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arxiv: 0810.1994 · v2 · pith:QNQBBPLEnew · submitted 2008-10-12 · 🧮 math.PR

Convolutions of long-tailed and subexponential distributions

classification 🧮 math.PR
keywords convolutionsdistributionslong-tailedsubexponentialanalysisapproachcoherentconsequences
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Convolutions of long-tailed and subexponential distributions play a major role in the analysis of many stochastic systems. We study these convolutions, proving some important new results through a simple and coherent approach, and showing also that the standard properties of such convolutions follow as easy consequences.

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