Multiply self-decomposable probability measures on ?+ and ?+

DOI10.1007/BF00538793zbMath0488.60027OpenAlexW2015794585MaRDI QIDQ3949722

Christian Berg, Gunnar Forst

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00538793

zbMATH Keywords

infinitely divisible probabilitycompletely self-decomposable probabilitiesrepresentation of generating functions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07)

Related Items (2)

Semi-self-decomposable distributions on \(\mathbb Z_{+}\) ⋮ An alternative approach to multiply self-decomposable probability measures on Banach spaces

Cites Work

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• Discrete analogues of self-decomposability and stability
• A general result on infinite divisibility
• Class L of multivariate distributions and its subclasses
• Representation of certain infinitely divisible probability measures on Banach spaces
• Characterization of subclasses of class L probability distributions
• A characterization of self-decomposable probabilities on the half-line
• On generalized gamma and generalized negative binomial convolutions. Part I
• Subordinates of the Poisson semigroup
• The Pareto distribution is a generalized Γ-convolution—a new proof
• On the infinite divisbility of the Pareto distribution

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