Stabilité de sommes pondérées de variables aléatoires vectorielles. (Stability of weighted sums of vector random variables)

DOI10.1016/0047-259X(89)90081-XzbMath0677.60005MaRDI QIDQ1123470

Jean-Christian Alt

Publication date: 1989

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

stochastic convergenceweighted sums of random variablesalmost sure behaviour

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Isomorphic theory (including renorming) of Banach spaces (46B03) Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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An infinite-dimensional law of large numbers in Cesaro's sense ⋮ A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces ⋮ The Marcinkiewicz-Zygmund LLN in Banach spaces: a generalized martingale approach

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