Open AccessA Note on Strong Convergence of Sums of Dependent Random Variables
Author(s) -
Tien-Chung Hu,
N. C. Weber
Publication year - 2009
Publication title -
journal of probability and statistics
Language(s) - English
Resource type - Journals
eISSN - 1687-9538
pISSN - 1687-952X
DOI - 10.1155/2009/873274
Subject(s) - algorithm , computer science
For a sequence of dependent square-integrable random variables anda sequence of positive constants {bn, n≥1}, conditions are provided under which the series ∑i=1n(Xi−EXi)/bi converges almost surely asn→∞. These conditions are weaker than those provided by Hu et al. (2008)
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