On the Strong Law of Large Numbers for END Sequences  

作　　者：Hao LI Xiaoqin LI Pengju DUAN 

机构地区：[1]School of Mathematics and Statistics,Suzhou University,Anhui 234000,P.R.China [2]School of Mathematical Sciences,Anhui University,Anhui 230601,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第4期432-440,共9页数学研究及应用（英文版）

基　　金：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);Key Research Project of Suzhou University(Grant No.2017yzd16)。

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.

关 键 词：strong law of large numbers Marcinkiewicz mean law logarithmic mean law END sequences 

分 类 号：O211.5[理学—概率论与数理统计]