On the rate of convergence of bootstrapped means in a Banach space-Reference-Cited by-同舟云学术

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On the rate of convergence of bootstrapped means in a Banach space

Published:2001 Issue:10 Volume:25 Page:629-635
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Ahmed S. Ejaz¹,Hu T.-C.²,Volodin Andrei I.¹

Affiliation:

1. Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan S4S 0A2, Canada

2. Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan

Abstract

We establish the complete convergence for arrays of Banach space valued random elements. This result is applied to bootstrapped means of random elements to obtain their strong consistency and is derived in the spirit of Baum-Katz/Hsu-Robbins/Spitzer type convergence.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2001/857403.pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A central limit theorem for bootstrap sample sums from non-i.i.d. models;Journal of Statistical Planning and Inference;2017-01

2. General Weak Laws of Large Numbers for Bootstrap Sample Means;Stochastic Analysis and Applications;2005-07

3. General Weak Laws of Large Numbers for Bootstrap Sample Means;SSRN Electronic Journal;2004

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