【摘要】 设{Xn,n≥1}是同分布的ρ*混合序列,其分布属于特征指数为α(0<α<2)的非退化稳定分布正则吸引场.利用ρ*混合序列的矩不等式证明了依概率1有lim sup〔〔sum from i=1 to n Xi〕/n1/α〕1/(log logn)=e1/α n→∞,并获得了一系列等价条件.更多还原

【Abstract】 Let {Xn,n≥1} be ρ*-mixing sequences with identical distributions belonging to the domain of the normal attraction with non-degenerate stable distribution.By means of the moment inequalities of the ρ*-mixing sequences,it was proved that probability 1 possesses lim sup〔〔sum from i=1 to n Xi〕/n1/α〕1/(log logn)=e1/α n→∞,and some equivaent conditions were obtained.更多还原