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Original Articles

Consistency of non parametric estimators of the area under the ROC curve

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Pages 132-141 | Received 04 Jul 2012, Accepted 17 Jul 2013, Published online: 06 Jan 2016

References

  • Bamber, D. (1975). The area above the ordinal dominance graph and the area below the receiver operating characteristic curve graph. J. Math. Psychol. 12:387–415.
  • Blume, J. (2009). Bounding sample size projections for the area under a ROC curve. J. Stat. Plann. Inference. 139:711–721.
  • Bradley, A. (1997). The use of the area under the ROC curve in the evaluation of machine learning algorithms. Pattern Recognit. 30:1145–1159.
  • Fawcett, T. (2006). An introduction to ROC analysis. Pattern Recognit. Lett. 27:861–874.
  • Green, D., Swets, J. (1966). Signal Detection Theory and Psychophisics. New York: Wiley & Sons.
  • Hanley, J., McNeil, B. (1982). The meaning and use of the area under an ROC curve. Radiology. 143:29–36.
  • Hanley, J., McNeil, B. (1984). Statistical approaches to the analysis of receiver operating characteristic (ROC) curves. Med. Decis. Making. 4(2):137–150.
  • Kaplan, E., Meier, R. (1958). Nonparametric estimation from incomplete observations. J. Stat. Assoc. 53:457–481.
  • Krzanowski, W.J., Hand, D.J. (2009). ROC Curves for Continuous Data, Volume 111 of Monographs on Statistics and Applied Probability. Boca Raton, FL: CRC Press.
  • Lehmann, E. (1998). Nonparametrics: Statistical Methods Based on Ranks. Englkewood Cliffs, NJ: Prentice-Hall.
  • Li, Y., Koval, J., Donner, A., Zou, G. (2010). Interval estimation for the area under the receiver operating characteristic curve when data are subject to error. Stat. Med. doi.
  • Lo, S.-H. (1987). Estimation of distribution functions under order restrictions. Stat. Decis. 5(3-4):251–262.
  • Qin, G., Zhou, X.-H. (2006). Empirical likelihood inference for the area under the ROC curve. Biometrics. 62(2):613–622.
  • Rojo, J. (2004). On the estimation of survival functions under a stochastic order constraint. In: The First Erich L. Lehmann Symposium–Optimality, volume 44 of IMS Lecture Notes Monogr. Ser. (37–61). Beachwood, OH: Inst. Math. Statist.
  • Wang, Q., Yao, L., Lai, P. (2009). Estimation of the area under ROC curve with censored data. J. Stat. Plann. Inference. 139:1033–1044.
  • Wolfe, D., Hogg, R. (1971). On constructing statistics and reporting data. Am. Stat. 25:27–30.
  • Zieliński, R. (2007). Kernel estimators and the Dvoretzky-Kiefer-Wolfowitz inequality. Appl. Math. (Warsaw). 34(4):401–404.

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