Equivalent conditions of the complete convergence for weighted sums of NSD random variables |
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| Authors: | Haiwu Huang Hang Zou Qingxia Zhang |
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| Institution: | 1. College of Mathematics and Statistics, Hengyang Normal University, Hengyang, P.R. China;2. Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, P.R. China;3. haiwuhuang@126.com;5. School of Mathematics and Statistics, Central South University, Changsha, P.R. China;6. School of Sciences, Southwest Petroleum University, Chengdu, P.R. China |
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| Abstract: | AbstractIn 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. |
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| Keywords: | NSD random variables complete convergence weighted sums equivalent conditions |
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