Semi-Heavy Tails |
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| Authors: | Edward Omey Stefan Van Gulck Rein Vesilo |
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| Institution: | 1.Faculty of Economics and Business, KU Leuven,Brussels,Belgium;2.Department of Engineering,Macquarie University,North Ryde,Australia |
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| 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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