Equivalent conditions of the complete convergence for weighted sums of NSD random variables

Haiwu Huang, Hang Zou and Qingxia Zhang

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 18, 4675-4689

Abstract: In this paper, we consider the complete convergence for weighted sums of negatively superadditive-dependent (NSD) random variables without assumptions of identical distribution. Some sufficient and necessary conditions to prove the complete convergence for weighted sums of NSD random variables are presented, which extend and improve the corresponding ones of Naderi et al. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of NSD random variables is also achieved.

Date: 2019
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DOI: 10.1080/03610926.2018.1500601

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