JSM 2011 Online Program

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Abstract Details

Activity Number: 359
Type: Contributed
Date/Time: Tuesday, August 2, 2011 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #301795
Title: An Empirical Maximum Likelihood ROC Model with Monotonic Likelihood Ratio
Author(s): Lucas Simplice Tcheuko*+
Companies: University of Maryland
Address: 3554 childress terrace , Burtonsville, MD, 20866,
Keywords: empirical likelihood ; convex ; PAVA ; constrained estimates
Abstract:

Although an ideal ROC curves is expected to be convex, published fits often displays ``hooks".This article presents a method of computing an empirical likelihood estimator of the ROC assuming convexity.For a given set of binary data, we first derive its empirical ROC without convexity assumption, and then derive the analytical convex maximum likelihood estimator of the ROC. We use use PAVA -Pool Adjacent Violator Algorithm- to compute the real values of the convex ROC estimator and then overlay the convex plot on the empirical plot.


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