Chung type strong laws for arrays of random elements and bootstrapping
作者:
Abolghassem Bozorgnia,
Ronald. F. Patterson,
Robert L. Taylor,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1997)
卷期:
Volume 15,
issue 5
页码: 651-669
ISSN:0736-2994
年代: 1997
DOI:10.1080/07362999708809501
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Let {Xnk} be be an array of rowwise independent random elements in a separable Banach space. Chung type strong laws of large numbers are obtained under various moment conditions on the random elements and geometric type p, 1≤p≤2, conditions on the Banach space. Comparisons with existing results for arrays of random elements are provided to illustrate the strength of these results. The results can be directly applied to show the asymptotic validity of the bootstrap mean and variance for random functions
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