Some Strong Laws of Large Numbers for Arrays
of 2-Exchangeable Random Sets and Fuzzy Random Sets
Tác giả: Dương Xuân Giáp
Lobachevskii Journal of Mathematics
Quyển: 45 (9) Trang: 4097–4110
Năm xuất bản: 12/2024
Tóm tắt
The purpose of this paper is to give some strong laws of large numbers for arrays of 2-exchangeable random sets and fuzzy random sets in a separable Banach space. To get convergence theorems for multi-valued random variables, we also improve some results in the case of singlevalued random variables taking values in a Banach space. Our results extend some related results in literature. Some typical examples illustrating this study are provided.
Từ khóa
Banach space, random variable, random set, fuzzy random set, exchangeable, strong law of large numbers
