Lil is a very precise phenomena whose rates of convergence have attracted many scholars " attention . [ 7 ] and [ 8 ] discussed the rate of convergence in lil of i . i . d . random sequences ; [ 9 ] discussed the convergence rates in the law of logarithm of na sequences [ v ] ， [ s ]研究了独立同分布随机变量序列重对数律的收敛速度; [ 0l研究了na随机变量序列的对数律的收敛速度; 14 ]研究了b值独立同分布随机变量的收敛速度;
