26 Numerics library [numerics]
26.5 Random number generation [rand]
26.5.8 Random number distribution class templates [rand.dist]
26.5.8.5 Normal distributions [rand.dist.norm]
26.5.8.5.6 Class template student_t_distribution [rand.dist.norm.t]
A student_t_distribution random number distribution
produces random numbers x
distributed according to
the probability density function
![\[%
p(x\,|\,n)
= \frac{1}
{\sqrt{n \pi}}
\cdot \frac{\Gamma\big((n+1)/2\big)}
{\Gamma(n/2)}
\cdot \left( 1+\frac{x^2}{n} \right) ^ {-(n+1)/2}
\; \mbox{.}
\]](math/7766040669647665344.png)
template<class RealType = double>
class student_t_distribution{
public:
// types
typedef RealType result_type;
typedef unspecified param_type;
// constructor and reset functions
explicit student_t_distribution(RealType n = 1);
explicit student_t_distribution(const param_type& parm);
void reset();
// generating functions
template<class URNG>
result_type operator()(URNG& g);
template<class URNG>
result_type operator()(URNG& 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;
};
Requires: 0 < n .
Effects: Constructs a student_t_distribution object; n corresponds to the parameter of the distribution.
Returns: The value of the n parameter with which the object was constructed.