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

Huang, Hai-Jun; Zhang, Hanjun; Zhang, Qingxia; Peng, Jiangyan

doi:10.14736/kyb-2015-6-0960

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2019

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“…Since the concept of AANA was introduced by Chandra and Ghosal [4], many applications have been established in various aspects. For more details, we can refer to Chandra and Ghosal [4,5], Ko et al [6], Yuan and An [7,8] , Yuan and Wu [9], Wang et al [10][11][12], Yang et al [13], Hu et al [14], Tang [15], Shen and Wu [16], Huang et al [17], Shen et al [18], and so forth.…”

Section: Introductionmentioning

confidence: 99%

Complete convergence and complete moment convergence for arrays of rowwise asymptotically almost negatively associated random variables

Huang¹,

Zhang²,

Zou³

et al. 2019

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In this article, the authors investigate the complete convergence and complete moment convergence of the maximum partial sums for arrays of rowwise asymptotically almost negatively associated random variables without assumptions of identical distribution and stochastic domination, and obtain some new results, which not only generalize the corresponding theorems of Hu and Taylor (1997), Gan and Chen (2007), Wu (2012), but also improve them, respectively.

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