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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Hindawi Limited
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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doaj-b52efbe04f5e44b5b991ac3263c3b5f62020-11-25T01:25:41ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mi-Hwa Ko |
| spellingShingle |
Mi-Hwa Ko Limiting Behavior of the Partial Sum for Negatively Superadditive Dependent Random Vectors in Hilbert Space Journal of Mathematics |
| author_facet |
Mi-Hwa Ko |
| author_sort |
Mi-Hwa Ko |
| title |
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_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_sort |
limiting behavior of the partial sum for negatively superadditive dependent random vectors in hilbert space |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4629 2314-4785 |
| publishDate |
2020-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2020/8609859 |
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AT mihwako limitingbehaviorofthepartialsumfornegativelysuperadditivedependentrandomvectorsinhilbertspace |
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