std::student_t_distribution - Man Page

A student_t_distribution random number distribution.

Synopsis

#include <random>

Classes

struct param_type

Public Types

typedef _RealType result_type

Public Member Functions

student_t_distribution (_RealType __n)
student_t_distribution (const param_type &__p)
template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > void __generate (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng)
template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > void __generate (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng, const param_type &__p)
template<typename _UniformRandomNumberGenerator > void __generate (result_type *__f, result_type *__t, _UniformRandomNumberGenerator &__urng)
template<typename _UniformRandomNumberGenerator > void __generate (result_type *__f, result_type *__t, _UniformRandomNumberGenerator &__urng, const param_type &__p)
result_type max () const
Returns the least upper bound value of the distribution.
result_type min () const
Returns the greatest lower bound value of the distribution.
_RealType n () const
template<typename _UniformRandomNumberGenerator > result_type operator() (_UniformRandomNumberGenerator &__urng)
Generating functions.
template<typename _UniformRandomNumberGenerator > result_type operator() (_UniformRandomNumberGenerator &__urng, const param_type &__p)
param_type param () const
Returns the parameter set of the distribution.
void param (const param_type &__param)
Sets the parameter set of the distribution.
void reset ()
Resets the distribution state.

Friends

template<typename _RealType1 , typename _CharT , typename _Traits > std::basic_ostream< _CharT, _Traits > & operator<< (std::basic_ostream< _CharT, _Traits > &__os, const std::student_t_distribution< _RealType1 > &__x)
Inserts a student_t_distribution random number distribution __x into the output stream __os.
bool operator== (const student_t_distribution &__d1, const student_t_distribution &__d2)
Return true if two Student t distributions have the same parameters and the sequences that would be generated are equal.
template<typename _RealType1 , typename _CharT , typename _Traits > std::basic_istream< _CharT, _Traits > & operator>> (std::basic_istream< _CharT, _Traits > &__is, std::student_t_distribution< _RealType1 > &__x)
Extracts a student_t_distribution random number distribution __x from the input stream __is.

Detailed Description

template<typename _RealType = double>

class std::student_t_distribution< _RealType >"A student_t_distribution random number distribution.

The formula for the normal probability mass function is:    [
   p(x|n) = ac{1}{sqrt(npi)} ac{Gamma((n+1)/2)}{Gamma(n/2)}
            (1 + ac{x^2}{n}) ^{-(n+1)/2}  ]

Since

C++11

Member Typedef Documentation

template<typename _RealType  = double> _RealType std::student_t_distribution< _RealType >::result_type

The type of the range of the distribution.

Member Function Documentation

template<typename _RealType  = double> result_type std::student_t_distribution< _RealType >::max () const [inline]

Returns the least upper bound value of the distribution.

References std::numeric_limits< _Tp >::max().

template<typename _RealType  = double> result_type std::student_t_distribution< _RealType >::min () const [inline]

Returns the greatest lower bound value of the distribution.

References std::numeric_limits< _Tp >::lowest().

template<typename _RealType  = double> template<typename _UniformRandomNumberGenerator > result_type std::student_t_distribution< _RealType >::operator() (_UniformRandomNumberGenerator & __urng) [inline]

Generating functions.

References std::sqrt().

template<typename _RealType  = double> param_type std::student_t_distribution< _RealType >::param () const [inline]

Returns the parameter set of the distribution.

template<typename _RealType  = double> void std::student_t_distribution< _RealType >::param (const param_type & __param) [inline]

Sets the parameter set of the distribution.

Parameters

__param The new parameter set of the distribution.

template<typename _RealType  = double> void std::student_t_distribution< _RealType >::reset () [inline]

Resets the distribution state.

References std::gamma_distribution< _RealType >::reset(), and std::normal_distribution< _RealType >::reset().

Author

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Info

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