On weak convergence of quantile-based empirical likelihood process for ROC curves
The empirical likelihood (EL) method possesses desirable qualities such as automatically determining confidence regions and circumventing the need for variance estimation. As an extension, a quantile-based EL (QEL) method is considered, which results in a simpler form. In this paper, we explore the...
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| Published in | Statistics and computing Vol. 34; no. 5 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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01.10.2024
Springer Nature B.V |
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| Abstract | The empirical likelihood (EL) method possesses desirable qualities such as automatically determining confidence regions and circumventing the need for variance estimation. As an extension, a quantile-based EL (QEL) method is considered, which results in a simpler form. In this paper, we explore the framework of the QEL method. Firstly, we explore the weak convergence of the −2 log empirical likelihood ratio for ROC curves. We also introduce a novel statistic for testing the entire ROC curve and the equality of two distributions. To validate our approach, we conduct simulation studies and analyze real data from hepatitis C patients, comparing our method with existing ones. |
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| AbstractList | The empirical likelihood (EL) method possesses desirable qualities such as automatically determining confidence regions and circumventing the need for variance estimation. As an extension, a quantile-based EL (QEL) method is considered, which results in a simpler form. In this paper, we explore the framework of the QEL method. Firstly, we explore the weak convergence of the −2 log empirical likelihood ratio for ROC curves. We also introduce a novel statistic for testing the entire ROC curve and the equality of two distributions. To validate our approach, we conduct simulation studies and analyze real data from hepatitis C patients, comparing our method with existing ones. |
| ArticleNumber | 148 |
| Author | Jiang, Hu Wang, Zhou Yiming, Liu |
| Author_xml | – sequence: 1 givenname: Hu surname: Jiang fullname: Jiang, Hu organization: School of Mathematics and Statistics, Northeast Normal University – sequence: 2 givenname: Liu surname: Yiming fullname: Yiming, Liu email: liuyiming@jnu.edu.cn organization: School of Economics, Jinan University – sequence: 3 givenname: Zhou surname: Wang fullname: Wang, Zhou organization: Department of Statistics, National University of Singapore |
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| Keywords | Weak convergence Quantile-based EL ROC curves |
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| References | Billingsley (CR2) 1995 Li, Tiwari, Wells (CR13) 1999; 86 Adimari (CR1) 1998; 60 CR15 Burkholder (CR4) 1973; 1 Horváth, Horváth, Zhou (CR11) 2008; 138 CR14 Zhou, Jing (CR22) 2003; 55 Hsieh, Turnbull (CR12) 1996; 24 CR10 Einmahl, McKeague (CR7) 2003; 9 Goddard, Hinberg (CR8) 1990; 9 Molanes Lopez, Keilegom, Veraverbeke (CR17) 2009; 36 Ma, Hall (CR16) 1993; 13 Qin, Zhang (CR20) 2003; 90 Owen (CR19) 2001 Gong, Peng, Qi (CR9) 2010; 101 Yu (CR21) 1993; 95 Copas, Corbett (CR6) 2002; 89 Newey (CR18) 1991; 59 Claeskens, Jing, Peng, Zhou (CR5) 2003; 31 Billingsley (CR3) 2013 G Adimari (10457_CR1) 1998; 60 J Qin (10457_CR20) 2003; 90 F Hsieh (10457_CR12) 1996; 24 L Horváth (10457_CR11) 2008; 138 10457_CR15 G Li (10457_CR13) 1999; 86 10457_CR14 DL Burkholder (10457_CR4) 1973; 1 JH Einmahl (10457_CR7) 2003; 9 AB Owen (10457_CR19) 2001 J Copas (10457_CR6) 2002; 89 10457_CR10 P Billingsley (10457_CR2) 1995 W Zhou (10457_CR22) 2003; 55 Y Gong (10457_CR9) 2010; 101 EM Molanes Lopez (10457_CR17) 2009; 36 G Ma (10457_CR16) 1993; 13 G Claeskens (10457_CR5) 2003; 31 M Goddard (10457_CR8) 1990; 9 H Yu (10457_CR21) 1993; 95 WK Newey (10457_CR18) 1991; 59 P Billingsley (10457_CR3) 2013 |
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| Title | On weak convergence of quantile-based empirical likelihood process for ROC curves |
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