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

被引：9

作者：

Nguyen Van Quang ^{[1
]}

Nguyen Tran Thuan ^{[1
]}

机构：

[1] Vinh Univ, Dept Math, Vinh, Nghe An Provinc, Vietnam

来源：

FUZZY SETS AND SYSTEMS | 2012年 / 209卷

关键词：

Adapted array; Strong law of large numbers; Conditionally compactly uniformly integrable; Stochastically dominated; p-Uniformly smooth; Set-valued random variable; Fuzzy set; Fuzzy-valued random variable; WEIGHTED SUMS; MULTIVALUED MARTINGALES; RANDOM ELEMENTS; RANDOM-FIELDS; WEAK LAWS; CONVERGENCE;

D O I：

10.1016/j.fss.2012.04.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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. (C) 2012 Published by Elsevier B.V.

引用

页码：14 / 32

页数：19

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