Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (4): 592-601.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.014

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On the Strong Rates of Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

  

  1. School of Mathematical Science, Anhui University
  • Received:2013-04-21 Online:2014-12-30 Published:2020-11-26
  • About author:ZHENG Lu-lu(1989-), female, native of Hefei, Anhui, M.S.D., engages in probability limit theorem; WANG Xue-jun(1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability limit theorem.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11201001); Supported by the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03); Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407); Supported by the Students Science Research Training Program of Anhui University(KYXL2014017);

Abstract: A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables. 

Key words: extended negatively dependent random variables, negatively dependent, complete convergence

CLC Number: