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

Abstract

In this paper, the complete moment convergence for the partial sums of moving average processes $\{X_n={\sum }_{i=-\infty }^{\infty }{a}_i{Y}_{i+n},n\ge 1\}$ 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.

On March 30, 2023 submitted to "Mathematica Applicata". 15 pages. arXiv admin note: text overlap with arXiv:2403.18304