Mean Absolute Risk Normal Independent (meanabs_risk_ni)

Mean Absolute Risk Normal Independent. Mean Absolute when all coefficients in Linear Loss function are independent normally distributed random values. (Mean Absolute Normal Independent) =Average Loss  + Mean Absolute Deviation.

 

Syntax

meanabs_risk_ni(matrix_mn,matrix_vr)

short call

meanabs_risk_ni_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.

 

Mathematical Definition

Mean Absolute Risk Normal Independent function is calculated as follows:

,

where

is Mean Absolute Deviation Normal Independent function,

,

,

 is probability density function of the standard normal distribution.

is an argument of Mean Absolute Risk Normal Independent 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 Absolute Risk, Mean Absolute Risk for Gain, Mean Absolute Risk for Gain Normal Independent, Mean Absolute Risk Normal Dependent, Mean Absolute Risk for Gain Normal Dependent, Mean Absolute Deviation, Mean Absolute Deviation Normal Independent, Mean Absolute Deviation Normal Dependent