On convergence and compactness in variation with a shift of discrete probability laws

DOI10.1134/S106345412103002XzbMath1476.60034OpenAlexW3203041421MaRDI QIDQ2239074

A. A. Khartov, I. A. Alexeev

Publication date: 2 November 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106345412103002x

zbMATH Keywords

characteristic functionsrelative compactnessconvergence in variationstochastic compactnessLévy-Khinchin type representationquasi-infinitely divisible distributions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

Related Items (4)

Quasi-infinite divisibility of a class of distributions with discrete part ⋮ A criterion of quasi-infinite divisibility for discrete laws ⋮ A Cramér-Wold device for infinite divisibility of \(\mathbb{Z}^d \)-valued distributions ⋮ On weak convergence of quasi-infinitely divisible laws

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• Properties of stationary distributions of a sequence of generalized Ornstein-Uhlenbeck processes
• Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels
• On quasi-infinitely divisible distributions
• On quasi‐infinitely divisible distributions with a point mass

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