Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.
LaTeX Math Block
anchor1
alignmentleft
S_3 = \bar \mu_3(\delta x) = \hatbar \mu_3(x-\hat x)

where where

LaTeX Math Inline
body--uriencoded--x = \

{

%7B x_1, \, x_2, \, x_3 , ... x_N \

}observed  variable represented by a discrete  dataset of numerical samples

%7D

numerical dataset, representing the samples of property 

LaTeX Math Inline
bodyx

LaTeX Math Inline
body--uriencoded--\hat x = \

{

%7B \hat x_1, \, \hat x_2, \, \hat x_3 , ... \hat x_N \

}predictor of variable 

%7D

model prediction of property 

LaTeX Math Inline
bodyx

, represented by another discrete  dataset of numerical samples,with the same number of samples 

LaTeX Math Inline
body

N predicted at the same conditions as the original samples 

\delta x = x - \hat x

discrepancy dataset

LaTeX Math Inline
body\

{ x_1, \, x_2, \, x_3 , ... x_N \}

LaTeX Math Inline
bodyx - \hat x

discrepancy dataset

bar \mu_3(\delta x)

3-rd order standardized central momentum of the discrepancy dataset 

LaTeX Math Inline
body\

mu_3

delta x



See also

...

Human / Science / Formal Science / Mathematics / System / Model / Model Validation / Goodness of fit

Formal science / Mathematics / Statistics Statistical correlation / Correlation coefficient