Some Asymptotic Theory for the Bootstrap
Bickel, Peter J. ; Freedman, David A.
Ann. Statist., Tome 9 (1981) no. 1, p. 1196-1217 / Harvested from Project Euclid
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Efron's "bootstrap" method of distribution approximation is shown to be asymptotically valid in a large number of situations, including $t$-statistics, the empirical and quantile processes, and von Mises functionals. Some counter-examples are also given, to show that the approximation does not always succeed.
Publié le : 1981-11-14
Classification:  Bootstrap,  resampling,  asymptotic theory,  62E20,  62G05,  62G15 
@article{1176345637,
     author = {Bickel, Peter J. and Freedman, David A.},
     title = {Some Asymptotic Theory for the Bootstrap},
     journal = {Ann. Statist.},
     volume = {9},
     number = {1},
     year = {1981},
     pages = { 1196-1217},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176345637}
}

Bickel, Peter J.; Freedman, David A. Some Asymptotic Theory for the Bootstrap. Ann. Statist., Tome 9 (1981) no. 1, pp.  1196-1217. http://gdmltest.u-ga.fr/item/1176345637/