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Relative density estimation and local bandwidth selection for censored data. (English) Zbl 1030.62027
This paper is concerned with local bandwidth selection for a kernel-type estimator of the relative density (or grade density) when the samples come from two populations under a right random censorship mechanism. A two-stage smoothed plug-in local bandwidth selector with a beta reference is proposed. This estimation procedure is used to analyze the lifetime density in a two-sample problem related to breast cancer. A simulation study is carried out to examine the practical performance of the bandwidth selector.

MSC:
62G07 Density estimation
62P10 Applications of statistics to biology and medical sciences; meta analysis
Software:
KernSmooth; reldist
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