Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables
The equivalent conditions of complete convergence are established for weighted sums of ρ~-mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz-Zygmund type strong law of large number...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/612140 |
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| _version_ | 1850164238966849536 |
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| author | Chongfeng Lan |
| author_facet | Chongfeng Lan |
| author_sort | Chongfeng Lan |
| collection | DOAJ |
| description | The equivalent conditions of complete convergence are established for
weighted sums of ρ~-mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequence of ρ~-mixing random variables is obtained. |
| format | Article |
| id | doaj-art-eb14a655d1044bc0b717b4a95351a9cc |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-eb14a655d1044bc0b717b4a95351a9cc2025-08-20T02:22:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/612140612140Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random VariablesChongfeng Lan0School of Economics and Management, Fuyang Normal College, Fuyang 236037, ChinaThe equivalent conditions of complete convergence are established for weighted sums of ρ~-mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequence of ρ~-mixing random variables is obtained.http://dx.doi.org/10.1155/2014/612140 |
| spellingShingle | Chongfeng Lan Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables Journal of Applied Mathematics |
| title | Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables |
| title_full | Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables |
| title_fullStr | Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables |
| title_full_unstemmed | Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables |
| title_short | Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables |
| title_sort | sufficient and necessary conditions of complete convergence for weighted sums of ρ mixing random variables |
| url | http://dx.doi.org/10.1155/2014/612140 |
| work_keys_str_mv | AT chongfenglan sufficientandnecessaryconditionsofcompleteconvergenceforweightedsumsofrmixingrandomvariables |