On the Almost Sure Convergence of Weighted Sums of
I.I.D. Random Variables
Dao Quang Tuyen
Abstract. We generalize some theorems of Chow
and Lai  to general weighted sums of i.i.d. random variables.
Acharacterization of moment conditions like Eeα|X|^β|X|γ <∞
or E|X|α(log+|X|)β < ∞
is also given.
by Vietnam Academy of Science and Technology & Vietnam Mathematical