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 im...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.展开更多
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)+2 种基金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)。
文摘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.
