关键词: &beta, )混合序列, 完全收敛性, Rosenthal型不等式, (&alpha, 加权和

Abstract: We obtained a complete convergence theorem for maximum of weighted sums  of rowwise (α,β) mixing arrays  by using the Rosenthal type maximum inequality for (α,β) mixing sequence, and made use of this theorem to prove  a MarcinkiewiczZygmund type strong law of large numbers for maximum of weighted sums of (α,β) mixing sequence. The obtained results  weakened the required moment conditions.

Key words: (α,β) mixing sequence; , complete convergence, Rosenthal’s type of inequality, weighted sum