Mean Abs Group of functions defined on Loss and Gain includes the following functions:

 

Full Name

Brief Name

Short Description

Mean Absolute Error

meanabs_pen

Mean Absolute for Linear Loss scenarios function. Calculated by averaging over scenarios the absolute values of losses .

Mean Absolute Error Normal Independent

meanabs_pen_ni

Mean Absolute of  Linear Loss function with independent normally distributed random coefficients.

Mean Absolute Error Normal Dependent

meanabs_pen_nd

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

Mean Absolute Risk

meanabs_risk

Mean Absolute for Linear Loss scenarios. (Mean Absolute) =Average Loss  + Mean Absolute Deviation.

Mean Absolute Risk for Gain

meanabs_risk_g

Mean Absolute  for Gain for Linear Loss scenarios. (Mean Absolute  for Gain) = -Average Loss + Mean Absolute Deviation.

Mean Absolute Risk Normal Independent

meanabs_risk_ni

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

Mean Absolute Risk for Gain Normal Independent

meanabs_risk_ni_g

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

Mean Absolute Risk Normal Dependent

meanabs_risk_nd

Mean Absolute when all coefficients in Linear Loss function are mutually dependent normally distributed random values.. (Mean Absolute Normal Dependent) =Average Loss  + Mean Absolute Deviation.

Mean Absolute Risk for Gain Normal Dependent

meanabs_risk_nd_g

Mean Absolute for Gain when all coefficients in Linear Loss function are mutually dependent normally distributed random values. (Mean Absolute for Gain Normal Dependent) = - Average Loss  + Mean Absolute Deviation.

Mean Absolute Deviation

meanabs_dev

Mean Absolute Deviation for Linear Loss scenarios.

Mean Absolute Deviation Normal Independent

meanabs_ni_dev

Mean Absolute Deviation for Linear Loss function with independent normally distributed random coefficients.

Mean Absolute Deviation Normal Dependent

meanabs_nd_dev

Mean Absolute Deviation for Linear Loss function with mutually dependent normally distributed random coefficients.

Mean Absolute Error for Recourse

meanabs_pen(recourse(.))

Mean Absolute for  Recourse  scenarios function. Calculated by averaging over scenarios the absolute values of Recourse function. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario.

Mean Absolute Risk Recourse

meanabs_risk(recourse(.))

Mean Absolute for Recourse scenarios. (Mean Absolute Recourse) = Average Recourse  + Mean Absolute Deviation of Recourse scenarios. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario.

Mean Absolute Risk for Gain Recourse

meanabs_risk_g(recourse(.))

Mean Absolute for Gain for Recourse scenarios. (Mean Absolute for Gain Recourse) = -(Average Recourse)  + (Mean Absolute Deviation of Recourse scenarios). Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario.

Mean Absolute Deviation Recourse

meanabs_dev(recourse(.))

Mean Absolute Deviation for  Recourse scenarios. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario.

 

Remarks

1.Functions from the Mean Abs group are calculated with double precision.
2.Any function from this group may be called by its "brief name" or by "brief name" with "optional name"
The optional name of any function from this group may contain up to 128 symbols.
Optional names of these functions may include only alphabetic characters, numbers, and the underscore sign, "_".
Optional names of these functions are "insensitive" to the case, i.e. there is no difference between low case and upper case in these names.