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On the small-time behavior of subordinators

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Publication:442077
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DOI10.3150/11-BEJ363zbMath1259.60049arXiv1207.5902OpenAlexW3100534893MaRDI QIDQ442077

Wolfgang Stadje, Shaul K. Bar-Lev, Andreas Löpker

Publication date: 9 August 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5902


zbMATH Keywords

regular variationsubordinatorPareto lawweak limit theorem


Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)


Related Items

Weak convergence of subordinators to extremal processes ⋮ A Numerical Study of Small Parameter Behavior of Some Families of Distributions



Cites Work

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  • Function spaces as Dirichlet spaces (about a paper by Maz'ya and Nagel)
  • The limiting behavior of some infinitely divisible exponential dispersion models
  • Generalized gamma convolutions, Dirichlet means, Thorin measures, with explicit examples
  • Existence of moments and an asymptotic result based on a mixture of exponential distributions
  • Introductory lectures on fluctuations of Lévy processes with applications.
  • Random minimal directed spanning trees and Dickman-type distributions
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