Root Mean Squared Error Normal Independent (st_ni_err)

Root Mean Squared Error Normal Independent. Root Squared Error of  Linear Loss with independent normally distributed random coefficients. It is calculated with Matrix of Means (one row matrix) and Matrix of Variances (one row matrix).

 

Syntax

st_ni_err(matrix_mn,matrix_vr)

short call;

st_ni_err_name(matrix_mn,matrix_vr)

call with optional name.

 
Parameters

matrix_mn        is a PSG matrix of mean values:

 

where the header row contains names of variables. The second row contains numerical data.

 

matrix_vr        is a PSG matrix of variance values:

 

where the header row contains names of variables. The second row contains numerical data.

 

Output

When function Root Mean Squared Error Normal Independent is used in optimization or calculation problems PSG automatically calculates and includes in the solution report output:

 

contributions(function_name)

normalized increments.

 

Mathematical Definition

Root Mean Squared Error Normal Independent function is calculated as follows:

,

where

,

.

is an argument of function.

 

Example

Calculation in Run-File Environment
Calculation in MATLAB Environment

 

See also

Mean Absolute Error, Mean Absolute Error Normal Independent, Mean Absolute Error Normal Dependent, Mean Square Error, Mean Square Error Normal Independent , Mean Square Error Normal Dependent, Root Mean Squared Error,Root Mean Squared Error Normal Dependent, Koenker and Basset Error, Rockafellar Error