On the Strong Law of Large Numbers for END Sequences
Received:May 17, 2019  Revised:October 09, 2019
Key Word: strong law of large numbers   Marcinkiewicz mean law   logarithmic mean law   END sequences  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11701004), the Natural Science Foundation of Anhui Province (Grant Nos.1808085QA03; 1808085QF212; 1808085QA17), Provincial Natural Science Research Project of Anhui Colleges (Grant Nos.KJ2016A027; KJ2017A027; KJ2019A0006), Excellent Young Talents Research Project of Anhui Colleges (Grant No.gxyq2018102) and Key Research Project of Suzhou University (Grant No.2017yzd16).
Author NameAffiliation
Hao LI School of Mathematics and Statistics, Suzhou University, Anhui 234000, P. R. China 
Xiaoqin LI School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China 
Pengju DUAN School of Mathematics and Statistics, Suzhou University, Anhui 234000, P. R. China 
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Abstract:
      We investigate the strong law of large numbers (SLLN) for a large class of mean based on the Extended Negatively Dependent (END) sequences. The sufficient conditions are obtained for the mean of SLLN in this paper. As an important application, the SLLN of Marcinkiewicz mean and logarithmic mean are presented immediately. In addition, we do some simulations for the mean of SLLN based on END random variables.
Citation:
DOI:10.3770/j.issn:2095-2651.2020.04.010
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