Note on the complete moment convergence for moving average process of a class of random variables under sub-linear expectations (2403.19209v1)

Abstract: In this paper, the complete moment convergence for the partial sums of moving average processes ${X_n=\sum_{i=-\infty}^{\infty}a_iY_{i+n},n\ge 1}$ is proved under some proper conditions, where ${Y_i,-\infty<i<\infty}$ is a doubly sequence of identically distributed, negatively dependent random variables under sub-linear expectations and ${a_i,-\infty<i<\infty}$ is an absolutely summable sequence of real numbers. The results established in sub-linear expectation spaces generalize the corresponding ones in probability space.