TMtx::Kurtosis Method

TMtx Class

Overload List

#SignatureDescription
1double Kurtosis(TMtxVec *Src, const double AMean, const double AStdDev, const int Index, const int Len);
2double Kurtosis(const double AMean, const double AStdDev);The Kurtosis (fourth central momentum).
3double Kurtosis(const double AMean, const double AStdDev, int Index, int Len);Calculate the kurtosis for elements [Index]..[Index+Len-1].

Overload 1: double Kurtosis(TMtxVec *Src, const double AMean, const double AStdDev, const int Index, const int Len);

#NameTypeDescription
1SrcTMtxVec *
2AMeanconst double
3AStdDevconst double
4Indexconst int
5Lenconst int
Declared in Dew::Math::TMtxVec · Dew.Math/AbstractMtxVec.h · Cross-compiler

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

The Kurtosis (fourth central momentum).

#NameTypeDescription
1AMeanconst double
2AStdDevconst double
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: TMtx::Skewness, TMtx::Mean, TMtx::StdDev
Declared in Dew::Math::TDenseMtxVec · Dew.Math/AbstractMtxVec.h · Cross-compiler

Overload 3: double Kurtosis(const double AMean, const double AStdDev, int Index, int Len);

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

#NameTypeDescription
1AMeanconst double
2AStdDevconst double
3Indexint
4Lenint
Remarks:

An exception is raised if TMtx::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::TDenseMtxVec · Dew.Math/AbstractMtxVec.h · Cross-compiler