期刊论文

Huang, Haiwu

英文

JOURNAL OF INEQUALITIES AND APPLICATIONS

1025-5834

2018

2018

1

1-13

10.1186/s13660-018-1906-5

This paper is 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), Hunan Provincial Natural Science Foundation of China (2018JJ4024), the Scientific Research Fund of Hunan Provincial Education Department (17A030), and the 2018 National Statistical Science Research Project of China (2018LY05).

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In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize ...