A Note on Strong Convergence of Sums of Dependent Random Variables

الملخص EN

For a sequence of dependent square-integrable random variables and a sequence of positive constants {bn, n≥1}, conditions are provided under which the series ∑i=1n(Xi−EXi)/bi converges almost surely as n→∞.

These conditions are weaker than those provided by Hu et al.

(2008).