Mean Absolute Normal Dependent Error (meanabs_nd_err)

Mean Absolute Normal Dependent Error. Mean Absolute of  Linear Loss function with mutually dependent normally distributed random coefficients.

 

Syntax

meanabs_nd_err(matrix_mn,matrix_cov)

short call

meanabs_nd_err_name(matrix_mn,matrix_cov)

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_cov        is a PSG matrix of covariance values:

 

where the header row contains names of variables. Other rows contain numerical data.

 

Output

When function Mean Absolute Normal Dependent Error is used in optimization or calculation problems PSG automatically calculates and includes in the solution report two outputs:

 

pseudo_R2_function_name

coefficient of determination;

contributions(function_name)

normalized increments.

 

Mathematical Definition

Mean Absolute Normal Dependent Error function is calculated as follows:

,

where

,

,

is the standard normal distribution,

 is probability density function of the standard normal distribution.

is an argument of Mean Absolute Normal Dependent Error function.

 

Example

Calculation in Run-File Environment
Calculation in MATLAB Environment

 

See also

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