Kybernetika 51 no. 6, 960-972, 2015

Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables

Haiwu Huang, Hanjun Zhang, Qingxia Zhang and Jiangyan PengDOI: 10.14736/kyb-2015-6-0960

Abstract:

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. \cite{Wang 8}, but also partially improve the corresponding ones of Huang et al. \cite{Huang 16}.

Keywords:

complete convergence, weighted sums, arrays of rowwise AANA random variables, Marcinkiewicz-Zygmund type strong law of large numbers

Classification:

60F15

paper.pdf

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