Translator Disclaimer
September, 1992 A Rank Statistics Approach to the Consistency of a General Bootstrap
David M. Mason, Michael A. Newton
Ann. Statist. 20(3): 1611-1624 (September, 1992). DOI: 10.1214/aos/1176348787

Abstract

A general notion of a bootstrapped mean constructed by exchangeably weighting sample points is introduced. Consistency of this generalized bootstrapped mean, which includes proposals of Efron and Rubin among others, is proved by classical linear rank statistics theory. The consistency of generalized bootstrapped empirical and quantile processes is also established.

Citation

Download Citation

David M. Mason. Michael A. Newton. "A Rank Statistics Approach to the Consistency of a General Bootstrap." Ann. Statist. 20 (3) 1611 - 1624, September, 1992. https://doi.org/10.1214/aos/1176348787

Information

Published: September, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0777.62045
MathSciNet: MR1186268
Digital Object Identifier: 10.1214/aos/1176348787

Subjects:
Primary: 62G99
Secondary: 62G30

Rights: Copyright © 1992 Institute of Mathematical Statistics

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.20 • No. 3 • September, 1992
Back to Top