(1)	$\begin{array}{l}\displaystyle S_3 = \bar \mu_3(\delta x) = \bar \mu_3(x-\hat x)\end{array}$

where

$\begin{array}{l}x = \{ x_1, \, x_2, \, x_3 , ... x_N \}\end{array}$	numerical dataset, representing the samples of property $\begin{array}{l}x\end{array}$
$\begin{array}{l}\hat x = \{ \hat x_1, \, \hat x_2, \, \hat x_3 , ... \hat x_N \}\end{array}$	model prediction of property $\begin{array}{l}x\end{array}$
$\begin{array}{l}\delta x = x - \hat x\end{array}$	discrepancy dataset
$\begin{array}{l}\bar \mu_3(\delta x)\end{array}$	3-rd order standardized central momentum of the discrepancy dataset $\begin{array}{l}\delta x\end{array}$

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See also