On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables
A rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences of φ-mixing and ρ*-mixing...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/630583 |
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| _version_ | 1849692807507214336 |
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| author | Soo Hak Sung |
| author_facet | Soo Hak Sung |
| author_sort | Soo Hak Sung |
| collection | DOAJ |
| description | A rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences of φ-mixing and ρ*-mixing random variables are also obtained. Our results improve and generalize the results of Baek et al. (2008), Kuczmaszewska (2009), and Wang et al. (2010). |
| format | Article |
| id | doaj-art-92316d258dd04cd78fecdaccacdd4282 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-92316d258dd04cd78fecdaccacdd42822025-08-20T03:20:36ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/630583630583On Complete Convergence for Weighted Sums of Arrays of Dependent Random VariablesSoo Hak Sung0Department of Applied Mathematics, Pai Chai University, Taejon 302-735, Republic of KoreaA rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences of φ-mixing and ρ*-mixing random variables are also obtained. Our results improve and generalize the results of Baek et al. (2008), Kuczmaszewska (2009), and Wang et al. (2010).http://dx.doi.org/10.1155/2011/630583 |
| spellingShingle | Soo Hak Sung On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables Abstract and Applied Analysis |
| title | On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables |
| title_full | On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables |
| title_fullStr | On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables |
| title_full_unstemmed | On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables |
| title_short | On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables |
| title_sort | on complete convergence for weighted sums of arrays of dependent random variables |
| url | http://dx.doi.org/10.1155/2011/630583 |
| work_keys_str_mv | AT soohaksung oncompleteconvergenceforweightedsumsofarraysofdependentrandomvariables |