MathPHP\Probability\Distribution\Continuous\F::PDF PHP Метод

PDF() публичный статический Метод

__________________ (d₁ x)ᵈ¹ d₂ᵈ² ---------------- √ (d₁ x + d₂)ᵈ¹⁺ᵈ² --------------------- d₁ d₂ \ x B | --, -- | \ 2 2 /
public static PDF ( number $x, integer $d₁, integer $d₂ ) : number
$x number percentile ≥ 0
$d₁ integer degree of freedom v1 > 0
$d₂ integer degree of freedom v2 > 0
Результат number probability
    public static function PDF($x, int $d₁, int $d₂)
    {
        Support::checkLimits(self::LIMITS, ['x' => $x, 'd₁' => $d₁, 'd₂' => $d₂]);
        // Numerator
        $⟮d₁x⟯ᵈ¹d₂ᵈ² = ($d₁ * $x) ** $d₁ * $d₂ ** $d₂;
        $⟮d₁x+d₂⟯ᵈ¹⁺ᵈ² = ($d₁ * $x + $d₂) ** ($d₁ + $d₂);
        $√⟮d₁x⟯ᵈ¹d₂ᵈ²/⟮d₁x+d₂⟯ᵈ¹⁺ᵈ² = sqrt($⟮d₁x⟯ᵈ¹d₂ᵈ² / $⟮d₁x+d₂⟯ᵈ¹⁺ᵈ²);
        // Denominator
        $xB⟮d₁/2、d₂/2⟯ = $x * Special::beta($d₁ / 2, $d₂ / 2);
        return $√⟮d₁x⟯ᵈ¹d₂ᵈ²/⟮d₁x+d₂⟯ᵈ¹⁺ᵈ² / $xB⟮d₁/2、d₂/2⟯;
    }