Estimation of the ROC curve from the Lehmann family

被引:6
|
作者
Jokiel-Rokita, Alicja [1 ]
Topolnicki, Rafal [1 ]
机构
[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland
关键词
Receiver operating characteristic (ROC) curve; Bi-Weibull ROC curve; Area under the curve (AUC); Semiparametric estimation; SEMIPARAMETRIC ESTIMATION;
D O I
10.1016/j.csda.2019.106820
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A semiparametric model of the ROC curve based on the Lehmann family of distributions is an alternative to the popular binormal model. A special case of this model is the Bi-Weibull model. New estimators of the unknown model parameter and consequently the ROC curve from the Lehmann family are presented, and their properties are proved. The accuracy of the proposed estimators is compared with the accuracy of a known estimator based on the partial likelihood method. The conclusion that some of the new estimators perform generally better than their competitor is made. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数:11
相关论文
共 50 条
  • [41] EXTENSION OF ROC CURVE
    Takenouchi, Takashi
    Eguchi, Shinto
    2009 IEEE INTERNATIONAL WORKSHOP ON MACHINE LEARNING FOR SIGNAL PROCESSING, 2009, : 434 - +
  • [42] Bayesian ROC curve estimation under binormality using a rank likelihood
    Gu, Jiezhun
    Ghosal, Subhashis
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (06) : 2076 - 2083
  • [43] What is an ROC curve?
    Hoo, Zhe Hui
    Candlish, Jane
    Teare, Dawn
    EMERGENCY MEDICINE JOURNAL, 2017, 34 (06) : 357 - 359
  • [44] What is an ROC curve?
    Rao, G
    JOURNAL OF FAMILY PRACTICE, 2003, 52 (09): : 695 - 695
  • [45] Interval Estimation of the Stress-Strength Reliability in Lehmann Family of Distributions
    Scaria, Sanju
    Jose, Sibil
    Thomas, Seemon
    JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2023, 16 (02): : 243 - 253
  • [46] A FRAMEWORK FOR COVARIATE-SPECIFIC ROC CURVE ESTIMATION, WITH APPLICATION TO BIOMETRIC RECOGNITION
    Zhu, Xiaochen
    Slawski, Martin
    Tang, Liansheng
    ANNALS OF APPLIED STATISTICS, 2023, 17 (04): : 2821 - 2842
  • [47] Semi-parametric estimation of the binormal ROC curve for a continuous diagnostic test
    Cai, TX
    Moskowitz, CS
    BIOSTATISTICS, 2004, 5 (04) : 573 - 586
  • [48] Bayesian ROC curve estimation under binormality using an ordinal category likelihood
    Wang, Xiaoguang
    Niu, Yi
    Li, Xiaofang
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (18) : 4628 - 4640
  • [49] Time-dependent ROC curve estimation for interval-censored data
    Beyene, Kassu Mehari
    El Ghouch, Anouar
    BIOMETRICAL JOURNAL, 2022, 64 (06) : 1056 - 1074
  • [50] Estimation of AUC of Bi-Generalized Half-Normal ROC Curve
    Dashina, P.
    Vardhan, R. Vishnu
    STATISTICS AND APPLICATIONS, 2023, 21 (02): : 59 - 71