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

Huang, Haiwu ; Zhang, Hanjun ; Zhang, Qingxia ; Peng, Jiangyan

Kybernetika, Tome 51 (2015) no. 6, pp. 960-972

Abstract (VO)

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].

Détail

DOI : 10.14736/kyb-2015-6-0960

Classification : 60F15
Keywords: arrays of rowwise AANA random variables; complete convergence; Marcinkiewicz–Zygmund type strong law of large numbers; weighted sums

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