A class of infinitely divisible distributions connected to branching processes and random walks

DOI10.1016/j.jmaa.2004.03.018zbMath1054.60018OpenAlexW1983915843MaRDI QIDQ1876709

Lennart Bondesson, F. W. Steutel

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.018

zbMATH Keywords

branching processesnegative binomial distributionrandom walkfirst passage timeinfinite divisibilitycomplete monotonicityBorel distributionBürmann-Lagrange formulaLambert's W

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Affine relation between an infinitely divisible distribution function and its Lévy measure ⋮ Some Utilizations of LambertWFunction in Distribution Theory

Cites Work

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• On moment sequences and infinitely divisible sequences
• Generalized gamma convolutions and related classes of distributions and densities
• Markov chain models - rarity and exponentiality
• On the Lambert \(w\) function
• Selected Topics from Pólya's Work in Complex Analysis