利用随机变量阵列的强逼近,得到了随机变量阵列的单对数极限律,深化了已有的研究结果。同时,对取值于Banach空间的随机元阵列也得到了类似的结果。
The limit law of the single logarithm by arrays of i.i.d random variables is obtained through the strong ap-proximations, deepening the existing result.And the similar result is got in Banach space setting.