Abstract
For a sequence of i.i.d. unbounded random variables {Y n , n ≥ 1} and a constant b > 1, it is shown for that if 𝔼(log (max {|Y 1|, e})) < ∞, then
Mathematics Subject Classification:
The research of Deli Li was partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada and the research of Yongcheng Qi was partially supported by NSF Grant DMS-0604176.