@wikipedia
A set of statistical metrics, characterizing the average deviation of the numerical values in the given dataset | LaTeX Math Inline |
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| body | --uriencoded--x = \%7B x_1, \, x_2, \, x_3 , ... x_N \%7D |
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from its Mean Value :
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\bar \mu_n = \frac{\mu_n}{\sigma^n}, \ \ n \geq 3 |
where
The concept makes sense only for the central momentums of higher oder than
, since lower order
central momentums | LaTeX Math Inline |
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| body | \bar \mu_0 \equiv 1/\sigma |
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,
,
are trivial and do not carry additional information on
dataset distribution.
The most popular application is the 3-rd order standardized central momentum
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| body | --uriencoded--\mu_3 = \bar \mu_3 \cdot \sigma%5e3 |
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, which is called
skewness and characterizes asymmetry of the
dataset distribution.
See also
Formal science / Mathematics / Statistics / Statistical Metric / Central momentum
