END随机变量的指数型不等式和完全收敛性

沈爱婷, 朱华炎, 张颖

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

数学季刊 >

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

DOI: https://doi.org/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

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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.

收稿日期: 2013-12-27

网络出版日期: 2020-11-30

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)；

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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

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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

本文引用格式

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

Abstract

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

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