Precise rates in the law of the logarithm for the moment convergence in Hilbert spaces

DOI10.1007/s10114-008-6529-1zbMath1179.60023OpenAlexW2143337213MaRDI QIDQ1034242

Ke Ang Fu, Zhang, Lixin

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6529-1

zbMATH Keywords

tail probabilitystrong approximationmoment convergencelaw of the logarithm

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Unnamed Item
• On the almost sure behavior of sums of iid random variables in Hilbert space
• A remark on the tail probability of a distribution
• Toward a general law of the iterated logarithm in Banach space
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Precise rates in the law of the logarithm in the Hilbert space
• Precise asymptotics in the law of the iterated logarithm.
• Precise rates in the law of iterated logarithm for the moment of i.i.d. random variables
• The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
• A Combinatorial Lemma and Its Application to Probability Theory
• Concerning a Certain Probability Problem
• A supplement to the strong law of large numbers
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins
• Remark on my Paper "On a Theorem of Hsu and Robbins"

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