# unit normal loss function

The function, $UNL$, is defined by

 $UNL(c)=\int_{c}^{\infty}(t-c)f(t)dt$

where $c$ is a constant and $f(.)$ is the normal probability distribution function.
An alternative computational formula for $UNL$ is the following:

 $UNL(z)=f(z)-z(1-F(z))$

where $f(.)$ and $F(.)$ are the probability distribution function and cumulative distribution function for Standard Normal Distribution respectively.
Remark. This function has an extensive use in Risk Analysis and the Theory of Blackjack.

Title unit normal loss function UnitNormalLossFunction 2013-03-22 15:56:42 2013-03-22 15:56:42 georgiosl (7242) georgiosl (7242) 6 georgiosl (7242) Definition msc 62E15