std::tr1::gamma_distribution(3)

NAME

std::tr1::gamma_distribution

template<typename _RealType = double> class std::tr1::gamma_distribution<: _RealType >
The formula for the gamma probability mass function is $ p(x) =
ac{1}{Gamma(lpha)} x^{lpha - 1} e^{-x} $.; Definition at line 2285 of file random.
Public Types: typedef _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 ()
Friends: template<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)

template<typename _RealType = double> std::tr1::gamma_distribution<: _RealType >::gamma_distribution (const result_type & __alpha_val = result_type(1)) [inline, explicit] Constructs a gamma distribution with parameters $ lpha $.; Definition at line 2297 of file random.

template<typename _RealType = double> _RealType: std::tr1::gamma_distribution< _RealType >::alpha () const [inline] Gets the $ lpha $ of the distribution.; Definition at line 2308 of file random.
template<typename _RealType> template<class _UniformRandomNumberGenerator>: gamma_distribution< _RealType >::result_type std::tr1::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 1471 of file random.tcc.
template<typename _RealType = double> void std::tr1::gamma_distribution<: _RealType >::reset () [inline] Resets the distribution.; Definition at line 2315 of file 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 2347 of file random.

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