期刊论文

Huang, Haiwu

英文

FILOMAT

0354-5180

2019

33

1

81-92

10.2298/FIL1901081H

2010 Mathematics Subject Classification. Primary 60F15; Secondary 60F25 Keywords. arrays of rowwise asymptotically almost negatively associated random variables; complete convergence; complete moment convergence Received: 22 February 2017; Accepted: 13 October 2017 Communicated by Miljana Jovanović Research supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China (15YJCZH066), the Science and Technology Plan Project of Hunan Province (2016TP1020), the Science and Technology Plan Project of Hengyang City (2017KJ183), Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), Hunan Provincial Natural Science Foundation of China (2018JJ2006; 2018JJ4024), the Scientific Research Fund of Hunan Provincial Education Department (17A030, 18C0660) and the National Statistical Science Research Project of China (2018LY05). Email addresses: haiwuhuang@126.com (Haiwu Huang), zqx121981@126.com (Qingxia Zhang), 1357103682@qq.com (Hang Zou), 357891510@qq.com (Xiongtao Wu)

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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, re...