On the accompanying laws theorem in Banach spaces

DOI10.1214/aop/1176994462zbMath0471.60014OpenAlexW2081140020MaRDI QIDQ1157627

Joel Zinn, Vidyadhar Mandrekar, Aloisio Pessoa de Araujo, Evarist Giné M.

Publication date: 1981

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176994462

zbMATH Keywords

tightnessinfinitely divisible lawstriangular arrays of random vectors in a Banach space

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Normed linear spaces and Banach spaces; Banach lattices (46B99) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Law of large numbers for Banach-valued random variables

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