| On the Strong Law of Large Numbers for END Sequences |
| Received:May 17, 2019 Revised:October 09, 2019 |
| Key Words:
strong law of large numbers Marcinkiewicz mean law logarithmic mean law END sequences
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| Fund Project: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). |
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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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