Convolutions of long-tailed and subexponential distributions

Details Convolutions of long-tailed and subexponential distributions Convolutions of long-tailed and subexponential distributions

2008-10-12

arxiv.org/abs/0810.1994v2

Journal of Applied Probability, 46 (2009), 756--767

Mathematics

Probability

13 pages

Scientific paper

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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