ON THE WEAK LAW OF LARGE NUMBERS FOR SEQUENCES OF BANACH SPACE VALUED RANDOM ELEMENTS

DOI10.4134/BKMS.2006.43.3.551zbMath1129.60007MaRDI QIDQ3424426

Nguyen Van Quang, Le Hong Son

Publication date: 16 February 2007

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weak law of large numbersmartingale typep-uniformly smooth Banach spaces

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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A characterization of \(p\)-uniformly smooth Banach spaces and weak laws of large numbers for \(d\)-dimensional adapted arrays ⋮ On the weak law of large numbers for double adapted arrays of random elements in \(p\)-uniformly smooth Banach space

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