An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a semistable law

DOI10.3103/S1066369X09110115zbMath1179.60016OpenAlexW2169386808MaRDI QIDQ1049351

L. P. Terekhova, Aleksey N. Chuprunov

Publication date: 12 January 2010

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x09110115

zbMATH Keywords

random sumalmost sure limit theorem\(p\)-semistable random variabledomain of attraction of a \(p\)-semistable law

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Strong limit theorems (60F15)

Related Items (2)

Necessary and Sufficient Conditions for the Uniform on a Segment Sinc-approximations Functions of Bounded Variation ⋮ Domains of operator semi-attraction of probability measures on Banach spaces

Cites Work

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• A probabilistic approach to domains of partial attraction
• A universal result in almost sure central limit theory.
• On the almost sure central limit theorem and domains of attraction
• An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Merging to Semistable Laws

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