The complete convergence of ρ−-mixing random variables array

Let {Xnk; 1≤ k ≤n, n ≥ 1} be an array of rowwise ρ⁻-mixing random variables. The concept of complete convergence was proposed firstly by Hsu and Robbins, since the complete convergence stronger than many convergences, a lot of scholars have been paying attention to it´s limit properties. Because ρ⁻-mixing sequence is a class of mixing sequence with wide applications, such as in finance, stock, electron, hydrology, the corresponding limit properties are worth studying. In this paper, we discuss the complete convergence of ρ⁻-mixing random variables array by moment inequality under some suitable conditions.