Standard Gain Normal Independent (st_risk_ni_g)

Standard Gain Normal Independent. (Standard Deviation of Linear Loss)-(Average of Linear Loss).  It is calculated with Matrix of Means (one raw matrix) and Matrix of Variances (one row matrix).

 

Syntax

st_risk_ni_g(matrix_m,matrix_v)

short call;

st_risk_ni_g_name(matrix_m,matrix_v)

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.

 

Mathematical Definition

Standard Gain Normal Independent function is calculated as follows:

where

       is mean of the loss function;

       is variance of the loss function.

is Loss Function (See section Loss and Gain Functions);

is an argument of function.

 

Example

Calculation in Run-File Environment
Calculation in MATLAB Environment

 

See also

Root Mean Squared Error, Root Mean Squared Error Normal Independent, Root Mean Squared Error Normal Dependent, Standard Risk, Standard Gain, Standard Risk Normal Independent, Standard Risk Normal Dependent, Standard Gain Normal Dependent, Standard Deviation, Mean Square Error, Mean Square Error Normal Independent, Mean Square Error Normal Dependent, Variance