Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (3): 344-355.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.004

Previous Articles     Next Articles

Exponential Inequalities and Complete Convergence for Extended Negatively Dependent Random Variables

  

  1. School of Mathematical Science, Anhui University
  • Received:2013-12-27 Online:2014-09-30 Published:2020-11-30
  • About author:SHEN Ai-ting(1979-), female, native of Hefei, Anhui, an associate professor of Anhui Universiry, M.S.D., engages in probability limit theorem.
  • Supported by:
    Supported by the NSF of Anhui Province(1308085QA03,1408085QA02,1208085QA03); Supported by the Youth Science Research Fund of Anhui University; Supported by the Students Innovative Training Project of Anhui University(201410357118); Supported by the Students Science Research Training Program of Anhui University(kyxl2013003);

Abstract: Some exponential inequalities and complete convergence are established for extended negatively dependent(END) random variables. The inequalities extend and improve the results of Kim and Kim(On the exponential inequality for negative dependent sequence.Communications of the Korean Mathematical Society, 2007, 22(2): 315-321) and Nooghabi and Azarnoosh(Exponential inequality for negatively associated random variables. Statistical Papers, 2009, 50(2): 419-428). We also obtain the convergence rate O(n-1/2ln1/2n) for the strong law of large numbers, which improves the corresponding ones of Kim and Kim,and Nooghabi and Azarnoosh. 

Key words: extended negatively dependent sequence, exponential inequality, complete convergence

CLC Number: