@article{Xu2026, 
author = {Mingzhou Xu and Xuhang Kong},
title = {Complete moment convergence of moving average processes generated by    m-widely acceptable sequences under sub-linear expectations},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {5},
pages = {15215-15232},
keywords = {m-widely acceptable random variables, complete convergence, sub-linear expectation, complete moment convergence, moving average processes},
url = {https://www.sciopen.com/article/10.3934/math.2026626},
doi = {10.3934/math.2026626},
abstract = {In this article, the complete moment convergence for the partial sum of moving average processes    {      X    n    =      ∑          i      =      −      ∞              ∞            a    i        Y          i      +      n        ,  n  ≥  1  } is established under some proper conditions, where    {      Y    i    ,  −  ∞  <  i  <  ∞  } 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    (  Ω  ,            H        ,      E    ), and    {      a    i    ,  −  ∞  <  i  <  ∞  } 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.}
}