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关于NA情况下重对数律收敛速度的一般形式
On the general forms of the convergence rates of law of iterated logarithm in negatively associated random variables.
【摘要】 研究了NA序列重对数律收敛速度的一般形式,把Davis和Gut的结果推广到了NA的情形,并使梁汉营等人关于对数律一个结果成为特例;作为推论,得到了关于NA序列重对数律收敛速度的充分条件.
【Abstract】 The general forms of the convergence rates of negatively associated random sequences are discussed, and the results of Davis and Gut are extended. What’s more, one of the main results obtained by LIANG Han- ying and SU Chun becomes a particular case here, and then, several sufficient and necessary conditions about the convergence of law of iterated logarithm in negatively associated random variables are obtained.
【关键词】 NA序列;
重对数律;
收敛速度;
一般形式;
【Key words】 NA sequences; law of iterated logarithm; convergence rates; general forms;
【Key words】 NA sequences; law of iterated logarithm; convergence rates; general forms;
【基金】 国家自然科学基金资助项目(10131040).
- 【文献出处】 浙江大学学报(理学版) ,Journal of Zhejiang University(Sciences Edition) , 编辑部邮箱 ,2003年05期
- 【分类号】O211.5
- 【被引频次】3
- 【下载频次】46