Abstract
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.
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Omey, E., Van Gulck, S. & Vesilo, R. Semi-Heavy Tails. Lith Math J 58, 480–499 (2018). https://doi.org/10.1007/s10986-018-9417-0
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DOI: https://doi.org/10.1007/s10986-018-9417-0