Complete Convergence of Randomly Weighted Sums of NOD Random Variables
Received:August 20, 2016  Revised:September 22, 2017
Key Word: complete convergence   randomly weighted   NOD sequences   strong law of large numbers  
Fund ProjectL: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 NameAffiliation
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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