Semi-Heavy Tails

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

Jaar van publicatie:2018

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:0.1

CSS-citation score:1

Auteurs:International

Authors from:Higher Education

Toegankelijkheid:Open