On the non-closure under convolution for strong subexponential distributions

In this paper, we consider the convolution closure problem for the class of strong subexponential distributions, denoted as S*. First, we show that, if F, G ∈ L, then inclusions of F*G, FG, and pF + (1 – p)G for all (some) p ∈ (0; 1) into the class S* are equivalent. Then, using examples constructe...

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Bibliographic Details
Main Authors: Dimitrios Konstantinides, Remigijus Leipus, Jonas Šiaulys
Format: Article
Language:English
Published: Vilnius University Press 2022-12-01
Series:Nonlinear Analysis
Subjects:
Online Access:https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/30208