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@article{722312, author = {Koláček, Jan and Karunamuni, Rohana J.}, article_number = {1}, keywords = {kernel estimation; reflection; distribution estimation; ROC curve}, language = {eng}, issn = {1026-597X}, journal = {Austrian Journal of Statistics}, title = {On boundary correction in kernel estimation of ROC curves}, volume = {38}, year = {2009} }
TY - JOUR ID - 722312 AU - Koláček, Jan - Karunamuni, Rohana J. PY - 2009 TI - On boundary correction in kernel estimation of ROC curves JF - Austrian Journal of Statistics VL - 38 IS - 1 SP - 17-32 EP - 17-32 SN - 1026597X KW - kernel estimation KW - reflection KW - distribution estimation KW - ROC curve N2 - 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. ER -
KOLÁČEK, Jan a Rohana J. KARUNAMUNI. On boundary correction in kernel estimation of ROC curves. \textit{Austrian Journal of Statistics}. 2009, roč.~38, č.~1, s.~17-32. ISSN~1026-597X.
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