Law of large numbers for the sequence of uncorrelated fuzzy random variables-Reference-Cited by-同舟云学术

Law of large numbers for the sequence of uncorrelated fuzzy random variables

Published:2021-12-16 Issue:6 Volume:41 Page:6323-6330
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Guan Li¹,Zhang Jinping²,Zhou Jieming³

Affiliation:

1. College of Statistics and Data Science, Faculty of Science, Beijing University of Technology, Pingleyuan, Chaoyang District, Beijing, P.R. China

2. School of Mathematics and Physics, North China Electric Power University, Beijing, P.R. China

3. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, P.R. China

Abstract

This work proposes the concept of uncorrelation for fuzzy random variables, which is weaker than independence. For the sequence of uncorrelated fuzzy random variables, weak and strong laws of large numbers are studied under the uniform Hausdorff metric d H ∞ . The results generalize the law of large numbers for independent fuzzy random variables.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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