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Bull. Korean Math. Soc. 2020; 57(3): 607-622

Online first article March 2, 2020      Printed May 31, 2020

https://doi.org/10.4134/BKMS.b190391

Copyright © The Korean Mathematical Society.

On the convergence of series for rowwise sums of negatively superadditive dependent random variables

Haiwu Huang, Qingxia Zhang

Intelligent Information Processing and Application; Southwest Petroleum University

Abstract

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In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.

Keywords: NSD random variables, probability convergence of series

MSC numbers: 60F15

Supported by: This paper is supported by the National Nature Science Foundation of China (71963008), the Science and Technology Plan Project of Hunan Province (2016TP1020), Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), the Scientific Research
Fund of Hunan Provincial Education Department (18C0660), the National Statistical Science Research Project of China (2018LY05) and Hunan Provincial Natural Science Foundation of China (2018JJ2006; 2018JJ4024).

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