We extend and generalize some recent results on complete convergence for independent non-identically distributed random variables (cf. Duncan and Szynal, 1984; Gut, 1992; Hu et al., 1989). In the main result no assumptions ...

For a sequence of Banach space valued random elements {Vn,n≥1} (which are not necessarily independent) with the series ∑n=1 ∞Vn converging unconditionally in probability and an infinite array a={ani,i≥n,n≥1} of constants, ...

We extend and generalize some recent results on complete convergence (cf. Hu, Moricz, and Taylor [14], Gut [11], Wang, Bhaskara Rao, and Yang [26], Kuczmaszewska and Szynal [17], and Sung [23]) for arrays of rowwise ...