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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| _version_ | 1850172351456477184 |
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| author | Tien-Chung Hu Neville C. Weber |
| author_facet | Tien-Chung Hu Neville C. Weber |
| author_sort | Tien-Chung Hu |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-cfcf8974303c4eb79a8ad3175e806bd6 |
| institution | OA Journals |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-cfcf8974303c4eb79a8ad3175e806bd62025-08-20T02:20:06ZengWileyJournal of Probability and Statistics1687-952X1687-95382009-01-01200910.1155/2009/873274873274A Note on Strong Convergence of Sums of Dependent Random VariablesTien-Chung Hu0Neville C. Weber1Department of Mathematic, National Tsing Hua University, Hsinchu 30043, TaiwanSchool of Mathematics and Statistics F07, University of Sydney, Sydney, NSW 2006, AustraliaFor 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).http://dx.doi.org/10.1155/2009/873274 |
| spellingShingle | Tien-Chung Hu Neville C. Weber A Note on Strong Convergence of Sums of Dependent Random Variables Journal of Probability and Statistics |
| title | A Note on Strong Convergence of Sums of Dependent Random Variables |
| title_full | A Note on Strong Convergence of Sums of Dependent Random Variables |
| title_fullStr | A Note on Strong Convergence of Sums of Dependent Random Variables |
| title_full_unstemmed | A Note on Strong Convergence of Sums of Dependent Random Variables |
| title_short | A Note on Strong Convergence of Sums of Dependent Random Variables |
| title_sort | note on strong convergence of sums of dependent random variables |
| url | http://dx.doi.org/10.1155/2009/873274 |
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