Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space
In this paper, We study the complete convergence and Lp- convergence for the maximum of the partial sum of negatively superadditive dependent random vectors in Hilbert space. The results extend the corresponding ones of Ko (Ko, 2020) to H-valued negatively superadditive dependent random vectors.
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8609859 |
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| _version_ | 1832550371882434560 |
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| author | Mi-Hwa Ko |
| author_facet | Mi-Hwa Ko |
| author_sort | Mi-Hwa Ko |
| collection | DOAJ |
| description | In this paper, We study the complete convergence and Lp- convergence for the maximum of the partial sum of negatively superadditive dependent random vectors in Hilbert space. The results extend the corresponding ones of Ko (Ko, 2020) to H-valued negatively superadditive dependent random vectors. |
| format | Article |
| id | doaj-art-b52efbe04f5e44b5b991ac3263c3b5f6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b52efbe04f5e44b5b991ac3263c3b5f62025-02-03T06:06:55ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/86098598609859Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert SpaceMi-Hwa Ko0Division of Mathematics and Informational Statistics, Wonkwang University, Jeonbuk 54538, Republic of KoreaIn this paper, We study the complete convergence and Lp- convergence for the maximum of the partial sum of negatively superadditive dependent random vectors in Hilbert space. The results extend the corresponding ones of Ko (Ko, 2020) to H-valued negatively superadditive dependent random vectors.http://dx.doi.org/10.1155/2020/8609859 |
| spellingShingle | Mi-Hwa Ko Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space Journal of Mathematics |
| title | Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space |
| title_full | Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space |
| title_fullStr | Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space |
| title_full_unstemmed | Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space |
| title_short | Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space |
| title_sort | limiting behavior of the partial sum for negatively superadditive dependent random vectors in hilbert space |
| url | http://dx.doi.org/10.1155/2020/8609859 |
| work_keys_str_mv | AT mihwako limitingbehaviorofthepartialsumfornegativelysuperadditivedependentrandomvectorsinhilbertspace |