CVaR Component Negative. Average of the largest (1-α)% of scaled components of a -( vector), where 0≤α≤1

 

Syntax

cvar_comp_neg(α, matrix)

short call;

cvar_comp_neg_name(α, matrix)

call with optional name.

 
Parameters

matrix        is a PSG matrix:

 

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

       is a confidence level.

 

Mathematical Definition

CVaR Component Negative is calculated as follows:

,

where

is CVaR Component Positive function,

is an argument of CVaR Component Negative function.

 

Example

Calculation in Run-File Environment
Calculation in MATLAB Environment

 

See also

Polynomial Absolute, Relative Entropy, CVaR Component Positive, CVaR Component Absolute, VaR Component Positive, VaR Component Negative, Maximum Component Positive, Maximum Component Negative, Maximum Component Absolute, Quadratic Function, Squareroot Quadratic, Logarithms Sum