Limit theorems for fuzzy-random variables

2002 ◽  
Vol 126 (2) ◽  
pp. 253-263 ◽  
Author(s):  
Volker Krätschmer
Keyword(s):  
Limit Theorems ◽  
Random Variables ◽  
Fuzzy Random Variables ◽  
Fuzzy Random

scholarly journals Negative dependence for fuzzy random variables: Basic definitions and some limit theorems

Filomat ◽  
2016 ◽  
Vol 30 (9) ◽  
pp. 2535-2549 ◽  
Author(s):  
H. Ahmadzade ◽  
M. Amini ◽  
S.M. Taheri ◽  
A. Bozorgnia
Keyword(s):  
Strong Convergence ◽  
Limit Theorems ◽  
Random Variables ◽  
Weighted Sums ◽  
Negative Dependence ◽  
Fuzzy Random Variables ◽  
Weak And Strong Convergence ◽  
Basic Properties ◽  
Direct Extension ◽  
Fuzzy Random

The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.

Erratum to: On Limit Theorems for t-Normed Sums of Fuzzy Random Variables

2004 ◽  
pp. 761-761
Author(s):  
Miguel López-Díaz ◽  
María Á. Gil ◽  
Przemysław Grzegorzewski ◽  
Olgierd Hryniewicz ◽  
Jonathan Lawry
Keyword(s):  
Limit Theorems ◽  
Random Variables ◽  
Fuzzy Random Variables ◽  
Fuzzy Random

Some inequalities and limit theorems for fuzzy random variables adopted with $$\alpha $$-values of fuzzy numbers

2019 ◽  
Vol 24 (5) ◽  
pp. 3797-3807
Author(s):  
Gholamreza Hesamian ◽  
Mohammad Ghasem Akbari ◽  
Vahid Ranjbar
Keyword(s):  
Limit Theorems ◽  
Fuzzy Numbers ◽  
Random Variables ◽  
Fuzzy Random Variables ◽  
Fuzzy Random

scholarly journals Limit theorems for fuzzy random variables

1986 ◽  
Vol 407 (1832) ◽  
pp. 171-182 ◽  
Keyword(s):  
Banach Space ◽  
Limit Theorem ◽  
Limit Theorems ◽  
Law Of Large Numbers ◽  
Random Variables ◽  
Embedding Theorems ◽  
Fuzzy Random Variables ◽  
Strong Law ◽  
Large Numbers ◽  
Fuzzy Random

A strong law of large numbers and a central limit theorem are proved for independent and identically distributed fuzzy random variables, whose values are fuzzy sets with compact levels. The proofs are based on embedding theorems as well as on probability techniques in Banach space.

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