Some laws of large numbers for arrays of random upper semicontinuous functions

Abstract The aim of this paper is to investigate some laws of large numbers for multidimensional arrays of level-wise negatively associated and level-wise pairwise negatively dependent random upper semicontinuous functions under various settings. We also provide some Rosenthal's type and Hajek-Renyi's type maximal inequalities for multi-dimensional structure. Our results are extensions of corresponding ones in the literature.

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