Vector::Skewness Method

Vector Struct

Overload List

#SignatureDescription
1double Skewness(double AMean, double AStdDev) const;Skewness (third central momentum).
2double Skewness(double AMean, double AStdDev, int Index, int Len) const;Calculate the skewness for elements [Index]..[Index+Len-1].

Overload 1: double Skewness(double AMean, double AStdDev) const;

Skewness (third central momentum).

#NameTypeDescription
1AMeandouble
2AStdDevdouble
Remarks:

Calculate the calling object skewness by using mean value AMean and standard deviation AStdDev. Skewness is the third central moment, divided by third power of standard deviation:

Skewness=1σ3∑k=0Length−1(V[k]−⟨V⟩)3,where ⟨V⟩=mean value\text{Skewness}=\frac{1}{\sigma ^3} \sum _{k=0} ^{\text{Length}-1}\left( V[k] -\langle V\rangle \right)^3 ,\quad \text{where } \langle V \rangle = \text{mean value}
See Also: Vector::Kurtosis, Vector::Mean, Vector::StdDev
Declared in Dew::Math::Vector · Dew.Math/MtxExpr.h · Cross-compiler

Overload 2: double Skewness(double AMean, double AStdDev, int Index, int Len) const;

Calculate the skewness for elements [Index]..[Index+Len-1].

#NameTypeDescription
1AMeandouble
2AStdDevdouble
3Indexint
4Lenint
Remarks:

An exception is raised if Vector::ConditionCheck is True and array borders are overrun. The AMean and AStdDev parameters must be computed from the same elements from which the Skewness is to be computed.

Declared in Dew::Math::Vector · Dew.Math/MtxExpr.h · Cross-compiler