Mosco convergence of strong laws of large numbers for
triangular array of row-wise exchangeable random sets and
fuzzy random sets
Tác giả: Nguyễn Văn Quảng, Dương Xuân Giáp
STOCHASTICS
Quyển: Vol.94, No.1 Trang: 86-110
Năm xuất bản: 1/2022
Tóm tắt
In this paper, we obtain strong laws of large numbers for triangular array of row-wise exchangeable random sets and fuzzy random
sets in a separable Banach space in the Mosco sense. Our results are
obtained without bounded expectation condition, with or without
compactly uniformly integrable and reverse martingale hypotheses. They improve some related results in literature. Moreover, some
typical examples illustrating this study are provided.
Từ khóa
Triangular array; random set; strong law of large numbers; Mosco convergence; exchangeability
