Bootstrap for U-Statistics: A new approach

2015/05/27 by Sharipov, Olimjon Sh., Tewes, Johannes, Wendler, Martin
#FOS: Mathematics #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.1505.07260

Abstract

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.

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