期刊论文

Huang, Haiwu

英文

Applications of Mathematics

0862-7940

2020

65

4

355-377

10.21136/AM.2020.0255-18

Science and Technology Plan Project of Hunan Province [2016TP1020]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [18C0660]; National Statistical Science Research Project of China [2018LY05]; State Scholarship Fund of China Scholarship CouncilChina Scholarship Council [201908430242]; Natural Sciences and Engineering Research Council of CanadaNatural Sciences and Engineering Research Council of CanadaCGIAR [RGPIN-2018-06466]

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In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established. These main results generalize and improve the corresponding theorems of Baum and Katz (1965) and Chow (1988) to weighted sums of NSD random variables without the assumption of identical distribution. As an application, a Marcinkiewicz-Zygmund-type strong law of large numbers for weighted sums of NSD random variables is...