LIL behavior for B-valued strong mixing random variables

DOI10.1007/S11425-011-4196-7zbMath1222.60027OpenAlexW2124180167MaRDI QIDQ547409

Ke Ang Fu, Zhang, Lixin

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4196-7

zbMATH Keywords

law of the iterated logarithmBanach spacemixing random variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• The finite mean LIL bounds are sharp
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• Some results on LIL behavior
• The LIL when X is in the domain of attraction of a Gaussian law
• When is the cluster set of S//n/\(a_ n\) empty?
• Approximation theorems for independent and weakly dependent random vectors
• Rosenthal type inequalities for \(B\)-valued strong mixing random fields and their applications
• Limit theorems for mixing sequences without rate assumptions
• Toward a general law of the iterated logarithm in Banach space
• Some results on the cluster set \(C(\{S_n/a_n\})\) and the LIL
• Cluster sets for a generalized law of the iterated logarithm in Banach spaces
• Some results on two-sided LIL behavior
• Characterization of LIL behavior in Banach space
• Toward a universal law of the iterated logarithm, Part II
• The 1971 Rietz Lecture Sums of Independent Random Variables--Without Moment Conditions
• The Bounded Law of the Iterated Logarithm for Weakly Dependent Random Variables with Values in a Type 2 Banach Space

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