A note on the complete convergence for arrays of dependent random variables
<p>Abstract</p> <p>A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et al. (2006). This result was partially extended to negatively associated and negatively dependent mean zero random variables by Chen et al. (...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/76 |
| _version_ | 1818484486989414400 |
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| author | Sung Soo Hak |
| author_facet | Sung Soo Hak |
| author_sort | Sung Soo Hak |
| collection | DOAJ |
| description | <p>Abstract</p> <p>A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et al. (2006). This result was partially extended to negatively associated and negatively dependent mean zero random variables by Chen et al. (2007) and Dehua et al. (2011), respectively. In this paper, we obtain complete extended versions of Kruglov et al.</p> <p> <b>Mathematics Subject Classification </b>60F15</p> |
| first_indexed | 2024-12-10T15:56:12Z |
| format | Article |
| id | doaj.art-5c1f10abab81481cb66ac3a5164115b4 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-10T15:56:12Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5c1f10abab81481cb66ac3a5164115b42022-12-22T01:42:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011176A note on the complete convergence for arrays of dependent random variablesSung Soo Hak<p>Abstract</p> <p>A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et al. (2006). This result was partially extended to negatively associated and negatively dependent mean zero random variables by Chen et al. (2007) and Dehua et al. (2011), respectively. In this paper, we obtain complete extended versions of Kruglov et al.</p> <p> <b>Mathematics Subject Classification </b>60F15</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/76Complete convergenceNegatively associated random variablesNegatively dependent random variables |
| spellingShingle | Sung Soo Hak A note on the complete convergence for arrays of dependent random variables Journal of Inequalities and Applications Complete convergence Negatively associated random variables Negatively dependent random variables |
| title | A note on the complete convergence for arrays of dependent random variables |
| title_full | A note on the complete convergence for arrays of dependent random variables |
| title_fullStr | A note on the complete convergence for arrays of dependent random variables |
| title_full_unstemmed | A note on the complete convergence for arrays of dependent random variables |
| title_short | A note on the complete convergence for arrays of dependent random variables |
| title_sort | note on the complete convergence for arrays of dependent random variables |
| topic | Complete convergence Negatively associated random variables Negatively dependent random variables |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/76 |
| work_keys_str_mv | AT sungsoohak anoteonthecompleteconvergenceforarraysofdependentrandomvariables AT sungsoohak noteonthecompleteconvergenceforarraysofdependentrandomvariables |