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Some laws of large numbers for double arrays of random upper semicontinuous functions
Authors: Duong Xuan Giap, Nguyen Van Quang, Bui Nguyen Tram Ngoc
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Vinh University, Journal of Science
: 50-2A/2021     : 26-40
Publishing year: 10/2021
In this paper, we introduce some laws of large numbers for\break double array of level-wise negatively associated random upper semicontinuous functions under various settings. We also establish some maximal inequalities for 2-dimensional structure. Our results are extensions for corresponding ones in the literature.
Random set; level-wise negatively associated; random upper semicontinuous functions.