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Journal of MathematicsVolume 2013 2013, Article ID 848271, 10 pages

Research ArticleThink Finance, 4150 International Plaza, Fort Worth, TX 76109, USA

Received 13 August 2013; Accepted 4 September 2013

Academic Editor: Baoding Liu

Copyright © 2013 Guoping Zeng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Recently, a series of divergence measures have emerged from information theory and statistics and numerous inequalities have been established among them. However, none of them are a metric in topology. In this paper, we propose a class of metric divergence measures, namely, , and study their mathematical properties. We then study an important divergence measure widely used in credit scoring, called information value. In particular, we explore the mathematical reasoning of weight of evidence and suggest a better alternative to weight of evidence. Finally, we propose using as alternatives to information value to overcome its disadvantages.

Author: Guoping Zeng



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