Lp $L_{p}$-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$
Abstract In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$, we establish results on Lp $L_{p}$-convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1699-6 |
| Summary: | Abstract In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$, we establish results on Lp $L_{p}$-convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws of large numbers for coordinatewise asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$. |
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| ISSN: | 1029-242X |