Complete Convergence for Moving Average Processes under <i>m-</i>WOD Random Variables

The m- widely orthant dependent ( m- WOD) sequences are very weak dependent random variables. In the paper, the authors investigate the moving average processes, which is generated by m- WOD random variables. By using the tail cut technique and maximum moment inequality of the m- WOD random variables, moment complete convergence and complete convergence of the maximal partial sums for the moving average processes are obtained, the results generalize and improve some corresponding results of the existing literature.