[Overview][Constants][Types][Classes][Procedures and functions] Reference for unit 'math' (#rtl)

momentskewkurtosis

Return 4 first moments of distribution

Declaration

Source position: line 0

procedure momentskewkurtosis(

  const data: array [] of float;

  var m1: float;

  var m2: float;

  var m3: float;

  var m4: float;

  var skew: float;

  var kurtosis: float

);

procedure momentskewkurtosis(

  const data: PFloat;

  const N: Integer;

  var m1: float;

  var m2: float;

  var m3: float;

  var m4: float;

  var skew: float;

  var kurtosis: float

);

Description

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

Errors

None.

See also

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:=1 to 1000 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.