A Note on Strong Convergence of Sums of Dependent Random Variables

For a sequence of dependent square-integrable random variables and a sequence of positive constants {bn,  n≥1}, conditions are provided under which the series ∑i=1n(Xi−EXi)/bi converges almost surely as n→∞. These conditions are weaker than those provided by Hu et al. (2008).

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Bibliographic Details
Main Authors: Tien-Chung Hu, Neville C. Weber
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2009/873274
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