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The concept makes sense only for the central momentums of higher oder than
, since lower order
central momentums | LaTeX Math Inline |
|---|
| body | \bar \mu_0 \equiv 1/\sigma |
|---|
|
,
,
are trivial and do not carry additional information on
dataset distribution.
The most popular application is the 3-rd order The third order normalized central momentum is characterizing asymmetry of the variance
| LaTeX Math Inline |
|---|
| body | --uriencoded--\mu_3 = \bar \mu_3 \cdot \sigma%5e3 |
|---|
|
,
where is skewnesswhich is called skewness and characterizes asymmetry of the dataset distribution.
See also
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Formal science / Mathematics / Statistics / Statistical Metric
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