On the rate of convergence of bootstrapped means in a Banach space
S. Ejaz Ahmed,1T.-C. Hu,2and Andrei I. Volodin1
Received05 Jan 2000
Revised05 May 2000
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.