when number of attempts is large, and the probability for one attempt to be succesful is small (in such a way that the expected number of succesful attempts is .

Probability function for
Expectation value:
Variance:

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Constructor & Destructor Documentation

theplu::yat::random::Poisson::Poisson

(

const double

m = 1

)

[explicit]

Constructor.

Parameters:

m

is expectation value

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Member Function Documentation

unsigned long theplu::yat::random::Poisson::operator()

(

const double

m

)

const

Returns:

A Poisson distributed number with expectation value m

Note:

this operator ignores parameters set in Constructor

unsigned long theplu::yat::random::Poisson::operator()

(

void

)

const [virtual]

Returns:

A Poisson distributed number.

Implements theplu::yat::random::Discrete.

void theplu::yat::random::Discrete::seed

(

unsigned long

s

)

const [inherited]

Set the seed to s.

Set the seed to s in the underlying rng. If s is zero, a default value from the rng's original implementation is used (cf. GSL documentation).

See also:

seed_from_devurandom, RNG::seed_from_devurandom, RNG::seed

unsigned long theplu::yat::random::Discrete::seed_from_devurandom

(

void

)

[inherited]

Set the seed using the /dev/urandom device.

Returns:

The seed acquired from /dev/urandom.

See also:

seed, RNG::seed_from_devurandom, RNG::seed

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

• yat/random/random.h