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Convolutions of Long-Tailed and Subexponential Distributions

Convolutions of Long-Tailed and Subexponential Distributions

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 also showing that the standard properties of such convolutions follow as easy consequences.