On Modification of the Law of Large Numbers and Linear Regression of Fuzzy Random Variables

2021 ◽  
pp. 76-91
Author(s):  
Vladimir L. Khatskevich
Keyword(s):  
Linear Regression ◽  
Law Of Large Numbers ◽  
Random Variables ◽  
Fuzzy Random Variables ◽  
Large Numbers ◽  
The Law ◽  
Fuzzy Random

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

2021 ◽  
pp. 1-8
Author(s):  
Li Guan ◽  
Jinping Zhang ◽  
Jieming Zhou
Keyword(s):  
Law Of Large Numbers ◽  
Hausdorff Metric ◽  
Random Variables ◽  
Fuzzy Random Variables ◽  
Strong Law ◽  
Fuzzy Variables ◽  
Large Numbers ◽  
The Law ◽  
Fuzzy Random

This work proposes the concept of uncorrelation for fuzzy random variables, which is weaker than independence. For the sequence of uncorrelated fuzzy variables, weak and strong law 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.

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