On Chung's type law of large numbers for fuzzy random variables

Statistics and Probability Letters

Volumn 74, Issue 1, 2005, Pages 67-75

  Joo, Sang Yeol ^a   Kim, Yun Kyung ^b   Kwon, Joong Sung ^c  

^a Kangwon National University   (South Korea)

^b Dongshin University   (South Korea)

^c SunMoon University   (South Korea)

Author keywords

Almost everywhere convergence; Convergence in probability; Embedding; Fuzzy random variables; L1 convergence; Law of large numbers

Indexed keywords

EID: 22144454965     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.04.030     Document Type: Article

References (13)

1. A. de Acosta Inequalities for B-valued random vectors with applications to the strong law of large numbers Ann. Probab. 9 1981 157-161
2. B.D. Choi S.H. Sung On Chung's strong law of large numbers in general Banach spaces Bull. Austral. Math. Soc. 37 1988 93-100
3. G. Debreu Integration of correspondences Proceedings of the Fifth Berkely Symposium on Mathematical Statistics and Probability, vol. II, Part I 1967 University of California Press Berkely 351-372
4. N. Etemadi On some classical results in probability theory Sankhya Ser. A 47 1984 215-221
5. E.P. Klement M.L. Puri D.A. Ralescu Limit theorems for fuzzy random variables Proc. Roy. Soc. London Ser. A 407 1986 171-182
6. V. Krätschmer Limit theorems for fuzzy random variables Fuzzy Sets and Systems 126 2002 253-263
7. R. Kruse The strong law of large numbers for fuzzy random variables Inform. Sci. 28 1982 233-241
8. H. Kwakernaak Fuzzy random variables I Inform. Sci. 15 1978 1-29
9. M. Miyakoshi M. Shimbo A strong law of large numbers for fuzzy random variables Fuzzy Sets and Systems 12 1984 133-142
10. M.L. Puri D.A. Ralescu Limit theorems for random compact sets in Banach spaces Math. Proc. Cambridge Phil. Soc. 97 1985 151-158
11. M.L. Puri D.A. Ralescu Fuzzy random variables J. Math. Anal. Appl. 114 1986 402-422
12. D.A. Ralescu Fuzzy random variables revisited Mathematics of Fuzzy Sets, Handbook Fuzzy Sets, Series 3 1999 Kluwer Boston 701-710
13. R.L. Taylor L. Seymour Y. Chen Weak laws of large numbers for fuzzy random sets Nonlinear Anal. 47 2001 1245-1256