## The Annals of Statistics

### Necessary Conditions for the Bootstrap of the Mean

#### Abstract

It is proved that $EX^2 < \infty$ is necessary for a very mild form of the bootstrap of the mean to work a.s. and that $X$ must be in the domain of attraction of the normal law if a.s. is weakened to "in probability."

#### Article information

Source
Ann. Statist. Volume 17, Number 2 (1989), 684-691.

Dates
First available in Project Euclid: 12 April 2007

http://projecteuclid.org/euclid.aos/1176347134

Digital Object Identifier
doi:10.1214/aos/1176347134

Mathematical Reviews number (MathSciNet)
MR994259

Zentralblatt MATH identifier
0672.62026

JSTOR