PHP Class MathPHP\Probability\Distribution\Continuous\ChiSquared

Inheritance: extends Continuous
Show file Open project: markrogoyski/math-php Class Usage Examples

Public Methods

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

Method Details

CDF() public static method

Cumulative t value up to a point, left tail. k x \ γ | - , - | \ 2 2 / CDF = ------------- k \ Γ | - | \ 2 /
public static CDF ( number $x, integer $k ) : number
$x number Chi-square critical value (CV) > 0
$k integer degrees of freedom > 0
return number cumulative probability

PDF() public static method

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
return number probability

mean() public static method

μ = k
public static mean ( integer $k ) : integer
$k integer degrees of freedom > 0
return integer k