AdvancedMathLeftRegularizedGamma Method

public static double LeftRegularizedGamma(
	double a,
	double x
)

Public Shared Function LeftRegularizedGamma ( 
	a As Double,
	x As Double
) As Double

public:
static double LeftRegularizedGamma(
	double a, 
	double x
)

static member LeftRegularizedGamma : 
        a : float * 
        x : float -> float 

Parameters

a  Double

The shape parameter, which must be non-negative.

x  Double

The argument, which must be non-negative.

Return Value

The incomplete Gamma function is obtained by carrying out the Gamma function integration from zero to some finite value x, instead of to infinity. The function is normalized by dividing by the complete integral, so the function ranges from 0 to 1 as x ranges from 0 to infinity.

For sufficiently high values of x, this function becomes 1 within floating point precision. To determine its deviation from 1 in this region, use the complementary function RightRegularizedGamma(Double, Double).

For a=ν/2 and x=χ²/2, this function is the CDF of the χ² distribution with ν degrees of freedom.

Reference