A note on strong convergence of sums of dependent random variables

Abstract

For a sequence of dependent square-integrable random variables and a sequence of positive constants { b n,n≥1 }, conditions are provided under which the series ∑ i=1n (X i-EX i)/b i converges almost surely as n→∞. These conditions are weaker than those provided by Hu et al. (2008). © 2009 T.-C. Hu and N. C.Weber.