GLOSSARY

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LaTeX Math Block
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\bar \mu_n = \frac{\mu_n}{\sigma^n}, \ \ n \geq 3

where 

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bodyN

dataset length

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bodyE

expectation operator

LaTeX Math Inline
body\mu_n

n-order of central momentum

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body\sigma

standard deviation


The concept makes sense only for the central momentums of higher oder than 

LaTeX Math Inline
bodyn \geq 3
, since lower order central momentums  
LaTeX Math Inline
body\bar \mu_0 \equiv 1/\sigma
,
LaTeX Math Inline
body\bar \mu_1 \equiv 0
,
LaTeX Math Inline
body\bar \mu_2 \equiv 1
 are trivial and do not carry additional information on dataset distribution.

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