On Chung’s Law of Large Numbers for Arrays of Extended Negatively Dependent Random Variables

  • Haiwu Huang College of Mathematics and Statistics, Hengyang Normal University, Hengyang, PR China
  • Yanchun Yi College of Mathematics and Statistics, Hengyang Normal University, Hengyang, PR China
  • Andrei Volodin Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada
  • Sujitta Suraphee Research Unit on Statistics and Applied Statistics, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
Keywords: Arrays of rowwise extended negatively dependent random variables, complete convergence, complete qth moment convergence, Lq convergence

Abstract

In this article, we present some sharp convergence results for partial sums of arrays of rowwise extended negatively dependent random variables. These results are established without assumptions of the identical distribution and stochastic domination. The results generalize and improve the corresponding results of Hu and Taylor (1997), Wu and Zhu (2010), and Wu et al. (2014).

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Published
2021-03-29
Section
Articles