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The Brunk–Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space

✍ Scribed by Son, Ta Cong; Thang, Dang Hung


Book ID
120387428
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
402 KB
Volume
83
Category
Article
ISSN
0167-7152

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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 . (~