Translator Disclaimer
October 1996 Second-order correctness of the blockwise bootstrap for stationary observations
F. Götze, H. R. Künsch
Ann. Statist. 24(5): 1914-1933 (October 1996). DOI: 10.1214/aos/1069362303

Abstract

We show that the blockwise bootstrap approximation for the distribution of a studentized statistic computed from dependent data is second-order correct provided we choose an appropriate variance estimator. We also show how to adapt the $BC_a$ confidence interval of Efron to the a dependent case. For the proofs we extend the results of Götze and Hipp on the validity of the formal Edgeworth expansion for a sum to the studentized mean.

Citation

Download Citation

F. Götze. H. R. Künsch. "Second-order correctness of the blockwise bootstrap for stationary observations." Ann. Statist. 24 (5) 1914 - 1933, October 1996. https://doi.org/10.1214/aos/1069362303

Information

Published: October 1996
First available in Project Euclid: 20 November 2003

zbMATH: 0906.62040
MathSciNet: MR1421154
Digital Object Identifier: 10.1214/aos/1069362303

Subjects:
Primary: 62M10
Secondary: 62E20, 62G15

Rights: Copyright © 1996 Institute of Mathematical Statistics

JOURNAL ARTICLE
20 PAGES


SHARE
Vol.24 • No. 5 • October 1996
Back to Top