Another view of the CLT in Banach spaces

DOI10.1007/s10959-008-0166-6zbMath1163.60009OpenAlexW2085721333MaRDI QIDQ960187

Joel Zinn, James Kuelbs

Publication date: 16 December 2008

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-008-0166-6

zbMATH Keywords

Banach spacecentral limit theoremrandom seriessub-Gaussianlarge deviation rateminimal mapping

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Cluster sets for partial sums and partial sum processes

Cites Work

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• Isoperimetry and integrability of the sum of independent Banach-space valued random variables
• Extreme values and the law of the iterated logarithm
• Extreme values and a Gaussian central limit theorem
• Large deviations of the sample mean in general vector spaces
• Some results on the LIL in Banach space with applications to weighted empirical processes
• Central limit theorems for C(S)-valued random variables
• A strong convergence theorem for Banach space valued random variables
• Dominating points and large deviations for random vectors
• On the limit theorems for random variables with values in the spaces L p (2?p<?)

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