@article{Dong2023, 
author = {He Dong and Xili Tan and Yong Zhang},
title = {Complete convergence and complete integration convergence for weighted sums of arrays of rowwise    m-END under sub-linear expectations space},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6705-6724},
keywords = {complete convergence, sub-linear expectations space, rowwise m-END random variables, complete integration convergence},
url = {https://www.sciopen.com/article/10.3934/math.2023340},
doi = {10.3934/math.2023340},
abstract = {In this paper, we study the complete convergence and the complete integration convergence for weighted sums of    m-extended negatively dependent (   m-END) random variables under sub-linear expectations space with the condition of                      E            ^            |    X            |        p    ⩽      C                  V              (      |    X            |        p    )  <  ∞,    p  >  1      /    α and    α  >  3      /    2. We obtain the results that can be regarded as the extensions of complete convergence and complete moment convergence under classical probability space. In addition, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of    m-END random variables under the sub-linear expectations space is proved.}
}