Some laws of large numbers for arrays of random upper semicontinuous functions
Tác giả: Dương Xuân Giáp, Nguyễn Văn Quảng, Bùi Nguyên Trâm Ngọc
Fuzzy Sets and Systems
Quyển: 435 Trang: 129-148
Năm xuất bản: 5/2022
Tóm tắt
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.
Từ khóa
Multidimensional array, random set, level-wise negatively associated, level-wise pairwise negatively dependent, random upper semicontinuous functions.
