scholarly journals Weak laws of large numbers for weighted sums of Banach space valued fuzzy random variables

2013 ◽  
Vol 13 (3) ◽  
pp. 215-223 ◽  
Author(s):  
Yun Kyong Kim
Keyword(s):  
Banach Space ◽  
Random Variables ◽  
Weighted Sums ◽  
Fuzzy Random Variables ◽  
Laws Of Large Numbers ◽  
Large Numbers ◽  
Weak Laws ◽  
Fuzzy Random

scholarly journals Weak Laws of Large Numbers for Weighted Sums of Fuzzy Random Variables

2009 ◽  
Vol 16 (3) ◽  
pp. 529-540
Author(s):  
Young-Nam Hyun ◽  
Yun-Kyong Kim ◽  
Young-Ju Kim ◽  
Sang-Yeol Joo
Keyword(s):  
Random Variables ◽  
Weighted Sums ◽  
Fuzzy Random Variables ◽  
Laws Of Large Numbers ◽  
Large Numbers ◽  
Weak Laws ◽  
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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