Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 3: 344 - 355

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.004

Exponential Inequalities and Complete Convergence for Extended Negatively Dependent Random Variables

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  • School of Mathematical Science, Anhui University
SHEN Ai-ting(1979-), female, native of Hefei, Anhui, an associate professor of Anhui Universiry, M.S.D., engages in probability limit theorem.

Received date: 2013-12-27

  Online published: 2020-11-30

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)；

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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

Cite this article

SHEN Ai-ting, ZHU Hua-yan, ZHANG Ying . Exponential Inequalities and Complete Convergence for Extended Negatively Dependent Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(3) : 344 -355 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.004

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