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Bootstrap for U-Statistics: A new approach

Bootstrap for nonlinear statistics like U-statistics of dependent data has been studied by several authors. This is typically done by producing a bootstrap version of the sample and plugging it into the statistic. We suggest an alternative approach of getting a bootstrap version of U-statistics, which can be described as a compromise between bootstrap and subsampling. We will show the consistency of the new method and compare its finite sample properties in a simulation study.

preprint2015arXivOpen access
Olimjon Sh. SharipovJohannes TewesMartin Wendler
math.STStatistics Theory
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Olimjon Sh. SharipovJohannes TewesMartin Wendler

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