## The Annals of Statistics

### Some Asymptotic Theory for the Bootstrap

#### 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.

#### Article information

Source
Ann. Statist., Volume 9, Number 6 (1981), 1196-1217.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176345637

Digital Object Identifier
doi:10.1214/aos/1176345637

Mathematical Reviews number (MathSciNet)
MR630103

Zentralblatt MATH identifier
0449.62034

JSTOR