Lithuanian Mathematical Journal

, Volume 58, Issue 4, pp 480–499 | Cite as

Semi-Heavy Tails

  • Edward OmeyEmail author
  • Stefan Van GulckEmail author
  • Rein Vesilo


In this paper, we study properties of functions and sequences with a semi-heavy tail, that is, functions and sequences of the form w(x) = e−βxf(x), β > 0, resp., wn = cnfn, 0 < c < 1, where the function f(x), resp., the sequence (fn), is regularly varying. Among others, we give a representation theorem and study convolution properties. The paper includes several examples and applications in probability theory.


semi-heavy tail regular variation convolutions asymptotic behaviour subordination 


26A12 33B99 60K05 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Economics and Business, KU LeuvenBrusselsBelgium
  2. 2.Department of EngineeringMacquarie UniversityNorth RydeAustralia

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