@article{Xu2023, 
author = {Mingzhou Xu},
title = {Complete convergence of moving average processes produced by negatively dependent random variables under sub-linear expectations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {17067-17080},
keywords = {complete moment convergence, complete convergence, negatively dependent random variables, sub-linear expectations},
url = {https://www.sciopen.com/article/10.3934/math.2023871},
doi = {10.3934/math.2023871},
abstract = {Suppose that    {      a    i    ,  −  ∞  <  i  <  ∞  } is an absolutely summable set of real numbers,    {      Y    i    ,  −  ∞  <  i  <  ∞  } is a subset of identically distributed, negatively dependent random variables under sub-linear expectations. Here, we get complete convergence and Marcinkiewicz-Zygmund strong law of large numbers for the partial sums of moving average processes    {      X    n    =      ∑          i      =      −      ∞              ∞            a          i            Y          i      +      n        ,  n  ≥  1  } produced by    {      Y    i    ,  −  ∞  <  i  <  ∞  } of identically distributed, negatively dependent random variables under sub-linear expectations, complementing the relevant results in probability space.}
}