cppdraft_translate/cppdraft/rand/dist/norm/t.md

[rand.dist.norm.t]

29 Numerics library [numerics]

29.5 Random number generation [rand]

29.5.9 Random number distribution class templates [rand.dist]

29.5.9.5 Normal distributions [rand.dist.norm]

29.5.9.5.6 Class template student_t_distribution [rand.dist.norm.t]

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

p(x|n)=1√nπâ‹Î“((n+1)/2)Γ(n/2)â‹(1+x2n)−(n+1)/2(29.18)

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namespace std {templateclass student_t_distribution {public:// typesusing 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 operatorsfriend bool operator==(const student_t_distribution& x, const student_t_distribution& y); // generating functionstemplate result_type operator()(URBG& g); template 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 extractorstemplate<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); };}

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explicit student_t_distribution(RealType n);

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Preconditions: 0<n.

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Remarks: n corresponds to the parameter of the distribution.

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RealType n() const;

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