Matrix::Kurtosis Method

Matrix Struct

Overload List

#SignatureDescription
1double Kurtosis(double AMean, double AStdDev) const;The Kurtosis (fourth central momentum).
2double Kurtosis(double AMean, double AStdDev, int Index, int Len) const;Calculate the kurtosis for elements [Index]..[Index+Len-1].

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

The Kurtosis (fourth central momentum).

#NameTypeDescription
1AMeandouble
2AStdDevdouble
Remarks:

Calculate the calling object kurtosis by using mean value AMean and standard deviation AStdDev. Kurtosis is the fourth central moment, divided by fourth power of standard deviation:

Kurtosis=1σ4∑k=0Length−1(V[k]−⟨V⟩)4,where ⟨V⟩=mean value\text{Kurtosis}=\frac{1}{\sigma ^4} \sum _{k=0} ^{\text{Length}-1}\left( V[k] -\langle V\rangle \right)^4 ,\quad \text{where } \langle V \rangle = \text{mean value}
See Also: Matrix::Skewness, Matrix::Mean, Matrix::StdDev
Declared in Dew::Math::Matrix · Dew.Math/MtxExpr.h · Cross-compiler

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

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

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

An exception is raised if Matrix::ConditionCheck is True and array borders are overrun. The AMean and AStdDev passed as parameters must be computed from the same elements (Index, Len) as the Kurtosis itself.

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