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
Abstract
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.
Subjects
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
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue