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June, 1989 Necessary Conditions for the Bootstrap of the Mean
Evarist Gine, Joel Zinn
Ann. Statist. 17(2): 684-691 (June, 1989). DOI: 10.1214/aos/1176347134

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."

Citation

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Evarist Gine. Joel Zinn. "Necessary Conditions for the Bootstrap of the Mean." Ann. Statist. 17 (2) 684 - 691, June, 1989. https://doi.org/10.1214/aos/1176347134

Information

Published: June, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0672.62026
MathSciNet: MR994259
Digital Object Identifier: 10.1214/aos/1176347134

Subjects:
Primary: 62E20
Secondary: 60F05, 62F12

Rights: Copyright © 1989 Institute of Mathematical Statistics

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Vol.17 • No. 2 • June, 1989
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