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| ND随机变量列的指数不等式 | |
| 引用本文： | 陈晓林,吴群英,周德宏. ND随机变量列的指数不等式[J]. 浙江大学学报(理学版), 2011, 38(1): 31-33. DOI: 10.3785/j.issn.1008-9497.2011.01.008 |
| 作者姓名： | 陈晓林 吴群英 周德宏 |
| 作者单位： | 1. 汉滨区五里高级中学,陕西,安康,725018;桂林理工大学,理学院,广西,桂林,541004 2. 桂林理工大学,理学院,广西,桂林,541004 3. 汉滨区五里高级中学,陕西,安康,725018 |
| 摘 要： | 主要研究了同分布ND随机变量列的指数不等式,通过指数不等式得出关于ND随机变量列强大数定律的收敛率为O（1）n1/2（logn）-1/2.推广了Soo Hak Sung（2009）关于NA的结果. |
| 关 键 词： | ND随机变量 指数不等式 收敛率 |
An exponential inequality for negatively dependent random variables |
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| CHEN Xiao-lin,WU Qun-ying,ZHOU De-hong. An exponential inequality for negatively dependent random variables[J]. Journal of Zhejiang University(Sciences Edition), 2011, 38(1): 31-33. DOI: 10.3785/j.issn.1008-9497.2011.01.008 | |
| Authors: | CHEN Xiao-lin WU Qun-ying ZHOU De-hong |
| Affiliation: | CHEN Xiao-lin1,2,WU Qun-ying2,ZHOU De-hong1(1.Wuli Senior High School of Hanbin District,Ankang 725018,Shanxi Province,China,2.College of Science,Guilin University of Technology,Guilin 541004,Guangxi Province,China) |
| Abstract: | An exponential inequality is established for identically distributed negatively dependent random variables.By this exponential inequality,the convergence rate O(1)n1/2(log n)-1/2 for the strong law of large numbers is obtained.This article extended the Soo Hak Sung's results about negatively associated random variables. |
| Keywords: | negatively dependent random variables exponential inequality convergence rate |
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