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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 and Rohana J. KARUNAMUNI. On boundary correction in kernel estimation of ROC curves. \textit{Austrian Journal of Statistics}. 2009, vol.~38, No~1, p.~17-32. ISSN~1026-597X.
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