PHP Class MathPHP\Probability\Distribution\Continuous\F

Inheritance: extends Continuous
显示文件 Open project: markrogoyski/math-php Class Usage Examples

Public Methods

Method Description
CDF ( number $x, integer $d₁, integer $d₂ ) : number Cumulative distribution function
PDF ( number $x, integer $d₁, integer $d₂ ) : number Probability density function
mean ( integer $d₁, integer $d₂ ) : number Mean of the distribution

Method Details

CDF() public static method

d₁ d₂ \ I | --, -- | ᵈ¹ˣ \ 2 2 / ------ ᵈ¹ˣ⁺ᵈ² Where I is the regularized incomplete beta function.
public static CDF ( 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
return number

PDF() public static method

__________________ (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
return number probability

mean() public static method

d₂ μ = ------ for d₂ > 2 d₂ - 2
public static mean ( integer $d₁, integer $d₂ ) : number
$d₁ integer degree of freedom v1 > 0
$d₂ integer degree of freedom v2 > 0
return number