The Asymptotic Accuracy of the Bootstrap of $U$-Quantiles
Arcones, Miguel A.
Ann. Statist., Tome 23 (1995) no. 6, p. 1802-1822 / Harvested from Project Euclid
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The order of the Kolmogorov-Smirnov distance for the bootstrap of $U$-quantiles is considered. We observe that the order of the bootstrap of $U$-quantiles depends on the order of the local variance of the first term of the Hoeffding decomposition at the $U$-quantile. This order can be smaller than the order of the bootstrap of quantiles: $U$-quantiles can be smoother than quantiles.
Publié le : 1995-10-14
Classification:  $U$-statistic,  quantile,  bootstrap,  Edgeworth expansion,  empirical process,  62E25,  60F05,  62E20 
@article{1176324324,
     author = {Arcones, Miguel A.},
     title = {The Asymptotic Accuracy of the Bootstrap of $U$-Quantiles},
     journal = {Ann. Statist.},
     volume = {23},
     number = {6},
     year = {1995},
     pages = { 1802-1822},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176324324}
}

Arcones, Miguel A. The Asymptotic Accuracy of the Bootstrap of $U$-Quantiles. Ann. Statist., Tome 23 (1995) no. 6, pp.  1802-1822. http://gdmltest.u-ga.fr/item/1176324324/