Bootstrap for<i>U</i>-statistics: a new approach
Sh. Olimjon SharipovInstitute of Mathematics , National University of Uzbekistan , Tashkent , UzbekistanJohannes TewesFakultät für Mathematik, Ruhr-Universität Bochum, Bochum, GermanyMartin WendlerInstitut für Mathematik und Informatik, Ernst Moritz Arndt Universität Greifswald, Greifswald, Germany
ABI
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. We will show the consistency of the new method and compare its finite sample properties in a simulation study and by applying both methods to financial data.
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