Superlarge deviations for sums of random variables with arithmetical super-exponential distributions

DOI10.3103/S1055134408030048zbMath1249.60039OpenAlexW1992030225MaRDI QIDQ3115376

Ch. Pagma, Anatoliĭ Alfredovich Mogul'skiĭ

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134408030048

zbMATH Keywords

deviation functionrandom walkGaussian approximationsuperlarge deviationslocal theoremsintegro-local theoremPoissonian approximationarithmetical super-exponential distribution

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10)

Cites Work

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• Integro-local theorems for sums of independent random vectors in the series scheme
• Large deviations and testing statistical hypotheses. II: Large deviations of maximum points of random fields
• On Large and Superlarge Deviations of Sums of Independent Random Vectors under Cramér's Condition. I
• On Large and Superlarge Deviations of Sums of Independent Random Vectors Under Cramér's Condition. II
• Regularly varying functions

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