NA随机变量序列加权和的Chover型重对数律

Chover's Law of Iterated Logarithm for Weighted Partial Sums of NA Random Variables Sequences

利用NA随机变量的指数不等式,对于具有重尾分布的同分布的NA随机变量序列,得到了用积分检验来刻划其加权部分和的极限定理,作为推论还得到了Chover型重对数律.把这些结果应用到经典的可和方式,获得了相应的结果.这些结果推广了已知的一些结论.

We establish the integral test for the weighted partial sums of identically distributed NA random variables with heavy-tailed distribution assumption by using the exponential in- equality, and obtain the Chover＇s law of iterated logarithm as a corollary. As applications, the corresponding limit results for some classical summable methods are also established. These results in this paper extend the related known works in the literature.