Abstract: We discussed complete convergence for ρ^-mixing random sequence, and obtained the general equivelent relationship between the rate of complete convergence and moment condition of random variables by means of the Rosenthal type inequality of ρ^- mixing random sequence and the trun cation method. The results are consistent with those for independent sequence that confirms the similarity in complete convergence between ρ^-mixing sequence and independent one.

Key words: ρ^- mixing random sequence, complete convergence, moment condition