Difference between revisions of "Divergence Statistic"

From Open Risk Manual
 
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
 
== Definition ==
 
== Definition ==
The '''Divergence Statistic''' is a measure of the distance between two distributions. It is typically used in assessing the ability of a [[Credit Scorecarc]] to distinguish between the ''good'' and ''bad'' populations
+
The '''Divergence Statistic''' is a measure of the distance between two distributions. It is typically used in assessing the ability of a [[Credit Scorecard]] to distinguish between the ''good'' and ''bad'' populations
  
 
== Formula ==
 
== Formula ==
 
:<math>
 
:<math>
D^2 = \frac{\pi_G - \pt_B)^2}{(\sigma^2_G + \sigma^2_B)/2}
+
D^2 = \frac{(\pi_G - \pi_B)^2}{(\sigma^2_G + \sigma^2_B)/2}
 
</math>
 
</math>
  

Latest revision as of 17:29, 17 February 2022

Definition

The Divergence Statistic is a measure of the distance between two distributions. It is typically used in assessing the ability of a Credit Scorecard to distinguish between the good and bad populations

Formula


D^2 = \frac{(\pi_G - \pi_B)^2}{(\sigma^2_G + \sigma^2_B)/2}

See Also