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

PDF() публичный статический Метод

1 -------------- x⁽ᵏ/²⁾⁻¹ ℯ⁻⁽ˣ/²⁾ χ²(k) = / k \ 2ᵏ/² Γ | - | \ 2 /
public static PDF ( number $x, integer $k ) : number
$x number point at which to evaluate > 0
$k integer degrees of freedom > 0
Результат number probability
    public static function PDF($x, int $k)
    {
        Support::checkLimits(self::LIMITS, ['x' => $x, 'k' => $k]);
        // Numerator
        $x⁽ᵏ/²⁾⁻¹ = $x ** ($k / 2 - 1);
        $ℯ⁻⁽ˣ/²⁾ = exp(-($x / 2));
        // Denominator
        $2ᵏ/² = 2 ** ($k / 2);
        $Γ⟮k/2⟯ = Special::Γ($k / 2);
        return $x⁽ᵏ/²⁾⁻¹ * $ℯ⁻⁽ˣ/²⁾ / ($2ᵏ/² * $Γ⟮k/2⟯);
    }