Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space

Authors:
Nguyen Van Quang;Nguyen Tran Thuan
Affiliations:
Department of Mathematics, Vinh University, Nghe An Province, Viet Nam;Department of Mathematics, Vinh University, Nghe An Province, Viet Nam
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

In this paper, we establish some strong laws of large numbers for double adapted arrays of set-valued and fuzzy-valued random variables in separable Banach space. Our results are obtained with and without conditionally compactly uniformly integrable hypothesis, and they are more general than some related results.