Some laws of large numbers for arrays of random upper semicontinuous functions
Authors: Duong Xuan Giap, Nguyen Van Quang, Bui Nguyen Tram Ngoc
Fuzzy Sets and Systems
: 435 : 129-148
Publishing year: 5/2022
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 H\'ajek-R\'enyi's type maximal inequalities for multi-dimensional structure. Our results are extensions of corresponding ones in the literature.
Multidimensional array, random set, level-wise negatively associated, level-wise pairwise negatively dependent, random upper semicontinuous functions.
