MomentSkewKurtosis

Return 4 first moments of distribution

Declaration

Source position: math.pp line 535

  procedure MomentSkewKurtosis(const data: Array of Single; 
                              out m1: Float; out m2: Float; 
                              out m3: Float; out m4: Float; 
                              out skew: Float; out kurtosis: Float);
  procedure MomentSkewKurtosis(const data: PSingle; const N: Integer; 
                              out m1: Float; out m2: Float; 
                              out m3: Float; out m4: Float; 
                              out skew: Float; out kurtosis: Float);
  procedure MomentSkewKurtosis(const data: Array of Double; 
                              out m1: Float; out m2: Float; 
                              out m3: Float; out m4: Float; 
                              out skew: Float; out kurtosis: Float);
  procedure MomentSkewKurtosis(const data: PDouble; const N: Integer; 
                              out m1: Float; out m2: Float; 
                              out m3: Float; out m4: Float; 
                              out skew: Float; out kurtosis: Float);
  procedure MomentSkewKurtosis(const data: Array of Extended; 
                              out m1: Float; out m2: Float; 
                              out m3: Float; out m4: Float; 
                              out skew: Float; out kurtosis: Float);
  procedure MomentSkewKurtosis(const data: PExtended; const N: Integer; 
                              out m1: Float; out m2: Float; 
                              out m3: Float; out m4: Float; 
                              out skew: Float; out kurtosis: Float);

Description

momentskewkurtosis calculates the 4 first moments of the distribution of value in data and returns them in m1,m2,m3 and m4, as well as the skew and kurtosis.

Errors

None.

See also

Name	Description
mean	Return mean value of array
meanandstddev	Return mean and standard deviation of array

Example

program Example32;
{ Program to demonstrate the momentskewkurtosis function. }
uses math;
var distarray:array[1..1000] of float;
    I:longint;
    m1,m2,m3,m4,skew,kurtosis:float;
begin
  randomize;
  for I:=low(distarray) to high(distarray) do
    distarray[i]:=random;
  momentskewkurtosis(DistArray,m1,m2,m3,m4,skew,kurtosis);
  Writeln ('1st moment : ',m1:8:6);
  Writeln ('2nd moment : ',m2:8:6);
  Writeln ('3rd moment : ',m3:8:6);
  Writeln ('4th moment : ',m4:8:6);
  Writeln ('Skew       : ',skew:8:6);
  Writeln ('kurtosis   : ',kurtosis:8:6);
end.