Smoothed jackknife empirical likelihood method for ROC curve

  • Authors:
  • Yun Gong;Liang Peng;Yongcheng Qi

  • Affiliations:
  • School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA;School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA;Department of Mathematics and Statistics, University of Minnesota-Duluth, 1117 University Drive, Duluth, MN 55812, USA

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2010

Quantified Score

Hi-index 0.01

Visualization

Abstract

In this paper we propose a smoothed jackknife empirical likelihood method to construct confidence intervals for the receiver operating characteristic (ROC) curve. By applying the standard empirical likelihood method for a mean to the jackknife sample, the empirical likelihood ratio statistic can be calculated by simply solving a single equation. Therefore, this procedure is easy to implement. Wilks' theorem for the empirical likelihood ratio statistic is proved and a simulation study is conducted to compare the performance of the proposed method with other methods.