On stable random variables with a complex stability index

DOI10.1134/S1064562421060028zbMath1487.60031OpenAlexW4285055570MaRDI QIDQ2121832

I. A. Alexeev

Publication date: 5 April 2022

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

Full work available at URL: https://doi.org/10.1134/s1064562421060028

zbMATH Keywords

infinitely divisible distributionsstable distributionslimit theorems

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Stable stochastic processes (60G52)

Related Items (1)

On complexification of max-stable distributions

Cites Work

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• A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup
• The Lévy-Khinchin representation of the one class of signed stable measures and some its applications
• Invariant measures generated by random fields with independent values
• Symmetric \(\alpha\)-stable distributions with noninteger \(\alpha > 2\) and related stochastic processes
• Theorems on convergence of stochastic integrals distributions to signed measures and local limit theorems for large deviations
• Multi operator-stable random measures and fields
• Operator-Stable Probability Distributions on Vector Groups

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