Consistency of the Generalized Bootstrap for Degenerate $U$-Statistics
Huskova, Marie ; Janssen, Paul
Ann. Statist., Tome 21 (1993) no. 1, p. 1811-1823 / Harvested from Project Euclid
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A generalized bootstrap version is defined for degenerate $U$-statistics. Our main result shows that the (conditional) distribution function of the bootstrapped degenerate $U$-statistic provides a consistent estimator for the unknown distribution function of the degenerate $U$-statistic under consideration. For the proof we rely on a rank statistic approach.
Publié le : 1993-12-14
Classification:  Bootstrap consistency,  degenerate $U$-statistics,  weighted bootstrapping,  62E20,  60F05 
@article{1176349399,
     author = {Huskova, Marie and Janssen, Paul},
     title = {Consistency of the Generalized Bootstrap for Degenerate $U$-Statistics},
     journal = {Ann. Statist.},
     volume = {21},
     number = {1},
     year = {1993},
     pages = { 1811-1823},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176349399}
}

Huskova, Marie; Janssen, Paul. Consistency of the Generalized Bootstrap for Degenerate $U$-Statistics. Ann. Statist., Tome 21 (1993) no. 1, pp.  1811-1823. http://gdmltest.u-ga.fr/item/1176349399/