Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup
By utilizing the Rosenthal-type maximal moment inequality and truncation method, we mainly investigate the complete γ-th moment convergence for weighted sums of widely orthant dependent random variables in this paper. Some sufficient conditions of complete moment convergence are obtained, which gene...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/3120275 |
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| _version_ | 1832575521437777920 |
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| author | Qian Zhang Yi Wu |
| author_facet | Qian Zhang Yi Wu |
| author_sort | Qian Zhang |
| collection | DOAJ |
| description | By utilizing the Rosenthal-type maximal moment inequality and truncation method, we mainly investigate the complete γ-th moment convergence for weighted sums of widely orthant dependent random variables in this paper. Some sufficient conditions of complete moment convergence are obtained, which generalize some corresponding ones of negatively orthant dependent random variables in the literature. |
| format | Article |
| id | doaj-art-6e53fc2f77ee4f3f8064c8c4a958554f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6e53fc2f77ee4f3f8064c8c4a958554f2025-02-01T00:00:04ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/3120275Complete γ-th Moment Convergence for Weighted Sums Under WOD SetupQian Zhang0Yi Wu1Department of Public Elementary EducationSchool of Big Data and Artificial IntelligenceBy utilizing the Rosenthal-type maximal moment inequality and truncation method, we mainly investigate the complete γ-th moment convergence for weighted sums of widely orthant dependent random variables in this paper. Some sufficient conditions of complete moment convergence are obtained, which generalize some corresponding ones of negatively orthant dependent random variables in the literature.http://dx.doi.org/10.1155/jom/3120275 |
| spellingShingle | Qian Zhang Yi Wu Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup Journal of Mathematics |
| title | Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup |
| title_full | Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup |
| title_fullStr | Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup |
| title_full_unstemmed | Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup |
| title_short | Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup |
| title_sort | complete γ th moment convergence for weighted sums under wod setup |
| url | http://dx.doi.org/10.1155/jom/3120275 |
| work_keys_str_mv | AT qianzhang completegthmomentconvergenceforweightedsumsunderwodsetup AT yiwu completegthmomentconvergenceforweightedsumsunderwodsetup |