Title
A uniform strong law of large numbers for partial sum processes of fuzzy random variables indexed by sets
Abstract
We consider random intervals as measurable mappings from a probability space into the set of intervals of R and prove a uniform strong law of large numbers for sequences of independent and identically distributed random intervals. Also we consider fuzzy random variables and prove a uniform strong law of large numbers for sequences of fuzzy random variables. Our results generalize that of Bass and Pyke [Ann. Probab. 12 (1984) 268]. (C) 1998 Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1998
10.1016/S0165-0114(97)00015-8
Fuzzy Sets and Systems
Keywords
Field
DocType
uniform law of large number,partial sum process,random interval,fuzzy random variable
Exchangeable random variables,Discrete mathematics,Convergence of random variables,Random element,Central limit theorem,Combinatorics,Random variate,Multivariate random variable,Independent and identically distributed random variables,Sum of normally distributed random variables,Mathematics
Journal
Volume
Issue
ISSN
99
1
0165-0114
Citations 
PageRank 
References 
1
0.40
1
Authors
2
Name
Order
Citations
PageRank
Lee-Chae Jang17717.18
Joong-Sung Kwon2204.05