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Estimation of the area under ROC curve with censored data
Wang, Qihua1,2; Yao, Lili1,3; Lai, Peng1
2009-03-01
Source PublicationJOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN0378-3758
Volume139Issue:3Pages:1033-1044
AbstractThe area under the receiver operating characteristic curve is the most commonly used summary measure of diagnostic accuracy for a continuous-scale diagnostic test. In this paper, we develop methods to estimate the area under the curve (AUC) with censored data. Based on two different integration representations of this parameter, two nonparametric estimators are defined by the "plug in" method. Both the proposed estimators are shown to be asymptotically normal based on counting process and martingale theory. A simulation study is conducted to evaluate the performances of the proposed estimators. (C) 2008 Published by Elsevier B.V.
KeywordROC curve Asymptotic normality Counting process and martingale theory
DOI10.1016/j.jspi.2008.06.006
Language英语
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000262061300028
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7948
Collection应用数学研究所
Corresponding AuthorWang, Qihua
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
3.Northwestern Univ, Dept Stat, Evanston, IL 60208 USA
Recommended Citation
GB/T 7714
Wang, Qihua,Yao, Lili,Lai, Peng. Estimation of the area under ROC curve with censored data[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE,2009,139(3):1033-1044.
APA Wang, Qihua,Yao, Lili,&Lai, Peng.(2009).Estimation of the area under ROC curve with censored data.JOURNAL OF STATISTICAL PLANNING AND INFERENCE,139(3),1033-1044.
MLA Wang, Qihua,et al."Estimation of the area under ROC curve with censored data".JOURNAL OF STATISTICAL PLANNING AND INFERENCE 139.3(2009):1033-1044.
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