[rand.dist.norm.f]

A fisher_f_distribution random number distribution produces random numbers

x \geq 0

distributed according to the probability density function

$p (x | m, n) = \frac{Γ ((m + n) / 2)}{Γ (m / 2) Γ (n / 2)} \cdot {(\frac{m}{n})}^{m / 2} \cdot x^{(m / 2) - 1} \cdot {(1 + \frac{m x}{n})}^{- (m + n) / 2} .$

template<class RealType = double>
  class fisher_f_distribution {
  public:
    // types
    using result_type = RealType;
    using param_type  = unspecified;

    // constructor and reset functions
    explicit fisher_f_distribution(RealType m = 1, RealType n = 1);
    explicit fisher_f_distribution(const param_type& parm);
    void reset();

    // 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 m() const;
    RealType n() const;
    param_type param() const;
    void param(const param_type& parm);
    result_type min() const;
    result_type max() const;
  };

🔗

explicit fisher_f_distribution(RealType m = 1, RealType n = 1);

2

#

Requires:

0 < m

and

0 < n

.

3

#

Effects: Constructs a fisher_f_distribution object; m and n correspond to the respective parameters of the distribution.

4

#

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

5

#

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

29 Numerics library [numerics]

29.6 Random number generation [rand]

29.6.8 Random number distribution class templates [rand.dist]

29.6.8.5 Normal distributions [rand.dist.norm]

29.6.8.5.5 Class template fisher_f_distribution [rand.dist.norm.f]

29 Numerics library [numerics]

29.6 Random number generation [rand]

29.6.8 Random number distribution class templates [rand.dist]

29.6.8.5 Normal distributions [rand.dist.norm]

29.6.8.5.5 Class template fisher_­f_­distribution [rand.dist.norm.f]

29.6.8.5.5 Class template fisher_f_distribution [rand.dist.norm.f]