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AROC Curve and Optimal Threshold
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 Title & Authors
AROC Curve and Optimal Threshold
Hong, Chong-Sun; Lee, Hee-Jung;
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In the credit evaluation study with the assumption of mixture distributions, the ROC curve is a useful method to explore the discriminatory power of default and non-default borrowers. The AROC curve is an adjusted ROC curve that can be identified with the corresponding score and is mathematically analyzed in this work. We obtain patterns of this curve by applying normal distributions. Moreover, the relationship between the AROC curve and many classification accuracy statistics are explored to find the optimal threshold. In the case of equivalent variances of two distributions, we obtain that the local minimum of the AROC curve is estimated at the optimal threshold to maximize certain classification accuracies.
Classification accuracy;credit;default;discriminatory power;odds ratio;score;
 Cited by
홍종선, 김지훈, 최진수 (2009). 조정된 ROC와 CAP 곡선, <응용통계연구>, 22, 29-39. crossref(new window)

홍종선, 주재선, 최진수 (2010). 혼합분포에서 최적분류점, <응용통계연구>, 23, 13-28.

홍종선, 최진수 (2009). ROC와 CAP 곡선에서의 최적 분류점, <응용통계연구>, 22, 911–921. crossref(new window)

Bairagi, R. and Suchindran, C. M. (1989). An estimator of the cutoff point maximizing sum of sensitivity and specificity, The Indian Journal of Statistics, 51, 263-269.

Hanley, J. A. and McNeil, B. J. (1982). The meaning and use of the area under a receiver operating characteristic(ROC) curve, Diagnostic Radialogy, 143, 29-36.

Perkins, N. J. and Schisterman, E. F. (2006). The inconsistency of Optimal cutpoints obtained using two criteria and based on the receiver operating characteristic curve, American Journal of Epidemiology, 163, 670-675. crossref(new window)

Sobehart, J. R. and Keenan, S. C. (2001). Measuring Default Accurately, Credit Risk Special Report, Risk, 14, 31–33.

Sobehart, J. R., Keenan, S. C. and Stein, R. M. (2000). Benchmarking Quantitative Default Risk Models: A Validation Methodology, Moody's Investors Service.

Vuk. M. and Curk, T. (2006). Roc curve, lift chart and calibration plot, Metodoloski Zvezki, 3, 89-108.

Youden, W. J. (1950). An index for rating diagnostic tests, Cancer, 3, 32–35.