std::gamma_distribution.3 - Online Linux Manual Page

std::gamma_distribution - Online Linux Manual PageSection : 3
Updated : 19 Jun 2018
Source : libstdc++

NAMEstd::gamma_distribution − A gamma continuous distribution for random numbers.

SYNOPSIS

Public Typestypedef _RealType input_type
typedef _RealType result_type

Public Member Functions_RealType alpha () const
gamma_distribution (const result_type &__alpha_val=result_type(1))
template<class _UniformRandomNumberGenerator > result_type operator() (_UniformRandomNumberGenerator &__urng)
void reset ()

Friendstemplate<typename _RealType1 , typename _CharT , typename _Traits > std::basic_ostream< _CharT, _Traits > & operator<< (std::basic_ostream< _CharT, _Traits > &__os, const gamma_distribution< _RealType1 > &__x)
template<typename _CharT , typename _Traits > std::basic_istream< _CharT, _Traits > & operator>> (std::basic_istream< _CharT, _Traits > &__is, gamma_distribution &__x)

Detailed Description

template<typename _RealType = double> class std::gamma_distribution< _RealType >A gamma continuous distribution for random numbers. The formula for the gamma probability mass function is $ p(x) = \frac{1}{\Gamma(\alpha)} x^{\alpha - 1} e^{-x} $. Definition at line 2320 of file tr1_impl/random.

Constructor & Destructor Documentation

template<typename _RealType = double> std::gamma_distribution< _RealType >::gamma_distribution (const result_type & __alpha_val = result_type(1)) [inline, explicit] Constructs a gamma distribution with parameters $ \alpha $.Definition at line 2332 of file tr1_impl/random.

Member Function Documentation

template<typename _RealType = double> _RealType std::gamma_distribution< _RealType >::alpha () const [inline] Gets the $ \alpha $ of the distribution.Definition at line 2343 of file tr1_impl/random.

template<typename _RealType > template<class _UniformRandomNumberGenerator > gamma_distribution< _RealType >::result_type std::gamma_distribution< _RealType >::operator() (_UniformRandomNumberGenerator & __urng) [inline] Cheng's rejection algorithm GB for alpha >= 1 and a modification of Vaduva's rejection from Weibull algorithm due to Devroye for alpha < 1.References: Cheng, R. C. 'The Generation of Gamma Random Variables with Non-integral
Shape Parameter.' Applied Statistics, 26, 71-75, 1977. Vaduva, I. 'Computer Generation of Gamma Gandom Variables by Rejection
and Composition Procedures.' Math. Operationsforschung and Statistik, Series in Statistics, 8, 545-576, 1977. Devroye, L. 'Non-Uniform Random Variates Generation.' Springer-Verlag, New York, 1986, Ch. IX, Sect. 3.4 (+ Errata!). Definition at line 1501 of file random.tcc. References std::exp(), std::log(), and std::pow().

template<typename _RealType = double> void std::gamma_distribution< _RealType >::reset () [inline] Resets the distribution.Definition at line 2350 of file tr1_impl/random.

template<typename _RealType = double> template<typename _RealType1 , typename _CharT , typename _Traits > std::basic_ostream<_CharT, _Traits>& operator<< (std::basic_ostream< _CharT, _Traits > & __os, const gamma_distribution< _RealType1 > & __x) [friend] Inserts a gamma_distribution random number distribution __x into the output stream __os.Parameters: __os An output stream.
__x A gamma_distribution random number distribution. Returns: The output stream with the state of __x inserted or in an error state.

template<typename _RealType = double> template<typename _CharT , typename _Traits > std::basic_istream<_CharT, _Traits>& operator>> (std::basic_istream< _CharT, _Traits > & __is, gamma_distribution< _RealType > & __x) [friend] Extracts a gamma_distribution random number distribution __x from the input stream __is.Parameters: __is An input stream.
__x A gamma_distribution random number generator engine. Returns: The input stream with __x extracted or in an error state. Definition at line 2382 of file tr1_impl/random.

AuthorGenerated automatically by Doxygen for libstdc++ from the source code. 0

Johanes Gumabo

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ERROR : Need New Coding : (rof_escape_sequence|91|std::gamma_distribution.3|54|\frac{1}{\Gamma(\alpha)} x^{\alpha - 1} e^{-x} $. |The formula for the gamma probability mass function is $ p(x) = \frac{1}{\Gamma(\alpha)} x^{\alpha - 1} e^{-x} $. ) (rof_escape_sequence|91|std::gamma_distribution.3|59|\alpha $. |.SS "template \fBstd::gamma_distribution\fP< _RealType >::\fBgamma_distribution\fP (const result_type & __alpha_val = \fCresult_type(1)\fP)\fC [inline, explicit]\fP"Constructs a gamma distribution with parameters $ \alpha $. ) (rof_escape_sequence|91|std::gamma_distribution.3|64|\alpha $ of the distribution. |.SS "template _RealType \fBstd::gamma_distribution\fP< _RealType >::alpha () const\fC [inline]\fP"Gets the $ \alpha $ of the distribution. )