Exchangeability and convergence for random sets

Information Sciences

Volumn 133, Issue 1-2, 2001, Pages 23-37

  Inoue, Hiroshi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Exchangeability; Fuzzy random set; Laws of large numbers

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; INFORMATION THEORY; RANDOM PROCESSES;

FUZZY RANDOM SET;

FUZZY SETS;

EID: 0035272231     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(01)00075-5     Document Type: Article

References (38)

1. Strong law of large numbers for random compact sets
2. A strong limit theorem for random sets
3. Theoreme ergodique et loi forte des grands nombres pour des ensembles aleatories
4. Loi forte des grands nombres pour des ensembles aleatories non bornes a valeurs dans un espace de Banach separable
5. Law of large numbers for random sets and allocation processes
6. The strong law of large numbers for fuzzy random variables
7. A strong law of large numbers for Banach space-valued random sets
8. Limit theorems for random compact sets in Banach spaces
9. Limit theorems for random sets: An application of probability in Banach space results
10. Convergence of condexpectations and strong law of large numbers for multivalued random variables
11. Convergence of weighted sums of random sets
12. Convexification in limit law of random sets in Banach spaces
13. A generalized strong law of large numbers
14. Limit theorems for fuzzy random variables
15. Separability for graph convergence of sequences of fuzzy valued random variables
16. Strong low of large numbers for exchangeable random variables
17. Fuzzy random variables
18. Convex fuzzy random variables
19. A strong law of large numbers for fuzzy random variables
20. A strong law of large numbers for fuzzy random sets
21. A SLLN for arrays of row-wise exchangeable fuzzy random sets
22. Strong laws of large numbers for triangular arrays of exchangable random variables
23. A survey on exchangeable random variables in normed spaces
24. Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
25. Integral of set-valued functions
26. Integration of correspondences
27. On pairwise independent and independent exchangeable random variables
28. On laws of large numbers for exchangeable random variables
29. An embedding theorem for spaces of convex sets
30. Use of exchangeability
31. Elements aleatories dan un espace de Banach
32. On Marcinkiewicz-Zygmund laws of large numbers in Banach Spaces and related rates of convergence
33. Modeling Sets