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std::poisson_distribution< _IntType > Class Template Reference
Poisson Distributions

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Detailed Description

template<typename _IntType = int>
class std::poisson_distribution< _IntType >

A discrete Poisson random number distribution.

The formula for the Poisson probability density function is $p(i|\mu) = \frac{\mu^i}{i!} e^{-\mu}$ where $\mu$ is the parameter of the distribution.

Definition at line 3964 of file random.h.

Member Typedef Documentation

template<typename _IntType = int>
typedef _IntType std::poisson_distribution< _IntType >::result_type

The type of the range of the distribution.

Definition at line 3971 of file random.h.

Member Function Documentation

template<typename _IntType = int>
result_type std::poisson_distribution< _IntType >::max ( ) const [inline]

Returns the least upper bound value of the distribution.

Definition at line 4058 of file random.h.

Referenced by std::binomial_distribution< _IntType >::operator()(), and std::poisson_distribution< _IntType >::operator()().

template<typename _IntType = int>
double std::poisson_distribution< _IntType >::mean ( ) const [inline]

Returns the distribution parameter mean.

Definition at line 4029 of file random.h.

template<typename _IntType = int>
result_type std::poisson_distribution< _IntType >::min ( ) const [inline]

Returns the greatest lower bound value of the distribution.

Definition at line 4051 of file random.h.

template<typename _IntType = int>
template<typename _UniformRandomNumberGenerator >
result_type std::poisson_distribution< _IntType >::operator() ( _UniformRandomNumberGenerator &  __urng) [inline]

Generating functions.

Definition at line 4066 of file random.h.

References std::poisson_distribution< _IntType >::operator()(), and std::poisson_distribution< _IntType >::param().

Referenced by std::poisson_distribution< _IntType >::operator()().

template<typename _IntType >
template<typename _UniformRandomNumberGenerator >
poisson_distribution< _IntType >::result_type std::poisson_distribution< _IntType >::operator() ( _UniformRandomNumberGenerator &  __urng,
const param_type &  __param 
)

A rejection algorithm when mean >= 12 and a simple method based upon the multiplication of uniform random variates otherwise. NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1 is defined.

Reference: Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, New York, 1986, Ch. X, Sects. 3.3 & 3.4 (+ Errata!).

Definition at line 1204 of file random.tcc.

References std::abs(), std::log(), and std::poisson_distribution< _IntType >::max().

template<typename _IntType = int>
param_type std::poisson_distribution< _IntType >::param ( ) const [inline]

Returns the parameter set of the distribution.

Definition at line 4036 of file random.h.

Referenced by std::poisson_distribution< _IntType >::operator()().

template<typename _IntType = int>
void std::poisson_distribution< _IntType >::param ( const param_type &  __param) [inline]

Sets the parameter set of the distribution.

Parameters:
__paramThe new parameter set of the distribution.

Definition at line 4044 of file random.h.

template<typename _IntType = int>
void std::poisson_distribution< _IntType >::reset ( ) [inline]

Resets the distribution state.

Definition at line 4022 of file random.h.

References std::normal_distribution< _RealType >::reset().

Friends And Related Function Documentation

template<typename _IntType = int>
template<typename _IntType1 , typename _CharT , typename _Traits >
std::basic_ostream<_CharT, _Traits>& operator<< ( std::basic_ostream< _CharT, _Traits > &  __os,
const std::poisson_distribution< _IntType1 > &  __x 
) [friend]

Inserts a poisson_distribution random number distribution __x into the output stream __os.

Parameters:
__osAn output stream.
__xA poisson_distribution random number distribution.
Returns:
The output stream with the state of __x inserted or in an error state.
template<typename _IntType = int>
template<typename _IntType1 >
bool operator== ( const std::poisson_distribution< _IntType1 > &  __d1,
const std::poisson_distribution< _IntType1 > &  __d2 
) [friend]

Return true if two Poisson distributions have the same parameters and the sequences that would be generated are equal.

Definition at line 4081 of file random.h.

template<typename _IntType = int>
template<typename _IntType1 , typename _CharT , typename _Traits >
std::basic_istream<_CharT, _Traits>& operator>> ( std::basic_istream< _CharT, _Traits > &  __is,
std::poisson_distribution< _IntType1 > &  __x 
) [friend]

Extracts a poisson_distribution random number distribution __x from the input stream __is.

Parameters:
__isAn input stream.
__xA poisson_distribution random number generator engine.
Returns:
The input stream with __x extracted or in an error state.
The documentation for this class was generated from the following files: