| 李浩,李晓琴,段鹏举.END序列强大数律研究[J].数学研究及应用,2020,40(4):432~440 |
| END序列强大数律研究 |
| On the Strong Law of Large Numbers for END Sequences |
| 投稿时间：2019-05-17 修订日期：2019-10-09 |
| DOI：10.3770/j.issn:2095-2651.2020.04.010 |
| 中文关键词: 强大数律 Marcinkiewicz均值大数定律 Logarithmic均值大数定律 END序列 |
| 英文关键词:strong law of large numbers Marcinkiewicz mean law logarithmic mean law END sequences |
| 基金项目:国家自然科学基金(Grant No.11701004),安徽省自然科学基金(Grant Nos.1808085QA03; 1808085QF212; 1808085QA17),安徽省高校自然科学研究项目重点项目(Grant Nos.KJ2016A027; KJ2017A027; KJ2019A0006),安徽省高校优秀青年人才支持计划项目(Grant No.gxyq2018102),宿州学院重点科研项目(Grant No.2017yzd16). |
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| 中文摘要: |
| 本文研究了END序列的均值强大数律,获得了均值强大数律的充分条件. 作为应用,我们可以立即得到Marcinkiewicz均值和logarithmic均值强大数律.最后我们开展了有关大数定律的数据模拟工 |
| 英文摘要: |
| 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. |
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