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The shape of an ROC curve in the evaluation of credit scoring models

Abstract

The AUC, i.e. the area under the receiver operating characteristic (ROC) curve, or its scaled version, the Gini coefficient, are the standard measures of the discriminatory power of credit scoring. Using binormal ROC curve models, we show how the shape of the curves affects the economic benefits of using scoring models with the same AUC. Based on the results, we propose that the shape parameter of the fitted ROC curve is reported alongside its AUC/Gini whenever the quality of a scorecard is discussed.

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DOI:
Digital Object Identifier (open in new tab) 10.59170/stattrans-2024-022
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Creative Commons: CC-BY-SA open in new tab

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
STATISTICS IN TRANSITION no. 25, pages 205 - 218,
ISSN: 1234-7655
Language:
English
Publication year:
2024
Bibliographic description:
Kochański B.: The shape of an ROC curve in the evaluation of credit scoring models// STATISTICS IN TRANSITION -Vol. 25,iss. 2 (2024), s.205-218
DOI:
Digital Object Identifier (open in new tab) 10.59170/stattrans-2024-022
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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