A novel estimator for the two-way partial AUC.

"our comparisons (figs7 b and 8 b) show that while the alternative estimator can be slightly faster than the proposed one the small differences are unimportant in practice (note that the alternative estimator also has a \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$o(n \log n)$$\end{document} o ( n log n ) computational complexity) the r code used to implement the proposed estimator and reproduce all the experiments presented in this paper is available in the github repository https://github com/echaibub/proc_based_tpauc .; additionally the github repository https://github com/sage-bionetworks/tp_auc provides scripts to run the r code in the python environment (using the rpy2 python library 1 ) and makes the proposed estimator available to the python users community as well.; the code for reproducing all the results in this paper is available in https://github com/echaibub/proc_based_tpauc .; scripts for running the r code in the python environment are provided in https://github com/sage-bionetworks/tp_auc ."

"Declarations Ethics approval and consent to participateNot applicable. Consent for publicationNot applicable. Competing interestsThe authors declare no competing interests. Competing interests The authors declare no competing interests."

"Funding This work was supported in part from a grant from the Bill & Melinda Gates Foundation. The funding body has not played any roles in the design of the study, in the collection, analysis, and interpretation of data, and in writing the manuscript."