Precise asymptotics for complete moment convergence in Hilbert spaces

DOI10.1007/S12044-012-0052-0zbMath1270.60011OpenAlexW1993345220MaRDI QIDQ351576

Juan Chen, Ke Ang Fu

Publication date: 8 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-012-0052-0

zbMATH Keywords

convergence ratescomplete convergenceHilbert spacescomplete moment convergenceprecise asymptotics

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability theory on linear topological spaces (60B11) Limit theorems in probability theory (60F99)

Cites Work

• On the almost sure behavior of sums of iid random variables in Hilbert space
• Complete moment convergence of moving-average processes under dependence assumptions
• Precise rates in the law of the logarithm in the Hilbert space
• Precise asymptotics in complete moment convergence of moving-average processes
• 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
• Complete Moment Convergence for Sequences of Independent Random Elements in Banach Spaces
• 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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