Limit theorems for random sets: An application of probability in banach space results

1983 ◽  
pp. 112-135 ◽  
Author(s):  
Evarist Giné ◽  
Marjorie G. Hahn ◽  
Joel Zinn
Keyword(s):  
Banach Space ◽  
Limit Theorems ◽  
Random Sets

scholarly journals Central limit theorems in Hölder topologies for Banach space valued random fields

2004 ◽  
Vol 49 (1) ◽  
pp. 109-125
Author(s):  
Alfredas Rackauskas ◽  
Alfredas Rackauskas ◽  
Charles Suquet ◽  
Charles Suquet
Keyword(s):  
Banach Space ◽  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Central Limit Theorems

Limit theorems for convex hulls of random sets

1993 ◽  
Vol 25 (02) ◽  
pp. 395-414 ◽  
Author(s):  
Ilya S. Molchanov
Keyword(s):  
Limit Theorems ◽  
Random Sets ◽  
Convex Hulls ◽  
Stable Sets ◽  
Limiting Distributions ◽  
Closed Set ◽  
Closed Sets ◽  
Random Closed Sets ◽  
Random Closed Set ◽  
Simple Limit

Let , be i.i.d. random closed sets in . Limit theorems for their normalized convex hulls conv () are proved. The limiting distributions correspond to C-stable random sets. The random closed set A is called C-stable if, for any , the sets anA and conv ( coincide in distribution for certain positive an, compact Kn , and independent copies A 1, …, An of A. The distributions of C-stable sets are characterized via corresponding containment functionals.

scholarly journals Central limit theorems for fuzzy random sets

2005 ◽  
Vol 15 (3) ◽  
pp. 337-342 ◽  
Author(s):  
Joong-Sung Kwon ◽  
Yun-Kyong Kim ◽  
Sang-Yeol Joo ◽  
Gyeong-Suk Choi
Keyword(s):  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems ◽  
Random Sets ◽  
Fuzzy Random Sets ◽  
Fuzzy Random

Limit Theorems for Markov Random Sets

1973 ◽  
Vol 17 (3) ◽  
pp. 426-433 ◽  
Author(s):  
L. I. Piterbarg
Keyword(s):  
Limit Theorems ◽  
Random Sets ◽  
Markov Random
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