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Some Strong Laws of Large Numbers for Arrays of 2-Exchangeable Random Sets and Fuzzy Random Sets

  • Duong Xuan Giap

摘要

Abstract

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 single-valued random variables taking values in a Banach space. Our results extend some related results in literature. Some typical examples illustrating this study are provided.