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A uniform strong law of large numbers for partial sum processes of Banach space-valued random sets

✍ Scribed by Lee-Chae Jang; Joong-Sung Kwon

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
211 KB
Volume
38
Category
Article
ISSN
0167-7152

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✦ Synopsis

We consider random sets as (measurable) mappings from a probability space into the set of compact convex subsets of a Banach space and prove a uniform strong law of large numbers for sequences of independent and identically distributed random sets. Our results generalize those of . (~

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