MathPHP\Probability\Distribution\Continuous\Beta::PDF PHP Method

PDF() public static method

xᵃ⁻¹(1 - x)ᵝ⁻¹ pdf = -------------- B(α,β)
public static PDF ( number $x, number , number ) : float
$x number x ∈ (0,1)
number shape parameter α > 0
number shape parameter β > 0
return float
    public static function PDF($x, $α, $β)
    {
        Support::checkLimits(self::LIMITS, ['x' => $x, 'α' => $α, 'β' => $β]);
        $xᵃ⁻¹ = pow($x, $α - 1);
        $⟮1 − x⟯ᵝ⁻¹ = pow(1 - $x, $β - 1);
        $B⟮α、β⟯ = Special::beta($α, $β);
        return $xᵃ⁻¹ * $⟮1 − x⟯ᵝ⁻¹ / $B⟮α、β⟯;
    }