On the rate of convergence in the central limit theorem and the type of the Banach space

DOI10.1016/0167-7152(84)90051-8zbMath0527.60008OpenAlexW2064629165MaRDI QIDQ595258

WanSoo T. Rhee

Publication date: 1984

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(84)90051-8

zbMATH Keywords

rate of convergenceBanach spacecentral limit theoremtype 2 space

Mathematics Subject Classification ID

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

Cites Work

• 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
• Asymptotic expansions for bivariate von Mises functionals
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