| Complete Convergence of Randomly Weighted Sums of NOD Random Variables |
| Received:August 20, 2016 Revised:September 22, 2017 |
| Key Words:
complete convergence randomly weighted NOD sequences strong law of large numbers
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11501005; 11671012; 11701004), the Natural Science Foundation of Anhui Province (Grant Nos.1508085J06; 1608085QA02), Science Research Project of Anhui Colleges (Grant Nos.KJ2015A065; KJ2016A027; KJ2017A027), Quality Engineering Project of Anhui Province (Grant Nos.2015jyxm054; ZLTS2015053) and Students Innovation Training Program of Anhui University (Grant No.201610357002). |
| Author Name | Affiliation | | Zhangrui ZHAO | School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China | | Xudong QIAO | School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China | | Wenzhi YANG | School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China | | Shuhe HU | School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China |
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| Abstract: |
| In this paper, we investigate the complete convergence of double-indexed randomly weighted sums of negatively orthant dependent (NOD) random variables. Some complete moment convergence and complete convergence of this dependent sequence are presented, Marcinkiewicz-Zygmund-type strong law of large numbers is also obtained. Our results extend some corresponding ones. In addition, some simulations are illustrated to show the convergence. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.06.009 |
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