On the self-normalized bounded laws of iterated logarithm in Banach space.

DOI10.1016/S0167-7152(03)00172-XzbMath1113.60300OpenAlexW2018596040MaRDI QIDQ1423125

Dianliang Deng

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(03)00172-x

zbMATH Keywords

Banach spaceRademacher seriesBounded law of iterated logarithmSelf-normalizerSymmetric random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

Self-normalized Wittmann's laws of iterated logarithm in Banach space ⋮ On the bounded laws of iterated logarithm in Banach space

Cites Work

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• Some extensions of the LIL via self-normalizations
• Self-normalized laws of the iterated logarithm
• An Isoperimetric Theorem on the Cube and the Kintchine-Kahane Inequalities

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