On the strong convergence for weighted sums of ρ-mixing random variables.

A complete convergence result is obtained for weighted sums of identically distributed ρ-mixing random variables with E| X| log(1 + | X|) < ∞ for some 0 < α ≤ 2. This result partially extends the result of Sung (Stat Papers 52: 447-454, ) for negatively associated random variables to ρ-mixing random variables. It also settles the open problem posed by Zhou et al. (J Inequal Appl, , doi:). [ABSTRACT FROM AUTHOR]