publication . Other literature type . Article . 1981

Some Asymptotic Theory for the Bootstrap

Bickel, Peter J.; Freedman, David A.;
Open Access English
  • Published: 01 Nov 1981
  • Publisher: The Institute of Mathematical Statistics
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.
arXiv: Statistics::TheoryStatistics::Methodology
free text keywords: Bootstrap, resampling, asymptotic theory, 62E20, 62G05, 62G15, Statistics, Probability and Uncertainty, Statistics and Probability, Statistics, Bootstrapping (electronics), Econometrics, Jackknife resampling, Mathematics
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