[rand.dist.norm.t]

A student_t_distribution random number distribution produces random numbers x distributed according to the probability density function in Formula 29.18 .

\begin{matrix} p (x | n) = \frac{1 \sqrt{n π \cdot Γ ((n + 1) / 2) Γ (n / 2) \cdot {(1 + {x 2 n) - (n + 1) / 2 (29.18)}^{2 n}}}}{\sqrt{n π \cdot Γ ((n + 1) / 2) Γ (n / 2) \cdot {(1 + {x 2 n) - (n + 1) / 2 (29.18)}^{2 n}}}} \end{matrix}

🔗

namespace std { template<class RealType = double> class student_t_distribution { public: / types using result_type = RealType; using param_type = unspecified; / constructor and reset functions student_t_distribution() : student_t_distribution(1.0) {} explicit student_t_distribution(RealType n); explicit student_t_distribution(const param_type& parm); void reset(); / equality operators friend bool operator=(const student_t_distribution& x, const student_t_distribution& y); / generating functions template<class URBG> result_type operator()(URBG& g); template<class URBG> result_type operator()(URBG& g, const param_type& parm); / property functions RealType n() const; param_type param() const; void param(const param_type& parm); result_type min() const; result_type max() const; / inserters and extractors template<class charT, class traits> friend basic_ostream<charT, traits>& operator<(basic_ostream<charT, traits>& os, const student_t_distribution& x); template<class charT, class traits> friend basic_istream<charT, traits>& operator>(basic_istream<charT, traits>& is, student_t_distribution& x); }; }

🔗

explicit student_t_distribution(RealType n);

Remarks: n corresponds to the parameter of the distribution.

🔗

RealType n() const;

Returns: The value of the n parameter with which the object was constructed.