Complete moment convergence of moving average processes generated by $m$-widely acceptable sequences under sub-linear expectations

In this article, the complete moment convergence for the partial sum of moving average processes $\{X_n=\sum _{i=-\mathrm{\infty }}^{\mathrm{\infty }}{a}_i{Y}_{i+n},n\ge 1\}$ is established under some proper conditions, where $\{Y_i,-\mathrm{\infty }<i<\mathrm{\infty }\}$ is a sequence of $m$-widely acceptable ( $m$-WA) random variables, which is stochastically dominated by a random variable $Y$ in sub-linear expectations space $(\mathrm{\Omega },\mathcal{H},\mathbb{E})$, and $\{a_i,-\mathrm{\infty }<i<\mathrm{\infty }\}$ is an absolutely summable sequence of real numbers. The results extend the relevant results in probability space to those under sub-linear expectations. A Rosenthal-type inequality for $m$-WA random variables is also eatablished.