Functional law of the iterated logarithm for partial sum processes of non-negative valued iid random variables belonging to the domain of partial attraction of a semi-stable law

DOI10.1016/J.SPL.2017.12.003zbMath1398.60050OpenAlexW2778673201MaRDI QIDQ1640921

Y. Aharonov

Publication date: 14 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.spl.2017.12.003

zbMATH Keywords

law of iterated logarithmsemi-stable lawsdomain of partial attractionalmost sure limit function

Mathematics Subject Classification ID

Strong limit theorems (60F15) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

Cites Work

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• On strong large deviation results for lightly trimmed sums and some applications
• Chover's law of the iterated logarithm and weak convergence
• A functional law of the iterated logarithm for a class of subordinators
• On the functional form of the law of the iterated logarithm for the partial maxima of independent identically distributed random variables
• Functional laws of the iterated logarithm for the partial sums of i.i.d. random variables in the asymmetric stable law
• A Generalization of Slowly Varying Functions
• On the Extension of the Class of Stable Distributions
• A Law of the Iterated Logarithm for Stable Summands
• Regularly varying functions

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