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

DOI10.1016/j.spl.2013.04.023zbMath1281.60030OpenAlexW2087666657MaRDI QIDQ383862

Dang Hung Thang, Ta Cong Son

Publication date: 6 December 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2013.04.023

zbMATH Keywords

strong law of large numbers\(p\)-uniformly smooth Banach spacesfield of martingale differences

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

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On convergence of moving average series of martingale differences fields taking values in Banach spaces ⋮ On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application ⋮ Moment conditions in strong laws of large numbers for multiple sums and random measures

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