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Article

Huang, Haiwu ; Zhang, Hanjun ; Zhang, Qingxia ; Peng, Jiangyan
Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables. (English). Kybernetika, vol. 51 (2015), issue 6, pp. 960-972
MSC: 60F15 | MR 3453680 | Zbl 06537790 | DOI: 10.14736/kyb-2015-6-0960
Keywords:
arrays of rowwise AANA random variables; complete convergence; Marcinkiewicz–Zygmund type strong law of large numbers; weighted sums
Summary:
In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].
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