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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2009/873274 |
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| Summary: | 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). |
|---|---|
| ISSN: | 1687-952X 1687-9538 |