END随机变量的指数型不等式和完全收敛性

doi:10.13371/j.cnki.chin.q.j.m.2014.03.004

数学季刊 ›› 2014, Vol. 29 ›› Issue (3): 344-355.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.004

END随机变量的指数型不等式和完全收敛性

School of Mathematical Science, Anhui University

收稿日期:2013-12-27 出版日期:2014-09-30 发布日期:2020-11-30
作者简介:SHEN Ai-ting(1979-), female, native of Hefei, Anhui, an associate professor of Anhui Universiry, M.S.D., engages in probability limit theorem.
基金资助:
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)；

Exponential Inequalities and Complete Convergence for Extended Negatively Dependent Random Variables

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)；

摘要/Abstract

摘要： 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^-1/2ln^1/2n） for the strong law of large numbers, which improves the corresponding ones of Kim and Kim,and Nooghabi and Azarnoosh.

关键词: extended negatively dependent sequence, exponential inequality, complete convergence

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^-1/2ln^1/2n） 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

中图分类号:

O211.4

沈爱婷, 朱华炎, 张颖. END随机变量的指数型不等式和完全收敛性[J]. 数学季刊, 2014, 29(3): 344-355.

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.

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END随机变量的指数型不等式和完全收敛性

Exponential Inequalities and Complete Convergence for Extended Negatively Dependent Random Variables

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