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

PDF() публичный статический Метод

ν + 1 \ Γ | ----- | \ 2 / / x² \ ⁻⁽ᵛ⁺¹⁾/² ------------- | 1 + -- | __ / ν \ \ ν / √νπ Γ | - | \ 2 /
public static PDF ( number $x, integer )
$x number percentile
integer degrees of freedom > 0
    public static function PDF($x, int $ν)
    {
        Support::checkLimits(self::LIMITS, ['x' => $x, 'ν' => $ν]);
        $π = \M_PI;
        // Numerator
        $Γ⟮⟮ν+1⟯∕2⟯ = Special::gamma(($ν + 1) / 2);
        $⟮1+x²∕ν⟯ = 1 + $x ** 2 / $ν;
        $−⟮ν+1⟯∕2 = -($ν + 1) / 2;
        // Denominator
        $√⟮νπ⟯ = sqrt($ν * $π);
        $Γ⟮ν∕2⟯ = Special::gamma($ν / 2);
        return $Γ⟮⟮ν+1⟯∕2⟯ * $⟮1+x²∕ν⟯ ** $−⟮ν+1⟯∕2 / ($√⟮νπ⟯ * $Γ⟮ν∕2⟯);
    }