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.

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.

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.