On complete convergence for arrays of rowwise independent random elements in banach spaces
作者:
Tien-Chung Hu,
Andrew Rosalsky,
Dominik Szynal,
Andrej I. Volodin,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1999)
卷期:
Volume 17,
issue 6
页码: 963-992
ISSN:0736-2994
年代: 1999
DOI:10.1080/07362999908809645
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We extend and generalize some recent results on complete convergence (cf. Hu, Moricz, and Taylor [14], Gut [11], Wang, Bhaskara Rao, and Yang [26], Kuczmaszewska and Szynal [17], and Sung [23]) for arrays of rowwise independent Banach space valued random elements. In the main result, no assumptions are made concerning the existence of expected values or absolute moments of the random elements and no assumptions are made concerning the geometry of the underlying Banach space. Some well-known results from the literature are obtained easily as corollaries. The corresponding convergence rates are also established
点击下载:
PDF (753KB)
返 回