A note on strong convergence of sums of dependent random variables (Q609689)
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scientific article; zbMATH DE number 5822145
| Language | Label | Description | Also known as |
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| English | A note on strong convergence of sums of dependent random variables |
scientific article; zbMATH DE number 5822145 |
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A note on strong convergence of sums of dependent random variables (English)
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1 December 2010
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Summary: For a sequence of dependent square-integrable random variables and a sequence of positive constants \(\{b_{n}, n\geq 1\}\), conditions are provided under which the series \(\sum_{i=1}^{n}(X_{i} - EX_{i})/b_{i}\) converges almost surely as \(n\rightarrow \infty \). These conditions are weaker than those provided by \textit{T.-C. Hu, A. Rosalsky} and \textit{A. Volodin} [Stat. Probab. Lett. 78, No.~14, 1999--2005 (2008; Zbl 1283.60049)] .
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