Law of large numbers for Banach-valued random variables

DOI10.1007/BF00966299zbMath0659.60013OpenAlexW1985076055WikidataQ114852801 ScholiaQ114852801MaRDI QIDQ1112413

S. H. Smith

Publication date: 1985

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00966299

zbMATH Keywords

rates of convergencelaws of large numbersBanach space of stable typeBanach space valued independent not necessarily identically distributed random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15) Geometry and structure of normed linear spaces (46B20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• On the accompanying laws theorem in Banach spaces
• Some stability results for vector valued random variables
• A Convexity Condition in Banach Spaces and the Strong Law of Large Numbers
• Central limit theorems and weak laws of large numbers in certain banach spaces
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Sums of independent Banach space valued random variables
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