Kurtosis is normally defined as beta_2 as given in

http://mathworld.wolfram.com/Kurtosis.html

This appears to be the definition in statfns.ijs.

The variant definition may be an unbiased estimator from a sample.  The
funny denominator is probably there for an analagous reason to estimating
the population variance from a sample:

S^2=(1/(n-1)) sum (x_i- xbar)^2

is an unbiased estimator of the population variance, but with denominator
n it is not.

Best wishes,

John

Tarmo Veskioja wrote:
> A definition of kurtosis is given in statfns.ijs :
>
> NB. kurtosis = 4th moment coefficient
> kurtosis=: # * +/@(^&4)@dev % *:@ssdev
>
> There seems to be a different definition of kurtosis given in the
> Electronic Textbook from Statsoft:
> http://www.statsoft.com/textbook/stathome.html
> or more precisely at the bottom of page:
> http://www.statsoft.com/textbook/glosi.html
>
> Can anyone confirm and explain the difference?
>
> Thanks,
> Tarmo
>
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