KURTOSIS

The KURTOSIS function computes the statistical kurtosis of an n-element vector. Kurtosis is defined as the degree to which a statistical frequency curve is peaked. KURTOSIS calls the IDL function MOMENT.

Note
KURTOSIS subtracts 3 from the raw kurtosis value since 3 is the kurtosis for a Gaussian (normal) distribution. For resulting values, positive values of the kurtosis (leptokurtic) indicate pointed or peaked distributions. Negative values (platykurtic) indicate flattened or non-peaked distributions.

Syntax

Result = KURTOSIS(X [, /DOUBLE] [, /NAN] )

Return Value

Returns the floating point or double precision statistical kurtosis. If the variance of the vector is zero, the kurtosis is not defined, and KURTOSIS returns !VALUES.F_NAN as the result.

Arguments

X

An n-element, floating-point or double-precision vector.

Keywords

DOUBLE

If this keyword is set, computations are performed in double precision arithmetic.

NAN

Set this keyword to cause the routine to check for occurrences of the IEEE floating-point values NaN or Infinity in the input data. Elements with the value NaN or Infinity are treated as missing data. (See Special Floating-Point Values (Application Programming) for more information on IEEE floating-point values.)

Examples

; Define the n-element vector of sample data:
x = [65, 63, 67, 64, 68, 62, 70, 66, 68, 67, 69, 71, 66, 65, 70]
; Compute the kurtosis:
result = KURTOSIS(x)
; Print the result:
PRINT, result

IDL prints

-1.18258

Version History


5.1	Introduced