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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 15
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Original Articles

Complete convergence and the strong laws of large numbers for pairwise NQD random variables

Yongfeng WuSchool of Mathematics and Computer Science, Tongling University, Tongling, China; ;School of Mathematics and Finance, Chuzhou University, Anhui, Chuzhou, China; Correspondence[email protected]
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JiangYan PengSchool of Mathematics Science, University of Electronic Science and Technology of China, Chengdu, ChinaView further author information
Pages 3864-3875 | Received 18 Jan 2018, Accepted 15 May 2018, Published online: 11 Mar 2019
 
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Abstract

The authors study the strong convergence for sequences of pairwise negatively quadrant dependent (NQD) random variables under some wide conditions, and present some new theorems on the complete convergence and the strong laws of large numbers. The obtained results extend and improve some theorems in existing literature.

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Funding

The research of Y. Wu was partially supported by the Natural Science Foundation of Anhui Province (1708085MA04), the Key Program in the Young Talent Support Plan in Universities of Anhui Province (gxyqZD2016316) and the Key NSF of Anhui Educational Committee (KJ2018A0428). The research of J. Peng was supported by the National Natural Science Foundation of China (71501025) and Applied Basic Project of Sichuan Province (2016JY0257).

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