On Berry-Esseen type bounds for m-dependent random variables valued in certain banach spaces

DOI10.1007/BF00534942zbMath0474.60006OpenAlexW2090107924MaRDI QIDQ3928710

Michel Talagrand, WanSoo T. Rhee

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534942

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

Uniform bound in the central limit theorem for Banach space valued dependent random variables ⋮ The rate of convergence in the central limit theorem for non-stationary dependent random vectors

Cites Work

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• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• The law of large numbers and the central limit theorem in Banach spaces
• Les fonctions aléatoires comme éléments aléatoires dans les espace de Banach
• On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
• On the Berry-Esseen theorem
• Sums of independent Banach space valued random variables
• An inequality for the distribution of a sum of certain Banach space valued random variables

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