Publication details

On boundary correction in kernel estimation of ROC curves



Year of publication 2007
Type Conference abstract
MU Faculty or unit

Faculty of Science

Description The Receiver Operating Characteristic (ROC) curve is a statistical tool for evaluating the accuracy of diagnostics tests. The empirical ROC curve is the most commonly used non-parametric estimator for the ROC curve. To derive a smooth estimate for the ROC curve, we use a kernel smoothing method which has better statistical properties than empirical. By this process we need to estimate a distribution function. It is well known now that kernel distribution estimators are not consistent when estimating a distribution function near the boundary of its support. This problem is known as ``boundary effects". To avoid these difficulties we use the technique, which is a kind of generalized reflection method involving reflecting a transformation of the data. The proposed method generates a class of boundary corrected estimators.
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